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2011, 2011(Special): 1244-1253. doi: 10.3934/proc.2011.2011.1244

Numerical study of secondary heteroclinic bifurcations near non-reversible homoclinic snaking

Thorsten Riess 1,

1. 

Universität Konstanz, INCIDE, Fach 698, 78457 Konstanz, Germany

Received  July 2010 Revised  February 2011 Published  October 2011

We discuss the emergence of isolas of secondary heteroclinic bifurcations near a non-reversible homoclinic snaking curve in parameter space that is generated by a codimension-one equilibrium-to-periodic (EtoP) heteroclinic cycle. We use a numerical method based on Lin's method to compute and continue these secondary heteroclinic EtoP orbits for a well-known system.
Keywords: Heteroclinic bifurcations, homoclinic snaking.
Mathematics Subject Classification: Primary: 34C37, 37M20; Secondary: 65L10.
Citation: Thorsten Riess. Numerical study of secondary heteroclinic bifurcations near non-reversible homoclinic snaking. Conference Publications, 2011, 2011 (Special) : 1244-1253. doi: 10.3934/proc.2011.2011.1244
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