Explosions: global bifurcations at heteroclinic tangencies
Copyright policy )Explosions: global bifurcations at heteroclinic tangencies
We investigate bifurcations in the chain recurrent set for a particular class of one-parameter families of diffeomorphisms in the plane. We give necessary and sufficient conditions for a discontinuous change in the chain recurrent set to occur at a point of heteroclinic tangency. These are also necessary and sufficient conditions for an \Omega-explosion to occur at that point.
- University of Maryland, College Park United States
- George Mason University United States
chain explosions, Infinite nonwandering sets arising in bifurcations of dynamical systems, global bifurcations, heteroclinic tangencies, Bifurcations of limit cycles and periodic orbits in dynamical systems, Homoclinic and heteroclinic orbits for dynamical systems, Bifurcations connected with nontransversal intersection in dynamical systems, Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
chain explosions, Infinite nonwandering sets arising in bifurcations of dynamical systems, global bifurcations, heteroclinic tangencies, Bifurcations of limit cycles and periodic orbits in dynamical systems, Homoclinic and heteroclinic orbits for dynamical systems, Bifurcations connected with nontransversal intersection in dynamical systems, Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
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