Publications of A. M. Krot

Russian

Monographs

1. Krot, A. M. Discrete models of dynamical systems based on polynomial algebra. Minsk: Navuka i tekhnika, 1990. – 312 pp. [in Russian];

2. Krot, A. M., Minervina, H. B. Fast algorithms and programs for digital spectral processing of signals and images. Minsk: Navuka i tekhnika, 1995. – 407 pp. [in Russian];

3. Krot, A. M. A statistical theory of formation of gravitating cosmogonical bodies. Minsk: Bel. Navuka, 2012. – 448 pp. [in Russian].

4. +Krot, А.М. A Statistical Theory of Gravitating Body Formation in Extrasolar Systems/ A.M. Krot. – Cambridge, Newcastle upon Tyne, etc.: Cambridge Scholars Publishing, 2021. – 817p.

Selected articles

1. Krot, A. M. On a class of generalized shift operators in the theory of signals and systems / A. M. Krot // Soviet J. Comm. Tech. Electron. – 1986. – Vol. 31, no. 12. – P. 110-118. (translation of Radiotekhnika i Elektronika. – 1986. – Vol. 31, no. 8. – P. 1563-1570. (Scripta Technica, Inc., journal impact factor – 0,359)).

2. Krot, A. M. Synthesis of digital Fourier transformation algorithms for real sequences on the basis of polynomial algebra / A. M. Krot, H. B. Minervina // Soviet J. Comm. Tech. Electron. – 1987. – Vol. 32, no. 11. – P. 9-19. (translation of Radiotekhnika i Elektronika. – 1987. – No. 6. – P. 1217-1229. (Scripta Technica, Inc., journal impact factor – 0,359)).

3. Krot, A. M. Analysis of linear dynamic systems based on polynomial transformations of numerical sequences / A. M. Krot // Soviet J. Comm. Tech. Electron. – 1989. – Vol. 34, no. 1. – P. 6-13. (translation of Radiotekhnika i Elektronika. – 1988. – Vol. 33, no. 7. – P. 1458-1466. (Scripta Technica, Inc., journal impact factor – 0,359)).

4. Krot, A. M. Class of discrete random processes, nonstationary relative to a generalized shift operator. / A. M. Krot // Soviet J. Comm. Tech. Electron. – 1989. – Vol. 34, no. 8. – P. 23-31. (translation of Radiotekhnika i Elektronika. – 1988. – Т. 33, № 12. – С. 2515-2523. (Scripta Technica, Inc., journal impact factor – 0,359)).

5. Krot, A. M. Spectral analysis of a class of nonstationary random processes in discrete biorthogonal bases / A. M. Krot // Soviet J. Comm. Tech. Electron. – 1989. – Vol. 34, no. 12. – P. 51-59. (translation of Radiotekhnika i Elektronika. – 1989. – Vol. 34, no. 1. – P. 59-68. (Scripta Technica, Inc., journal impact factor – 0,359)).

6. Krot, A. M. Fast Fourier transform algorithms for the real and Hermitian-symmetrical sequences / A. M. Krot, H. B. Minervina // Soviet J. Comm. Tech. Electron. – 1990. – Vol. 34, no. 12. – P. 122-129. (translation of Radiotekhnika i Elektronika. – 1989. – Vol. 34, no. 2. – P. 369-376. (Scripta Technica, Inc., journal impact factor – 0,359)).

7. Krot, A. M. The method of eigentransforms in differetnt fields for computing cyclic convolution and discrete Fourier transforms / A. M. Krot // Comput. Maths Math. Phys. – 1989. – Vol. 29, no. 3. – P. 23-34. (translation of Zh. Vychisl. Mat. i Mat. Fiz. – 1989. – Vol. 29, no. 5. – P. 675-692. (Pergamon Press, journal impact factor – 0,585)).

8. Krot, A. M. Synthesis of fast-Fourier-transform (FFT) split-radix algorithms for real-valued and Hermite-symmetrical series / A. M. Krot, H. B. Minervina // Radioelectronics and Communication Systems. – 1989. – Vol. 32, no. 12. – P. 10-15. (translation of Izvestiya VUZ. Radioelektronika. – 1989. – Vol. 32, no. 12. – P. 12-17. (Allerton Press, Inc., journal impact factor – 0,137)).

