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

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  • 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.
    Mathematics Subject Classification: Primary: 34C37, 37M20; Secondary: 65L10.


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