CHAOS BEHAVIOR IN THE DISCRETE BVP OSCILLATOR

DOI10.1142/S0218127402004577zbMath1069.65141WikidataQ128659385 ScholiaQ128659385MaRDI QIDQ4736362

Ruiqi Wang, Zhiyuan Jia, Zhu-jun Jing

Publication date: 9 August 2004

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

zbMATH Keywords

snap-back repellerchaosdiscrete dynamical systemsEuler schemeBonhoeffer-van der Pol oscillatorquasiperiodic orbitsbifurcations of periodic orbitsBVP oscillatorperiodic-doubling bifurcation

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Numerical chaos (65P20) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

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Cites Work

• 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