Chaos in a Nonlinear Driven Oscillator with Exact Solution
- 21 March 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 50 (12), 870-872
- https://doi.org/10.1103/physrevlett.50.870
Abstract
A nonlinear oscillator externally driven by an impulsive periodic force is investigated. An exact analytical expression is obtained for the stoboscopic or Poincaré map for all values of parameters. The model displays period-doubling sequences and chaotic behavior. The convergence rate of these cascades is in very good agreement with Feingenbaum theory.Keywords
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