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Anomalous deterministic transport.

Roberto Artuso1, Giampaolo Cristadoro

  • 1Center for Nonlinear and Complex Systems, Dipartimento di Fisica e Matematica, Università degli Studi dell'Insubria, Via Valleggio 11, I-22100 Como, Italy.

Chaos (Woodbury, N.Y.)
|April 20, 2005
PubMed
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This study explores deterministic transport in chaotic systems using periodic orbit theory. Anomalies in moment growth were observed in intermittent systems deviating from full chaos.

Area of Science:

  • Physics
  • Dynamical Systems
  • Chaos Theory

Background:

  • Deterministic transport in chaotic systems is a complex phenomenon.
  • Periodic orbits theory provides a framework for analyzing such systems.
  • Intermittent systems exhibit deviations from complete chaos.

Purpose of the Study:

  • To present results on deterministic transport in chaotic systems.
  • To investigate the role of periodic orbits theory.
  • To analyze anomalies in moment growth in intermittent systems.

Main Methods:

  • Utilizing the framework of periodic orbits theory.
  • Analyzing deterministic transport phenomena.
  • Focusing on intermittent systems and their deviations from chaos.

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Main Results:

  • Demonstrated results on deterministic transport within chaotic systems.
  • Highlighted the influence of periodic orbits theory.
  • Observed anomalies in asymptotic moments' growth due to deviations from complete chaos in intermittent systems.

Conclusions:

  • Periodic orbits theory is a valuable tool for understanding deterministic transport.
  • Deviations from complete chaos in intermittent systems lead to observable anomalies.
  • Further research into intermittent systems can reveal unique transport properties.