Power Spectral Analysis of an Intermittent Incommensurate Chaotic State : Complex Dynamics in Nonlinear Systems

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概要

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• The power spectra of various one-dimensional maps (piecewise-linear map, sine map, etc.・・・) are studied near the transition point to chaos from a quasiperiodic state. We observe the self-similar structure in all cases when the winding number is a periodic irrational number. The behaviour of some observables generated from these quasiperiodic/chaotic states is also studied, and different power laws appear depending on the map and the observable. Analytical expressions for the power spectra of the piecewise linear map and its observables are found.

• 理論物理学刊行会の論文
• 1990-03-28

著者

• Antoranz J.

  L. C. D. I., Departamento de Ftsica Fundamental UNED

• Antoranz J.

  Department De Fisica Fundamental U.n.e.d

• ANTORANZ J.C.

  Departamento de Fisica Fundamental, U.N.E.D.

関連論文

• Transition to Chaos via Type-II Intermittency in a Laser with Saturable Absorber Externally Excited : Condensed Matter and Statistical Physics
• Soft Transition between Type-I and -III Intermittencies in a Nonlinear Map
• Power Spectral Analysis of an Intermittent Incommensurate Chaotic State : Complex Dynamics in Nonlinear Systems

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