Horseshoes of periodically kicked van der Pol oscillators

DOI10.1063/1.4769361zbMath1319.34091OpenAlexW2083184107WikidataQ51282190 ScholiaQ51282190MaRDI QIDQ2944650

Lai-Sang Young, Brian Ryals

Publication date: 2 September 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4769361

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (1)

Complexity in a Hybrid van der Pol System

Cites Work

• Dynamics of periodically kicked oscillators
• Mathematical foundations of neuroscience
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Patterns of phase compromise in biological cycles
• Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
• Toward a theory of rank one attractors
• Continuation-based Computation of Global Isochrons
• Chaotic attractors of relaxation oscillators
• Horseshoes in the forced van der Pol system
• On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y ² )y˙ + y = b λk cos(λl + α), k Large

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