Dynamics of Periodically-kicked Oscillators
Kevin K. Lin, Lai-Sang Young
TL;DR
This paper reviews recent advances in understanding how periodically-kicked oscillators can produce chaotic behavior, emphasizing geometric mechanisms demonstrated through a simple linear shear model.
Contribution
It introduces a general geometric framework for chaos in periodically-kicked oscillators, illustrated with a simple linear shear model, advancing theoretical understanding.
Findings
Chaotic behavior can be generated through geometric mechanisms in kicked oscillators.
The linear shear model effectively illustrates the key geometric ideas.
The review consolidates recent results on chaos induction in these systems.
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.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Chaos control and synchronization · Nonlinear Dynamics and Pattern Formation