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Ubiquity of metastable-to-stable crossover in weakly chaotic dynamical systems

Author

Listed:
  • Baldovin, Fulvio
  • Moyano, Luis G
  • Majtey, Ana P
  • Robledo, Alberto
  • Tsallis, Constantino

Abstract

We present a comparative study of several dynamical systems of increasing complexity, namely, the logistic map with additive noise, one, two and many globally coupled standard maps, and the Hamiltonian mean field model (i.e., the classical inertial infinitely ranged ferromagnetically coupled XY spin model). We emphasize the appearance, in all of these systems, of metastable states and their ultimate crossover to the equilibrium state. We comment on the underlying mechanisms responsible for these phenomena (weak chaos) and compare common characteristics. We point out that this ubiquitous behavior appears to be associated to the features of the nonextensive generalization of the Boltzmann–Gibbs statistical mechanics.

Suggested Citation

  • Baldovin, Fulvio & Moyano, Luis G & Majtey, Ana P & Robledo, Alberto & Tsallis, Constantino, 2004. "Ubiquity of metastable-to-stable crossover in weakly chaotic dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 205-218.
    • Handle: RePEc:eee:phsmap:v:340:y:2004:i:1:p:205-218
    DOI: 10.1016/j.physa.2004.04.009
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    Citations

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    Cited by:

    1. Borges, Ernesto P & Tirnakli, Ugur, 2004. "Two-dimensional dissipative maps at chaos threshold: sensitivity to initial conditions and relaxation dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 227-233.
    2. Antonopoulos, Ch. & Bountis, T. & Basios, V., 2011. "Quasi-stationary chaotic states in multi-dimensional Hamiltonian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3290-3307.

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