An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems

We develop an efficient Eulerian numerical approach to extract invariant sets in a continuous dynamical system in the extended phase space (the x–t space). We extend the idea of ergodic partition and propose a concept called coherent ergodic partition for visualizing ergodic components in a continuo...

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Veröffentlicht in:	Journal of computational physics 2014-05, Vol.264, p.112-132
Hauptverfasser:	You, Guoqiao, Leung, Shingyu
Format:	Artikel
Sprache:	eng
Schlagworte:	Coherence Computation Dynamical systems Ergodic processes Ergodic theory Flow visualization Level set method Mathematical models Numerical methods for PDEs Particle trajectories Partitions Wave propagation
Online-Zugang:	Volltext
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