9. Krot, A. M. Synthesis of fast proper transformation algorithms for discrete convolution in rational and real fields / A. M. Krot // Soviet J. Comm. Tech. Electron. – 1990. – No. 15. – P. 16-25. (translation of Radiotekhnika i Elektronika. – 1990. – Vol. 34, no. 2. – P. 372-381. (Scripta Technica, Inc., journal impact factor – 0,359)).

10. Krot, A. M. A Unified approach to calculating convolutions and the discrete Fourier transform based on proper transforms in rational and real fields / A. M. Krot // Soviet J. Comm. Tech. Electron.: – 1991. – No. 2. – P. 26-34. (translation of Radiotekhnika i Elektronika. – 1990. – Vol. 35, no. 4. – P. 805-815. (Scripta Technica, Inc., journal impact factor – 0,359)).

11. Krot, A. M. On a class of discrete quasistationary linear dynamic systems / A. M. Krot // Sov. Phys. Dokl. – 1990. – Vol. 35, no. 8. – P. 711-713. (translation of Physics Section of Doklady Akad. Nauk SSSR. – 1990. – Vol. 313, no. 6. – P. 1376-1380. (Journal impact factor – 0, 473)).

12. Krot, A. M. On the multiplicative complexity of bilinear forms for which the Vandermonde transformation is an eigentransformation / A. M. Krot // Sov. Math. Dokl. – 1991. – Vol. 42, no. 2. – P. 646-650. (translation of Mathematics Section of Doklady Akad. Nauk SSSR. – 1990. – Vol. 314, no. 6. – P. 1312-1315. (Journal impact factor –  0,307)).

13. Krot, A. M. Computational complexity of generalized K_N-convolutions and the fast Vandermonde transform algorithm / A. M. Krot // Comput. Maths Math. Phys. – 1990. – Vol. 30, no. 6. – P. 17-26. (translation of Zh. Vychisl. Mat. i Mat. Fiz. – 1990. – Vol. 30, no. 11. – P. 1625-1637. (Pergamon Press, journal impact factor – 0, 585)).

14. Krot, A. M. Spectral representation of sequences on a field of a class of residues/ A. M. Krot, H. B. Minervina // Electronnoe modelirovanie. – 1991. – Vol. 13, No. 1. – P. 9-13.

15. Krot, A. M. Analysis and generation of information flows in problems of modeling of dynamic systems based on polynomial algebra: abstract diss. the doctor tehn. nauk / A. M. Krot; ITK AN BSSR. – Minsk, 1991. – 32 p.

16. Krot, A. M. Comment: Conjugate pair fast Fourier transform / A. M. Krot, H. B. Minervina // Electronics Letters: – 1992. – Vol. 28, No. 10. – P. 1143-1144. (IEE, journal impact factor – 1,152).

17. Krot, A. M. New fast algorithms for filtering and interpolating digital signals and images / A. M. Krot // Pattern Recognition and Image Analysis (Advances in Mathematical Theory and Applications). – 1993. – Vol. 3, No. 2. – P. 126-136. (Interperiodica Publ.).

18. Krot, A. M. A fast algorithm for calculating the inverse convolution for signal and image reconstruction / A. M. Krot, A. T. Kasјko, H. B. Minervina // Comput. Maths Math. Phys. – 1996. – Vol. 36, no. 2. – P. 269-277. (translation of Zh. Vychisl. Mat. i Mat. Fiz. – 1996. – Vol. 36, no. 2. – P. 164-175. (Pergamon Press, journal impact factor – 0,585)).

19. Krot, A. M. The local-topological method of determining the minimal embedding dimension of the chaotic attractor / A. M. Krot, V. F. Dailyudenko // Dolklady of the Academy of sciences of Belarus. – 1996. – Vol. 40, No. 3. – P. 70-75.

20. Krot, A. M. Theory and methods of dynamic systems for solving signal processing problems / A. M. Krot // Usp. Sovr. radioelectroniki. – 1996. – No. 6. – P. 3-18.

21. Krot, A. M. Synthesizing fast algorithms for optimal discrete control by the method of polynomial equations / A. M. Krot // Automation and Remote Control. – 1996. – Vol. 57, no. 8. – P. 1079-1090. (translation of Avtomatica i Telemekhanika. – 1996. – no. 8. – P. 22-35. (Plenum Publ. Co., journal impact facot – 0,265)).

