PMID: 11909146Mar 23, 2002Paper

High-dimensional interior crisis in the Kuramoto-Sivashinsky equation

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Abraham C-L ChianF Christiansen

Abstract

An investigation of interior crisis of high dimensions in an extended spatiotemporal system exemplified by the Kuramoto-Sivashinsky equation is reported. It is shown that unstable periodic orbits and their associated invariant manifolds in the Poincaré hyperplane can effectively characterize the global bifurcation dynamics of high-dimensional systems.

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Citations

Apr 8, 2010·Chaos·Yasuaki MoritaTsuyoshi Mizuguchi
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Erico L Rempel, Abraham C-L Chian
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Erico L RempelRodrigo A Miranda
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kaifen He, Abraham C-L Chian
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Miki U Kobayashi, Yoshitaka Saiki
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D KogaE L Rempel

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