The European Physical Journal Special Topics

, Volume 191, Issue 1, pp 15–27 | Cite as

Dynamics between order and chaos revisited

  • E.J. NgamgaEmail author
  • D.V. SenthilkumarEmail author
  • J. KurthsEmail author
Regular article


We show that dynamics between order and chaos, namely strange nonchaotic dynamics can be efficiently studied by means of recurrence properties. Different transitions to this dynamics in coupled Rössler oscillators are revealed by some measures of complexity based on the recurrence time, which is the time needed for a system to recur to a former visited neighborhood. Furthermore, regions of the parameter space where the system is in non-phase, imperfect-phase or phase synchronization are depicted by means of recurrence based indices such as the generalized autocorrelation function and the correlation of probability of recurrence.


European Physical Journal Special Topic Chaotic Attractor Phase Synchronization Large Lyapunov Exponent Generalize Synchronization 
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

© EDP Sciences and Springer 2011

Authors and Affiliations

  1. 1.Potsdam Institute for Climate Impact ResearchPotsdamGermany
  2. 2.Centre for Dynamics of Complex Systems, University of PotsdamPotsdamGermany
  3. 3.Institute of Physics, Humboldt University BerlinBerlinGermany

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