22. Krot, A. M. The statistical model of the gravitational interactions of particles / A. M. Krot // Usp. Sovr. radioelectroniki. –1996. – No. 8. – P. 66-81.

23. Krot, A. M. An efficient procedure for restoration of signals and image on the basis of a fast algorithm of convolution inversion / A. M. Krot, H. B. Minervina // Pattern Recognition and Image Analysis. –1996. – Vol. 6, No. 3. – P. 582-591.

24. Krot, A. M. Coding of images based on finite algebraic structures and fast convolution algorithm / A. M. Krot, M. N. Dolgikh, N. A. Romanovskaya // Pattern Recognition and Image Analysis. – 1997. –Vol. 6, No. 3079. – P. 782-790.

25. Krot, A. M. Calculation of the minimal embedding dimension of a chaotic attractor on the basis of local topological analysis of phase trajectories / A. M. Krot, V. F. Dailydenko // Comput. Maths Math. Phys. – 1997. – Vol. 37, no. 3. – P. 311-319. (translation of Zh. Vychisl. Mat. i Mat. Fiz. – 1997. – Vol. 37, no. 3. – P. 315-324. (Pergamon Press, journal impact factor – 0,585)).

26. Krot, A. M. Methods and microelectronic facilities of the digital filtering of signals and images on the basis of number theoretic / A. M. Krot, V. F. Kravchenko // Usp. Sovr. Radioelectroniki. – 1997. – No. 6. – P. 3-31.

27. Krot, A. M. Algorithms and the multiplicative complexity of the reduction a modulo arbitrary polynomial, generalized K_N-convolution and fast Vandermonde transform / A. M. Krot // Proc. of 13th Intern. Conf. on Digital Signal Proc. (DSP'97) / Greece — Santorini: 1997. — Vol. 2. — P. 893-897.

28. Krot, A. M. Algorithms and the multiplicative complexity of the reduction a modulo arbitrary polynomial, generalized K_N-convolution and fast Vandermonde transform / A. M. Krot, N. N. Prokudina // Proc. of 13th Intern. Conf. on Digital Signal Proc. (DSP'97) / Greece — Santorini: –1997. – Vol. 2. – P. 587-590.

29. Krot, A. M. Algorithms and the multiplicative complexity of the modulo arbitrary polynomial reduction for the generalized K_N-convolution and of the fast Vandermonde transform / A. M. Krot // Electromagnetic Waves &Electronic Systems. – 1998. – Vol. 3, No. 1. – P. 48-69.

30. Krot, A. M. Minimal multiplicative complexity and fast restoration algorithm of digital signals and images / A. M. Krot, H. B. Minervina // Proc. of SPIE 12th Annual Intern. Symposium on Aerospace / Defense Sensing, Simulation, and Controls (AeroSense), 13-17 Apr. / USA — Orlando, Florida: – 1998. – Vol. 3374. – P. 426-435.

31. Krot, A. M.  Fast reduction a modulo polynomial and fast Vandermonde transform based on fast Fourier transform algorithms / A. M. Krot // Proc. of SPIE 12th Annual Intern. Symposium on Aero-space / Defense Sensing, Simulation, and Controls (AeroSense), 13-17 Apr. / USA — Orlando, Florida: – 1998. – Vol. 3374. – P. 505-514.

32. Krot, A. M. Fast algorithms for reduction a modulo polynomial and Vandermonde transform using FFT / A. M. Krot, H. B. Minervina // Proc. of IX European Signal Processing Conference, (EUSIPCO-98), 8-11 September / Greece —Rhodes: – 1998. – Vol. 1. – P. 173-176. 

33. Krot, A. M. Identification of discrete input nonlinear systems for digital chaotic signal processing / A. M. Krot, M. A. Shcherbakov // in "Recent Advances in Information Science and Technology", World Scientific. – Singapore, New Jersey, London, Hong Kong: 1998. – P. 251-253.

34. Krot, A. M. Identification of discrete input nonlinear systems for digital chaotic signal processing / A. M. Krot, M. A. Shcherbakov // Proc. of 2^nd IMACS/IEEE International Conference on: Circuits, Systems and Computers (IMACS-CSC'98). –1998. – Vol. 2. – P. 795-797.

35. Krot, A. M. An algorithm for fast polynomial reduction in digital signal processing problems / A. M. Krot, H. B. Minervina // in "Recent Advances in Information Science and Technology", World Scientific. – Singapore, New Jersey, London, Hong Kong: 1998. – P. 195-198.

