Perturbed Li-Yorke homoclinic chaos
M Akhmet, MO Fen, A Kashkynbayev - 2018 - open.metu.edu.tr
It is rigorously proved that a Li-Yorke chaotic perturbation of a system with a homoclinic orbit
creates chaos along each periodic trajectory. The structure of the chaos is investigated, and …
creates chaos along each periodic trajectory. The structure of the chaos is investigated, and …
Almost periodicity in chaos
M Akhmet, M Akhmet - Almost Periodicity, Chaos, and Asymptotic …, 2020 - Springer
The present chapter is one of the core parts of this book. It combines the existence of
continuous almost periodic solutions which appear in the special way (the cascade of almost …
continuous almost periodic solutions which appear in the special way (the cascade of almost …
Abstract hyperbolic chaos
M Akhmet - arXiv preprint arXiv:2006.14700, 2020 - arxiv.org
The abstract hyperbolic sets are introduced. Continuous and differentiable mappings as well
as rate of convergence and transversal manifolds are not under discussion, and the …
as rate of convergence and transversal manifolds are not under discussion, and the …
Modular chaos for random processes
M Akhmet - arXiv preprint arXiv:2004.08383, 2020 - arxiv.org
In the present paper, an essential generalization of the symbolic dynamics is considered.
We apply the notions of abstract self-similar sets and the similarity map for a chaos …
We apply the notions of abstract self-similar sets and the similarity map for a chaos …
Basic theory of impulsive quaternion-valued linear systems
A Kashkynbayev, M Mustafa - Fourth International Conference on Analysis …, 2018 - Springer
In this chapter, we consider linear quaternion-valued ordinary differential equations (QDEs)
with impulses at fixed times. We consider linear homogeneous and nonhomogeneous …
with impulses at fixed times. We consider linear homogeneous and nonhomogeneous …
Homoclinic Chaos and Almost Periodicity
M Akhmet, M Akhmet - Almost Periodicity, Chaos, and Asymptotic …, 2020 - Springer
It is rigorously proved that a Li-Yorke chaotic perturbation of a system with a homoclinic orbit
creates chaos along each periodic trajectory. The structure of the chaos is investigated, and …
creates chaos along each periodic trajectory. The structure of the chaos is investigated, and …
SICNN with Chaotic/Almost Periodic Postsynaptic Currents
M Akhmet, M Akhmet - Almost Periodicity, Chaos, and Asymptotic …, 2020 - Springer
This chapter is of big interest to those readers, who look for three subjects of investigation:
neural networks theory; nonlinear oscillations; and development of results for discontinuous …
neural networks theory; nonlinear oscillations; and development of results for discontinuous …