Quasi-Stability of Coexisting Attractors of a Neurodynamic Model with Delay-Reference-Cited by-同舟云学术

Quasi-Stability of Coexisting Attractors of a Neurodynamic Model with Delay

Published:2022-11 Issue:1 Volume:268 Page:24-45
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Goryunov V. E.,Preobrazhenskaya M. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s10958-022-06177-0.pdf

Reference22 articles.

1. S. V. Aleshin, “Estimate of invariant numeric exponents of attractors of systems of differential equations with delay,” in: Numerical Technologies in Natural Sciences [in Russian], Moscow (2014), pp. 10–17.

2. B. F. Bylov, R. E. Vinograd, D. M. Grobman, and V. V. Nemytsky, The Theory of Lyapunov Exponents and Its Applications to Stability Problems [in Russian], Nauka, Moscow (1966).

3. W. Cheney and D. Kincaid, Linear Algebra: Theory and Applications, Jones and Bartlett, Sudbury, Massachusetts (2012).

4. S. D. Glyzin, A. Yu. Kolesov, E. A. Marushkina, and M. M. Preobrazhenskaya, “Relaxation self-oscillations in a system of two synaptically connected impulse neurons,” in: XIX Int. Conf. “Neuroinformatics–2017,” Part 1 (Moscow, October 2–6, 2017) [in Russian], Moscow (2017), pp. 29–39.

5. S. D. Glyzin, A. Yu. Kolesov, and N. Kh. Rozov, “Discrete autowaves in neural systems,” Zh. Vychisl. Mat. Mat. Fiz., 52, No. 5 (2012), pp. 840–858.

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