EFFECT OF STEP SIZE ON BIFURCATIONS AND CHAOS OF A MAP-BASED BVP OSCILLATOR

DOI10.1142/S0218127410026836zbMath1193.37055MaRDI QIDQ3586874

Hongjun Cao, Cai-Xia Wang, Miguel A. F. Sanjuán

Publication date: 1 September 2010

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

zbMATH Keywords

chaosbifurcationstep sizeBonhoeffer-van der Pol oscillatorsmap-based BVP model

Mathematics Subject Classification ID

Neural biology (92C20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Bifurcation and chaos in a discrete-time predator-prey system of Holling and Leslie type

Cites Work

• Topological conjugacy of discrete time-map and Euler discrete dynamical systems generated by a gradient flow on a two-dimensional compact manifold
• Subthreshold oscillations in a map-based neuron model
• On redefining a snap-back repeller
• Synchronization and propagation of bursts in networks of coupled map neurons
• CHAOS BEHAVIOR IN THE DISCRETE BVP OSCILLATOR

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