Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-11-18
Physics
Condensed Matter
Statistical Mechanics
Read at SigmaPhi2008. Submitted to J. Stat. Mech
Scientific paper
10.1088/1742-5468/2009/02/P02043
A method for exploring unstable structures generated by nonlinear dynamical systems is introduced. It is based on the sampling of initial conditions and parameters by Replica Exchange Monte Carlo (REM), and efficient both for the search of rare initial conditions and for the combined search of rare initial conditions and parameters. Examples discussed here include the sampling of unstable periodic orbits in chaos and search for the stable manifold of unstable fixed points, as well as construction of the global bifurcation diagram of a map.
Iba Yukito
Yanagita Tatsuo
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