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Volumn 63, Issue 4 II, 2001, Pages 462031-462036

Periodic orbits and topological entropy of delayed maps

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DEGREES OF FREEDOM (MECHANICS); ENTROPY; HEURISTIC METHODS; LYAPUNOV METHODS;

EID: 0035304290     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (22)
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    • D. Auerbach, P. Cvitanović, J. P. Eckmann, G. Gunaratne, and I. Procaccia, Phys. Rev. Lett. 58, 2387 (1987). P. Cvitanović, ibid. 61, 2729 (1988); R. Artuso, E. Aurell, and P. Cvitanović, Nonlinearity 3, 325 (1991).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2729
    • Cvitanović, P.1
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    • D. Auerbach, P. Cvitanović, J. P. Eckmann, G. Gunaratne, and I. Procaccia, Phys. Rev. Lett. 58, 2387 (1987). P. Cvitanović, ibid. 61, 2729 (1988); R. Artuso, E. Aurell, and P. Cvitanović, Nonlinearity 3, 325 (1991).
    • (1991) Nonlinearity , vol.3 , pp. 325
    • Artuso, R.1    Aurell, E.2    Cvitanović, P.3
  • 18
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    • note
    • The equations that determine a periodic orbit of Eq. (1) with period θ can be written decomposing the orbit γ(t) in a Fourier series. The orbit must satisfy γ(t) = F(γ(t), γ(t - τ)). But from the Fourier series we have γ(t - τ) = γ(t - τ - nθ) and the equations of the orbit are invariant under the transformation τ → τ + nθ.


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