Problems in homoclinic bifurcation with higher dimensions
Copyright policy )Problems in homoclinic bifurcation with higher dimensions
Summary: A suitable local coordinate system is constructed by using exponential dichotomies and generalizing the Floquet method from periodic systems to nonperiodic systems. Then the Poincaré map is established to solve various problems in homoclinic bifurcation with codimension one or two. Bifurcation diagrams and bifurcation curves are given.
- East China Normal University China (People's Republic of)
exponential dichotomy, homoclinic bifurcation, Bifurcations of limit cycles and periodic orbits in dynamical systems, local coordinates, periodic orbit, Bifurcations connected with nontransversal intersection in dynamical systems
exponential dichotomy, homoclinic bifurcation, Bifurcations of limit cycles and periodic orbits in dynamical systems, local coordinates, periodic orbit, Bifurcations connected with nontransversal intersection in dynamical systems
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