36. Krot, A. M. An algorithm for fast polynomial reduction in digital signal processing problems / A. M. Krot, H. B. Minervina // Proc. of 2^nd IMACS/IEEE International Conference on: Circuits, Systems and Computers (IMACS-CSC'98). – 1998. – Vol. 2. – P. 827-830.

37. Krot, A. M. The analysis of dynamics of a complicated system state on phase portraits in space of eigenvectors / A. M. Krot, A. A. Boriskevich, V. M. Demko, P. P. Tkachova // in "Recent Advances in Information Science and Technology", World Scientific. – Singapore, New Jersey, London, Hong Kong: 1998. – P. 191-194.

38. Krot, A. M. The analysis of dynamics of a complicated system state on phase portraits in space of eigenvectors / A. M. Krot, A. A. Boriskevich, V. M. Demko, P. P. Tkachova // Proc. of 2^nd IMACS/IEEE International Conference on: Circuits, Systems and Computers (IMACS-CSC'98). –1998. –Vol. 2. – P. 874-877.

39. Krot, A. M. Eigen transforms over finite rings in filter bank structures / A. M. Krot, V. O. Kudryavtsev // Proc. of 6^th IEEE Intern. Workshop on Intelligent Signal Processing and Communication Systems, 4-6 November / Australia – Melbourne: 1998. – P. 877-880. 

40. Krot, A. M. Identification of Discrete 1-D and 2-D input nonlinear systems for digital signal and image processing / A. M. Krot, M. A. Shcherbakov // Proc. of 6^th IEEE Intern. Workshop on Intelligent Signal Processing and Communication Systems, 4-6 November / Australia – Melbourne: 1998. – P. 881-885. 

41. Krot, A. M. Minimal attractor embedding dimension for discrete dynamic system based on state-space methods / A. M. Krot, H. B. Minervina // Proc. of SPIE 13th Annual Intern. Symposium on Aerospace / Defense Sensing, Simulation, and Controls (AeroSense), 5-9 April / USA – Orlando, Florida: 1999. – Vol. 3720. – P. 416-422.

42. Krot, A. M. The variability problem solving in speech recognition based on nonlinear filtering / A. M. Krot, P. P. Tkachova // Proc. of SPIE 13th Annual Intern. Symposium on Aerospace / Defense Sensing, Simulation, and Controls (AeroSense), 5-9 April / USA – Orlando, Florida: 1999. – Vol. 3720. – P. 423-433.

43. Krot, A. M. Use of the statistical model of gravity for analysis of nonhomogeneity in earth surface / A. M. Krot // Proc. of SPIE 13th Annual Intern. Symposium on Aerospace / Defense Sensing, Simulation, and Controls (AeroSense), 5-9 April / USA – Orlando, Florida: 1999. – Vol. 3710, part 2. – P. 1248-1259.

44. Krot, A. M. The use of nonlinear signal decomposition into functional series for speech recognition / A. M. Krot, P. P. Tkachova // Proc. of the 3^rd World Multiconference on: Circuits, Systems, Communications and Computers (IEEE/WSES/ IMACS) CSCC'99. –1999. – Vol. 1. – P. 2281-2286.

45. Krot, A. M. The use of nonlinear signal decomposition into functional series for speech recognition / A. M. Krot // Proc. of the 3^rd World Multiconference on: Circuits, Systems, Communications and Computers (IEEE/WSES/ IMACS) CSCC'99. –1999. – Vol. 1. – P. 2291-2296.

46. Krot, A. M. The nonlinear signal decomposition in voice recognition system constructing / A. M. Krot, P. P. Tkachova // Proc. of the Intern. Workshop "Models and analysis of vocal emissions for biomedical applications", 1-3 Sept / Italy – Firenze: 1999. – P. 54-58.

47. Krot, A. M. Minimal attractor embedding dimension for discrete dynamic system using state-space method: theoretical ground / A. M. Krot, H. B. Minervina // Proc. of the 6^th IEEE Int. Conf. on Electronics, Circuits and Systems, (ICECS'99), 5-8 Sept. / Cyprus – Pafos: 1999. – Vol. 2. – P. 941-944.

