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math.DS2016
Heteroclinic Cycles in Systems with Symmetry, Revisited
Adrian C. Murza
We analyze the generating mechanisms for heteroclinic cycles in --equivariant ODEs, not involving Hopf bifurcations. Such cycles h…
math.DS2014
Hopf bifurcation and heteroclinic cycles in a class of equivariant systems
Adrian C. Murza
In this paper we analyze a generic dynamical system with constructed via a Cayley graph. We study the Hopf bifurcation and find conditions for obtaining a unique bra…