Chaos and bifurcation in the space-clamped FitzHugh--Nagumo system

DOI10.1016/j.chaos.2003.12.033zbMath1045.37058OpenAlexW2048487523MaRDI QIDQ1878271

Ying-Hui Gao

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.033

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (5)

Bifurcation analysis and chaos control in a discrete epidemic system ⋮ Property of period-doubling bifurcation cascades of discrete dynamical systems ⋮ Complex dynamic behaviors of a discrete-time predator-prey system ⋮ Synchronization of FitzHugh-Nagumo systems in EES via \(H_{\infty}\) variable universe adaptive fuzzy control ⋮ Controlling chaos in space-clamped FitzHugh-Nagumo neuron by adaptive passive method

Uses Software

• DMC

Cites Work

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• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Chaotic meander of spiral waves in the FitzHugh-Nagumo system
• Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
• CHAOS BEHAVIOR IN THE DISCRETE BVP OSCILLATOR
• ON THE MATHEMATICAL CLARIFICATION OF THE SNAP-BACK-REPELLER IN HIGH-DIMENSIONAL SYSTEMS AND CHAOS IN A DISCRETE NEURAL NETWORK MODEL
• Crises, sudden changes in chaotic attractors, and transient chaos

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