Rigorous numerical approach to isolation in dynamical systems on the example of the Kuramoto-Sivashinsky equation

DOI10.1023/A:1009945220181zbMath0942.65145MaRDI QIDQ1809078

Marcin Żelawski

Publication date: 3 August 2000

Published in: Reliable Computing (Search for Journal in Brave)

zbMATH Keywords

Kuramoto-Sivashinsky equationRunge-Kutta methodConley indexheteroclinic connectionisolating neighborhood

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Index theory for dynamical systems, Morse-Conley indices (37B30) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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