48. Krot, A. M. The development of fast procedures for optimal discrete control problems based on Diophantine equations / A. M. Krot // Proc. of the Artificial Neural Networks in Engineering Conference (ANNIE'99) "Smart engineering system design", 7-10 November / USA – St. Louis, Missouri, New York: ASME Press, 1999. – Vol. 9. – P. 645-651.

49. Krot, A. M. Nonlinear dynamics methods application to electrocardiosignal exploration / A. M. Krot, V. F. Dailyudenko, H. B. Minervina // Proc. of the 5^th Intern. Symp. on Signal Processing and its Applications, August 22-25 / Australia. –1999. – Vol. 1. – P. 191-194.

50. Krot, A. M. The theory of filter bank analysis and synthesis and their application / A. M. Krot, V. O. Kudrjavtsev // Usp. Sovr. Radioelectroniki. – 1999. No. 2. – P. 3-17.

51. Krot, A. M. Statistical description of gravitational field: a new approach / A. M. Krot // Proc. of SPIE 14th Annual Intern. Symposium on Aerospace / Defense Sensing, Simulation, and Controls (AeroSense), 24-28 April / USA – Orlando, Florida:  2000. – Vol. 4038. – P. 1318-1329.

52. Krot, A. M. Biomedical signal processing based on spectral and chaotic dynamic methods // A. M. Krot, H. B. Minervina // Proc. of SPIE 14th Annual Intern. Symposium on Aerospace / Defense Sensing, Simulation, and Controls (AeroSense), 24-28 April / USA – Orlando, Florida: 2000. – Vol. 4052. – P. 353-361.

53. Krot, A. M. Speech recognition based on nonlinear signal decomposition / A. M. Krot, P. P. Tkachova // Proc. of SPIE 14th Annual Intern. Symposium on Aerospace / Defense Sensing, Simulation, and Controls (AeroSense), 24-28 April / USA – Orlando, Florida:  2000. – Vol. 4056. – P. 482-489.

54. Krot, A. M. On approach to speech recognition using nonlinear signal decomposition into Volterra-Wiener functional series / A. M. Krot, P. P. Tkachova // Proc. of the 10^th Mediterranean Electrotechnical Conference (Melecon 2000), May 29-31 / Cyprus – 2000. – Vol. 2. – P. 522-525.

55. Krot, A. M. Chaotic dynamic methods based on decomposition of vector functions in vector-matrix series into state-space / A. M. Krot // Proc. of the 10^th Mediterranean Electrotechnical Conference (Melecon 2000), May 29-31 / Cyprus – 2000. – Vol. 2. – P. 643-646.

56. Krot, A. M. Biomedical signal processing based on estimation of minimal dimension embedding of chaotic attractor / A. M. Krot, H. B. Minervina // Proc. of the 10^th Mediterranean Electrotechnical Conference (Melecon 2000), May 29-31 / Cyprus – 2000. – Vol. 2. – P. 733-736.

57. Krot, A. M. Nonlinear dynamics method based on locally-topological analysis of phase trajectories / A. M. Krot, H. B. Minervina // Proc. of the 4^rd World Conf. on: Circuits, Systems, Communications and Computers (IEEE/WSES) CSCC'2000, Vouliagmeni, July 10-15 / Greece – Athens: 2000. – P. 4771-4774.

58. Krot, A. M. The model of slow-gravitating spheroidal body based on statistical approach / A. M. Krot // Proc. of the 2^nd World Conf. on: Mathematics&Computers in Physics(MCP'2000), Vouliagmeni, July 10-15 / Greece – Athens: 2000. – P. 5181-5188.

59. Krot, A. M. Nonlinear signal decomposition into functional series for speech recognition: a new approach / A. M. Krot, P. P. Tkachova, B. A. Goncharov // Proc. of X European Signal Processing Conf. (EUSIPCO-2000), 5-8 September / Finland – Tampere: 2000. – Vol. 3. – P. 1285-1288.

60. Krot, A. M. The decomposition of vector functions in vector-matrix series into state-space of nonlinear dynamic system / A. M. Krot // Proc. of X European Signal Processing Conf. (EUSIPCO-2000), 5-8 September / Finland – Tampere: 2000. – Vol. 3. – P. 2453-2456.

61. Krot, A. M. Using linear and nonlinear decompositions in state-space for calculating minimal dimension embedding of chaotic attractor / A. M. Krot, H. B. Minervina // Proc. of X European Signal Processing Conf. (EUSIPCO-2000), 5-8 September / Finland – Tampere: 2000. – Vol. 3. – P. 1613-1616.

