The genesis of period-adding bursting without bursting-chaos in the Chay model
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Publication:5966247
DOI10.1016/j.chaos.2005.04.038zbMath1083.37535OpenAlexW4243409715MaRDI QIDQ5966247
Qi-Shao Lu, Li Li, Zhuoqin Yang
Publication date: 13 February 2006
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.038
Neural biology (92C20) Dynamical systems in biology (37N25) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Simulation of dynamical systems (37M05)
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Cites Work
- Chaos in a three-variable model of an excitable cell
- From simple to complex oscillatory behaviour via intermittent chaos in the Rose-Hindmarsh model for neuronal activity
- From simple to simple bursting oscillatory behaviour via chaos in the Rose- Hindmarsh model for neuronal activity
- Crisis-induced chaos in the Rose-Hindmarsh model for neuronal activity
- Complex nonlinear dynamics of the Hodgkin - Huxley equations induced by time scale changes
- BURSTING, SPIKING, CHAOS, FRACTALS, AND UNIVERSALITY IN BIOLOGICAL RHYTHMS
- A SERIES OF BIFURCATION SCENARIOS IN THE FIRING PATTERN TRANSITIONS IN AN EXPERIMENTAL NEURAL PACEMAKER
- CLASSIFICATION OF BIFURCATIONS AND ROUTES TO CHAOS IN A VARIANT OF MURALI–LAKSHMANAN–CHUA CIRCUIT
- NEURAL EXCITABILITY, SPIKING AND BURSTING
- Homoclinical chaos and the period-adding route to complex non-chaotic attractors in fluidized bed catalytic reactors.
- Elements of applied bifurcation theory
