Abstract
Chapter 8 considers bifurcation of limit cycles near a homoclinic or heteroclinic loop. The method of computing the Melnikov functions near a homoclinic or heteroclinic loop is developed and explicit formulae for the coefficients in the expansion of the Melnikov function are derived. Double homoclinic loop is also studied in this chapter.
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Han, M., Yu, P. (2012). Limit Cycles Near a Homoclinic or Heteroclinic Loop. In: Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles. Applied Mathematical Sciences, vol 181. Springer, London. https://doi.org/10.1007/978-1-4471-2918-9_8
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DOI: https://doi.org/10.1007/978-1-4471-2918-9_8
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2917-2
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