62. Krot, A. M. Matrix decompositions of vector functions and shift operators on the trajectories of a nonlinear dynamical system / A. M. Krot // Nonlinear Phenomena in Complex Systems. – 2001. – Vol.  4, No. 2. – P. 106-115.

63. Krot, A. M. Gravidynamical equations for a weakly graviting spheroidal body / A. M. Krot // Proc. of SPIE 15^thAnnual Intern. Symposium on Aerospace / Defense Sensing, Simulation, and Controls (AeroSense), 16-20 April / USA –Orlando, Florida: 2001. – Vol. 4394. – P. 1271-1282.

64. Krot, A. M. On algorithm for phoneme speech recognition using nonlinear signal decomposition / A. M. Krot, P. P. Tkachova, H. B. Minervina // Proc. of the 8^th IEEE Intern. Conference on Electronics, Circuits and Systems (ICECS 2001), 2-5 September / Malta:  2001. – P. 1251-1254. 

65. Krot, A. M. Minimal attractor embedding estimation based on matrix decomposition for analysis of dynamical systems / A. M. Krot, H. B. Minervina // Nonlinear Phenomena in Complex Systems. –2002. – Vol. 5, No. 2. – P.161-172.

66. Krot, A. M. New approach to speech signal recognition using nonlinear signal decomposition by measuring Wiener kernels / A. M. Krot, P. P. Tkachova, B. A. Goncharov // Smart Engineering System Design. – 2002. – Vol. 4 – P. 265-276.

67. Krot, A. M. Analysis of nonlinear signals based on estimating minimal attractor embedding dimension / A. M. Krot, H. B. Minervina // Proc. of 14^th Intern. Conference on Digital Signal Processing (DSP’2002), July 1-3 / Greece – Santorini: 2002. – Vol. 2. – P. 1001-1004.

68. Krot, A. M. Application of expansion into matrix series to analysis of attractors of complex nonlinear dynamical systems / A. M Krot // Proc. of 14^th Intern. Conference on Digital Signal Processing (DSP’2002), July 1-3 / Greece – Santorini: 2002. – Vol. 2. – P. 959-962.

69. Krot, A. M. Development of gravidynamical equations for a weakly gravitating body in the vicinity of absolute zero temperature / A. M. Krot // Proc. of 53^rd Intern. Astronautical Congress (IAC) - The 2^nd World Space Congress (WSC-2002), October 10-19 / USA – Houston, Texas: 2002. – P. 1-11.

70. Krot, A. M. Restoration of dynamical systems attractors and estimation of their geometric characteristics into state-space / A. M. Krot, H. B. Minervina // In: Lecture Notes in Computer Sciences, (Computational Science and Its Applications–ICCSA 2003, May, 2003), Springer / Canada – Montreal: 2003. – Vol. 2667, part 1. – P. 407-416.

71. Krot, A. M. Investigation of geometric shapes of hydrodynamic structures for identification of dynamical states of convective liquid / A. M. Krot, P. P. Tkachova // In: Lecture Notes in Computer Sciences, (Computational Science and Its Applications – ICCSA 2003, May, 2003), Springer / Canada – Montreal: 2003. – Vol. 2667, part 1. – P. 398-406.

72. Krot, A. M. The equations of movement of rotating and gravitating spheroidal body / A. M. Krot // Proc. of 54 Intern. Astronautical Congress (IAC), September 29-October 3 / Germany – Bremen: Preprint IAC-03-J.1.08, 2003. – P. 1-11.

73. Krot, A. M. Estimating the medical state on the basis of characteristics attractor in the reconstructed state-space fr om electrocardiosignals / A. M. Krot, H. B. Minervina // Proc. of 54 Intern. Astronautical Congress (IAC), September 29-October 3 / Germany – Bremen: Preprint IAC-03-J.1.08, 2003. – P. 1-7.

74. Krot, A. M. The development of model for boundary layers past a concave wall with usage of nonlinear dynamics methods / A. M. Krot, V. A. Baldin. H. B. Minervina // Advances in Space Research. – 2006. – Vol. 37, No. 3. – P. 501-506. (Elsevier Publ. Co., journal impact factor – 1,409).

