Abstract
In the parameter space, curves of (classical) Poincaré–Andronov–Hopf bifurcations, saddle-node bifurcations and homoclinic orbits emerge.In this chapter, we discuss the intricate patterns of heteroclinic orbits which appear near the corresponding bifurcation without parameters.
Keywords
- Unstable Manifold
- Homoclinic Orbit
- Heteroclinic Orbit
- Horizontal Boundary
- Melnikov Function
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Liebscher, S. (2015). Bogdanov-Takens Bifurcation. In: Bifurcation without Parameters. Lecture Notes in Mathematics, vol 2117. Springer, Cham. https://doi.org/10.1007/978-3-319-10777-6_10
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DOI: https://doi.org/10.1007/978-3-319-10777-6_10
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Online ISBN: 978-3-319-10777-6
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