Invariant Spectra in N -Coupled Standard Maps

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Abstract

This paper examines the evolution of the dynamical spectra of stretching numbers in a system of N-coupled Standard Maps. It is found that the convergence rate of the spectra to their invariant forms is independent of the dimensionality 2N and the nonlinearity/coupling parameters. This rate is impressively faster than one could predict on the basis of ergodicity. This effect is probably associated with the manifold of the maximum Lyapunov exponent along which the main stretching occurs. It seems that dynamical spectra depend mainly on the dramatically smaller subspace defined by this unstable manifold.

Original languageEnglish (US)
Article number1650084
JournalInternational Journal of Bifurcation and Chaos
Volume26
Issue number5
DOIs
StatePublished - May 1 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

Keywords

  • DSSN
  • dynamical spectra
  • N -coupled standard maps
  • stretching numbers

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