Abstract
Global bifurcations in dynamical systems often occur from homoclinic or heteroclinic orbits. The best known effect is the termi-nation of a branch of periodic orbits at a homoclinic orbit. In this paper we extend our numerical approach to connecting orbits and the error analysis developed in [1]. The basic nondegeneracy condition is characterized by a geometric transversality condition. Further, the analysis of the error obtained by truncating to a finite interval is generalized in order to include periodic boundary conditions and to explain the superconvergence phenomenon with respect to the parameter as observed in [1].
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© 1990 Kluwer Academic Publishers
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Beyn, WJ. (1990). Global Bifurcations and their Numerical Computation. In: Roose, D., Dier, B.D., Spence, A. (eds) Continuation and Bifurcations: Numerical Techniques and Applications. NATO ASI Series, vol 313. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0659-4_11
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DOI: https://doi.org/10.1007/978-94-009-0659-4_11
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