NUMERICAL STUDY OF SECONDARY HETEROCLINIC BIFURCATIONS NEAR NON-REVERSIBLE HOMOCLINIC SNAKING

作者：Riess Thorsten^*

来源：Discrete and Continuous Dynamical Systems, 2011, 31: 1244-1253.

• Heteroclinic bifurcations
• homoclinic snaking

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.

• 出版日期2011-9