75. Krot, A. M. The attractor model for finite length Gцrtler whirlwinds / A. M. Krot, V. A. Baldin, H. B. Minervina // Electromagnetic Waves and Electronics Systems. – 2006. – Vol. 11, № 2-3 – P. 33-40.

76. Krot, A. M. On the principal difficulties and ways to their solution in the theory of gravitational condensation of infinitely distributed dust substance / A. M. Krot / Proc. of the 2007 IAG General Assembly in the book “Observing our Changing Earth” (Ed. by M.G. Sideris), Springer / Germany – Berlin, Heidelberg: 2009. – Vol.133. – P. 283-292.

77. Krot, A. M. The development of matrix decomposition theory for nonlinear analysis of chaotic attractors of complex systems and signals / A. M. Krot // Proc. of IEEE 16^th International Conference on Digital Signal Processing (DSP 2009), July 5-7 / Greece – Thira, Santorini: 2009.

78. Krot, A. M. A statistical approach to investigate the formation of the solar system / A. M. Krot // Chaos, Solitons and Fractals. – 2009. – Vol. 41, № 3. – P. 1481-1500. (Elsevier Publ. Co., journal impact factor – 3,12).

79. Krot, A. M. Self-organization processes in a slow-flowing gravitational compressible cosmological body / A. M. Krot // Selected papers of the CHAOS-2008 International Conference in the book "Topics on Chaotic Systems", World Scientific / Ed. by C.H. Skiadas, I. Dimotikalis, C. Skiadas – Singapore, New Jersey, London, Hong Kong: 2009. – P. 190-198.

80. Krot, A. M. A quantum mechanical approach to description of initial gravitational interactions based on the statistical theory of spheroidal bodies / A. M. Krot // Nonlinear Sci. Lett. A. – 2010. – Vol. 1, No. 4 – P. 329-369.

81. Krot, A. M. Bifurcation analysis of attractors of complex systems based on matrix decomposition theory / A. M. Krot // Proc. of IEEE Intern. Conf. on Industrial Engineering and Management (IEEE IEM 2011), August 12-14 / China – Zhengzhou: 2011.

82. Krot, A. M. A nonlinear Schrödinger-like equation in the statistical theory of spheroidal bodies / A. M. Krot // Chaotic Modeling and Simulation (CMSIM) – 2012. – Vol. 2, No.1. – P. 67-80.

83. Krot, A. M. A Models of forming planets and distribution of planetary distances and orbits in the solar system based on the statistical theory of spheroidal bodies / A. M. Krot // Chapter in the book “Solar system: structure, formation and exploration” / USA – New York: Nova science publishers, 2012. – P. 201-264.

84. Krot, A. M. Nonlinear analysis of the Hopfield network dynamical states using matrix decomposition theory / A. M. Krot, R. A. Prakapovich // Chaotic modeling and simulation. – 2013. – Vol. 1. – P. 133-146.

85. Krot, A. M. A nonlinear Schrödinger-like equation in the statistical theory of formation of cosmological bodies / A. M. Krot // Chapter in the book “Chaos and Complexity Research Compendium” / USA – New York: Nova Science Publishers, 2013. – Vol. 3. – P. 93-112.

86. Krot, A. M. On the universal stellar law for extrasolar systems / A. M. Krot // Planetary and Space Science – 2014. – Vol. 101C. – P. 12-26. (Elsevier Publ. Co., journal impact factor – 1,942).

87. Krot, A. M. Development of the statistical theory of forming cosmogonical bodies to explain a stability of the orbital movements of planets and the forms of planetary orbits / A. M. Krot // 2nd International Conference and Exhibition on Satellite & Space Missions / Germany — Berlin: Journal of Aeronautics & Aerospace Engineering, 2016. — Vol. 5, Issue 2. — P. 45.

88. Krot, A. M. An explanation of stability of extrasolar systems based on the universal stellar law / A. M. Krot // Proceedings of 10th CHAOS Conference, 30 May – 2 June 2017 // Spain: – Barselona.: ed. Christos H. Skiadas – 487 - 504 pp.

89. Крот, А. М. The combined Kepler 3rd law with universal stellar law: Derivation and application to extra solar systems investigation / А.М.Крот // 3^rd International Conference and Exhibition on «Satellite & Space Missions», Barselona, Spain, May11-13, 2017 / Journal of Aeronautics & Aerospace Engineering. – Vol.6, Issue 2. – P. 72.

