Abstract
The final chapter of this book deals with three topics. In the first part, we study thoroughly the Melnikov function: its computation and structure. We also investigate an inverse problem: the construction of ODEs by prescribed homoclinic solutions. In the second part, as a by product of our investigation, is presented a result of the existence of a transversal homoclinic solution near a transversal homoclinic cycle. We end up with the third part devoted to blue sky catastrophes of periodic solutions.
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© 2011 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Fečkan, M. (2011). Concluding Related Topics. In: Bifurcation and Chaos in Discontinuous and Continuous Systems. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18269-3_7
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DOI: https://doi.org/10.1007/978-3-642-18269-3_7
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