Bifurcation Analysis of the Nagumo–Sato Model and Its Coupled Systems

DOI10.1142/S0218127416300068zbMath1336.37042MaRDI QIDQ2806161

Takuji Kousaka, Kazuyuki Aihara, Daisuke Ito, Tetsushi Ueta

Publication date: 17 May 2016

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

zbMATH Keywords

border-collision bifurcationNagumo-Sato modeldiscrete-time hybrid dynamical system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Neural biology (92C20) Bifurcations of singular points in dynamical systems (37G10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05) Computational methods for bifurcation problems in dynamical systems (37M20) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Quasiperiodic-Chaotic Neural Networks and Short-Term Analog Memory

Cites Work

• Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
• Dynamics of Caianiello's equation
• Piecewise-smooth dynamical systems. Theory and applications
• Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
• Bifurcation of switched nonlinear dynamical systems
• NUMERICAL ANALYSIS OF TRANSIENT AND PERIODIC DYNAMICS IN SINGLE AND COUPLED NAGUMO–SATO MODELS
• BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS
• On the Chaos Region of the Modified Nagumo-Sato Model
• On a response characteristic of a mathematical neuron model
• Elements of applied bifurcation theory

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