Dynamical Regimes and Time Scales

  • Juan C. Vallejo
  • Miguel A. F. Sanjuan
Part of the Springer Series in Synergetics book series (SSSYN)


The key factor to build the finite-time distributions is finding the most adequate interval length, to be large enough to ensure a satisfactory reduction of the local fluctuations, but small enough to reveal slow trends. This length is different for every orbit. There are different time scales to take into account in every model, including transient behaviours that could be of interest. By a proper selection of the total integration time, we can characterise the dynamics using small finite-time interval lengths. But increasing those lengths, we see how the distributions stop tracing the flow at local scales and begin to describe the flow at global scales, that is, the global regime.


Lyapunov Exponent Unstable Manifold Deviation Vector Chaotic Orbit Unstable Periodic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Juan C. Vallejo
    • 1
  • Miguel A. F. Sanjuan
    • 1
  1. 1.Department of PhysicsUniversidad Rey Juan CarlosMóstoles, MadridSpain

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