From synchronization to Lyapunov exponents and back

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Submitted to Physica D

Scientific paper

10.1016/j.physd.2006.09.032

The goal of this paper is twofold. In the first part we discuss a general approach to determine Lyapunov exponents from ensemble- rather than time-averages. The approach passes through the identification of locally stable and unstable manifolds (the Lyapunov vectors), thereby revealing an analogy with generalized synchronization. The method is then applied to a periodically forced chaotic oscillator to show that the modulus of the Lyapunov exponent associated to the phase dynamics increases quadratically with the coupling strength and it is therefore different from zero already below the onset of phase-synchronization. The analytical calculations are carried out for a model, the generalized special flow, that we construct as a simplified version of the periodically forced Rossler oscillator.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

From synchronization to Lyapunov exponents and back does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From synchronization to Lyapunov exponents and back, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From synchronization to Lyapunov exponents and back will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-307539

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.