High-dimensional interior crisis in the Kuramoto-Sivashinsky equation.
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.
Chian
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AC
World Institute for Space Environment Research-WISER, NITP, Adelaide University, SA 5005, Australia.
Rempel
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EL
Macau
E E
EE
Rosa
R R
RR
Christiansen
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F