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Physical Review Letters
Volumn 67, Issue 8, 1991, Pages 945-948
Pseudoperiodic driving: Eliminating multiple domains of attraction using chaos
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0008089806     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.67.945     Document Type: Article
Times cited : (60)
References (22)
  • 1
    • 84927426985 scopus 로고    scopus 로고
    • This type of behavior was well known long before chaotic behavior. See A. A. Andronow and S. E. Chaikin, in Theory of Oscillations (Princeton Univ. Press, Princeton, NJ, 1949), for early examples, and later C. Hayashi, in Nonlinear Oscillations in Physical Systems (Princeton Univ. Press, Princeton, NJ, 1964), and references therein.
  • 11
    • 84927426982 scopus 로고    scopus 로고
    • The systems were integrated using a Runge-Kutta 4-5 method. The Lyapunov exponents were calculated according to Ref. [10]. The domains of attraction for the pseudoperiodically driven systems were calculated by integrating two initial conditions forward in time. One was started at a point known to converge to a particular attractor; the other was started at an arbitrary point in phase space. Convergence of the latter to the particular attractor was accepted when both trajectories remained within 2%-5% of each other for more than 60 cosine cycles. Tests for convergence with over 5000 cycles were also done to insure stability.

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