In this chapter we will study global bifurcations corresponding to the appearance of homoclinic or heteroclinic orbits connecting hyperbolic equilibria in continuous-time dynamical systems. We will consider in detail two- and three-dimensional cases for two reasons: first, because in these cases geometrical intuition can be fully exploited, and second, because all the main results can be generalized to higher dimensions.
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- Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria
Yuri A. Kuznetsov
- Springer New York
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