Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof
Copyright policy )Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof
The author presents a new method for detecting symmetric homoclinic and heteroclinic solutions in systems possessing the reversing symmetry property. The approach is based on the modification of Zgliczyński's covering relations method. It should be emphasized that this new method can be applied also to the case of heteroclinic orbits between objects of different dimensions as stationary points and periodic orbits. Applications to the Kuramoto-Sivashinsky system are given.
- Jagiellonian University Poland
Dynamical systems in numerical analysis, symmetric homoclinic orbits, symmetric solutions, rigorous numerical analysis, differential equations, Homoclinic and heteroclinic solutions to ordinary differential equations, Symmetries, invariants of ordinary differential equations
Dynamical systems in numerical analysis, symmetric homoclinic orbits, symmetric solutions, rigorous numerical analysis, differential equations, Homoclinic and heteroclinic solutions to ordinary differential equations, Symmetries, invariants of ordinary differential equations
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