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Chian AC, Rempel EL, Macau EE, et al. High-dimensional interior crisis in the Kuramoto-Sivashinsky equation. Phys Rev E Stat Nonlin Soft Matter Phys. 2002;65(3):035203doi: 10.1103/PhysRevE.65.035203.
Chian, A. C., Rempel, E. L., Macau, E. E., Rosa, R. R., & Christiansen, F. (2002). High-dimensional interior crisis in the Kuramoto-Sivashinsky equation. Physical review. E, Statistical, nonlinear, and soft matter physics, 65(3), 035203. https://doi.org/10.1103/PhysRevE.65.035203
Chian, A C-L, et al. "High-dimensional interior crisis in the Kuramoto-Sivashinsky equation." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 65,3 (2002): 035203. doi: https://doi.org/10.1103/PhysRevE.65.035203
Chian AC, Rempel EL, Macau EE, Rosa RR, Christiansen F. High-dimensional interior crisis in the Kuramoto-Sivashinsky equation. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3):035203. doi: 10.1103/PhysRevE.65.035203. Epub 2002 Feb 13. PMID: 11909146.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3):035203. doi: 10.1103/PhysRevE.65.035203. Epub 2002 Feb 13.

High-dimensional interior crisis in the Kuramoto-Sivashinsky equation.

Physical review. E, Statistical, nonlinear, and soft matter physics

A C-L Chian, E L Rempel, E E Macau, R R Rosa, F Christiansen

Affiliations

  1. World Institute for Space Environment Research-WISER, NITP, Adelaide University, SA 5005, Australia.

PMID: 11909146 DOI: 10.1103/PhysRevE.65.035203

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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