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Dynamics of periodically kicked oscillators

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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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Authors and Affiliations

  1. Department of Mathematics and Program in Applied Mathematics, University of Arizona, Tucson, AZ, 85721, USA

    Kevin K. Lin

  2. Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012, USA

    Lai-Sang Young

Authors
  1. Kevin K. Lin
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  2. Lai-Sang Young
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Corresponding author

Correspondence to Kevin K. Lin.

Additional information

To Steve Smale on the occasion of his 80th birthday

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Lin, K.K., Young, LS. Dynamics of periodically kicked oscillators. J. Fixed Point Theory Appl. 7, 291–312 (2010). https://doi.org/10.1007/s11784-010-0025-9

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  • DOI: https://doi.org/10.1007/s11784-010-0025-9

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