90. Krot, A.M. Development of the generalized nonlinear Schrödinger equation of rotating cosmogonical body formation/ A.M. Krot // In the book "Complex Systems: Theory and Applications“, Chapter 3. – New York: Nova Science Publishers, 2017, pp.49-94.  

    91. Krot A.M. Derivation and investigation of the generalized nonlinear Schrödinger equation of cosmogonical body forming. In the book “Mathematical and Numerical Aspects of Dynamical System Analysis”/ Ed. by J. Awrejcewicz et al. – Łódź: ARSA Druk i Reklama, 2017, pp. 277-288.

92.Krot A.M. An explanation of stability of extrasolar systems based on the universal stellar law. Chaotic Modeling and Simulation (CMSIM), 2018, vol. 7, no. 4,  pp. 513-529.

93.Krot A. M., Sychou U. A. The analysis of chaoticr egimes in Chua’s circuit with smooth nonlinearity based on the matrix decomposition method. Vestsi Natsyyanal’nai akademii navuk Belarusi. Seryya fizika-technichnych navuk =Proceedings of the National Academy of Sciences of Belarus. Physical-technical series, 2018, vol. 63, no. 4, pp. 501–512 (in Russian); https://doi.org/10.29235/1561-8358-2018-63-4-501-512.

94.Krot  A. M., Petrovich O. N., Rusetski I. S. Calculation algorithm of the trajectories of electrons in electrostatic and magnetostatic fields of electron-optical systems. Vestsі Natsyianal'nai akademіі navuk Belarusі. Seryia fіzіka-matematychnykh navuk = Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics series, 2019, vol. 55, no. 4, pp. 435–444 (in Russian); https://doi.org/10.29235/1561-2430-2019-55-4-435-444.

95.Krot A. M., Sychou U. A. A spectral analysis of chaotic oscillations in simulation model of Chua’s circuit developed with use of matrix decomposition. Informatics, 2019, vol. 16, no. 1, pp. 7–23 (in Russian).

96.Krot A.M. Analysis of dynamical states of cosmogonical body formation based on the generalized nonlinear Schrodinger-like equation. Chaotic Modeling and Simulation (CMSIM). 2019, vol. 8, no.2 (April issue), pp. 95-107.

97.Krot A.M.  An evolutionary model of chaotic wave processes in complex dynamical systems based on the matrix decomposition theory. Dopovіdі Nacіonal'noї akademії nauk Ukraїni=Reports of the National Academy of Sciences of Ukraine, 2019, no. 9, pp. 12–19 (in Russian); https://doi.org/10.15407/ dopovidi2019.09.012

98.Krot A. M., Pavlov S. I. Modeling and nonlinear analysis of chaotic wave processes in electrochemically active neuronal media based on matrix decomposition. Informatics, 2020, vol. 17, no. 3, pp. 7−24 (in Russian); https://doi.org/10.37661/1816-0301-2020-17-3-7-24.

99.Krot А.М., Sychou U. A. Investigation of chaotic dynamics of Chua’s circuit implemented by means of the matrix decomposition method. Chaotic Modeling and Simulation (CMSIM), 2020, no.1, pp. 55-73.

100.Krot А.М. On the wave solutions of the generalized nonlinear Schrodinger-like equation of formation of a cosmogonical body. In the book “Understanding the Schrodinger Equation: Some [Non]Linear Perspectives”, Chapter 4. –  New York: Nova Science Publishers, 2020, pp. 93-133.

101. Krot A.M. "The generalized nonlinear Schrödinger-like equation of cosmogonical body forming: Justification and determination of its particular solutions". Partial Differential Equations in Applied Mathematics., 2022. –  Vol. 5 (June), 100376. doi: https://doi.org/10.1016/j.padiff.2022.100376)

102. Krot A.M. "On the Analytical Models of Protoplanetary Formation in Extrasolar Systems". Space: Science & Technology. –  2022. –  Article ID 9862389.

103. Krot A.M., Sychev V.A. "On the features of nonlinear analysis of dynamic systems based on the matrix decomposition method". Weight. Nats. acad. navuk Belarussi. Ser. phys.-mat. sci. – 2022. – vol. 58, No. 2. – pp. 190-207. doi: https://doi.org/10.29235/1561-2430-2022-58-2-190-207 ).