2006•Unpublished venueRequires access
Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues
Zhang De
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Abstract
Codimension-3 bifurcations of an orbit-flip homoclinic orbit with resonant principal eigen- values are studied for a four-dimensional system.The existence,number,co-existence and non- coexistence of 1-homoclinic orbit,1-periodic orbit,2n-homoclinic orbit and 2n-periodic orbit are ob- tained.The bifurcation surfaces and existence regions are also given.