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

Thorsten Rieß | Zendy

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

Author(s) -

Thorsten Rieß

Publication year - 2011

Publication title -

conference publications

Language(s) - English

Resource type - Book series

DOI - 10.3934/proc.2011.2011.1244

Subject(s) - homoclinic orbit , heteroclinic cycle , heteroclinic bifurcation , heteroclinic orbit , codimension , homoclinic bifurcation , periodic orbits , mathematics , bifurcation , mathematical analysis , physics , bifurcation theory , nonlinear system , quantum mechanics

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.

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