NUMERICAL ANALYSIS OF TRANSIENT AND PERIODIC DYNAMICS IN SINGLE AND COUPLED NAGUMO–SATO MODELS

DOI10.1142/S0218127412300212zbMath1270.37028OpenAlexW1963786998MaRDI QIDQ2843562

Kazuyuki Aihara, Makito Oku

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412300212

zbMATH Keywords

piecewise linear mapFarey sequencetransient dynamicsdevil's staircaseNagumo-Sato model

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (4)

Asymptotic behavior of non-expanding piecewise linear maps in the presence of random noise ⋮ Periodicity of non-expanding piecewise linear maps and effects of random noises ⋮ Bifurcation Analysis of the Nagumo–Sato Model and Its Coupled Systems ⋮ Quasiperiodic-Chaotic Neural Networks and Short-Term Analog Memory

Cites Work

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