Chaos behavior in the discrete Fitzhugh nerve system

DOI10.1007/BF02880796zbMath1011.37053OpenAlexW2254083039MaRDI QIDQ1609622

Zhiyuan Jia, Yu Chang, Zhu-jun Jing

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02880796

zbMATH Keywords

discrete systemsnumerical simulationsHénon attractorcomplex dynamical behaviorschaotic phenomenaFitzhugh nerve systems

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05)

Related Items (1)

The snapback repellers for chaos in multi-dimensional maps

Cites Work

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• Critical dynamics of the Bonhoeffer-van der Pol equation and its chaotic response to periodic stimulation
• Prediction of horseshoe chaos in BVP and DVP oscillators
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Algorithms for controlling chaotic motion: Application for the BVP oscillator
• Nonexistence of periodic solutions for the FitzHugh nerve system
• On existence of periodic orbits for the FitzHugh nerve system

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