Dynamics of Periodically-kicked Oscillators

2010/04/05 by Kevin Lin, Lai-Sang Young, Lin, Kevin K. +1
Physics and Astronomy · Computer Science · #Quantum chaos and dynamical systems #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.1004.0565

Abstract

We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically-kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.

Citations

• Impulses and Physiological States in Theoretical Models of Nerve Membrane

Related

• The Gaussian Kicked Rotor: Periodic forcing with finite-width pulses and the role of shifting the kick
• Bifurcation and Chaos in Coupled Periodically Forced Non-identical Duffing Oscillators
• Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors
• Chaos in an intermittently driven damped oscillator
• The kicked rotor: Computer-based studies of chaotic dynamics