ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


бифуркации

Dynamical modes and nonlinear phenomena in modified autooscillatory system with frequency-phase control

In the proposed paper, we investigate the dynamical behavior of the modified system with frequency-phase control, which uses two-channel discriminator in the circuit of phase control and multi-frequency discriminator with periodic nonlinearity in the circuit of frequency control. We consider the case of identical low-pass filters of the third order in the both control circuits. Mathematical model of analyzed frequency-phase system is presented by a nonlinear dynamical system in the four-dimensional cylindrical phase space.

Legacy of Alexander Mikhailovich Lyapunov and nonlinear dynamics

Aim. The aim of the work is to study the scientific heritage of A.M. Lyapunov from the standpoint of nonlinear physics. Fundamental importance Lyapunov’s contribution is determined not only by the methods he created, which became the basis of the mathematical apparatus in the study of nonlinear phenomena, but his ideas and concepts introduced by him contributed to the formation of concepts and principles of nonlinear dynamics. Method. The study is based on an analysis of Lyapunov’s original works with the involvement of existing literature on his scientific heritage.

Nonlinear dynamical models of neurons: Review

Topic. A review of the basic dynamical models of neural activity is presented and individual features of their behavior are discussed, which can be used as a basis for the subsequent development and construction of various configurations of neural networks. The work contains both new original results and generalization of already known ones published earlier in different journals.

Pages

Уважаемые участники конференции "Нелинейные дни"! Если вы не видите свою статью в тематическом №5 за этот год, то не расстраивайтесь, значит ваша статья просто туда не уместилась (Роскомнадзор ограничивает нас 132 страницами в выпуске) и будет опубликована в №1 за 2024 год. С уважением, редакция журнала "Известия вузов. Прикладная нелинейная динамика".