Buffer phenomenon and chaos in circular chains of unidirectionally coupled oscillators

DOI10.1134/S1064562414050093zbMath1326.34064OpenAlexW2060474938WikidataQ59448390 ScholiaQ59448390MaRDI QIDQ483686

N. Kh. Rozov, S. D. Glyzin, A. Yu. Kolesov

Publication date: 17 December 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414050093

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• The Lyapunov dimension of strange attractors
• On a method for mathematical modeling of chemical synapses
• HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS
• Relaxation self-oscillations in Hopfield networks with delay
• Chaos phenomena in a circle of three unidirectionally connected oscillators

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