A remark about Sil'nikov saddle-focus homoclinic orbits

Author:

Battelli Flaviano,Palmer Ken

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis

Reference12 articles.

1. The numerical computation of connecting orbits in dynamical systems,;W.-J. Beyn;IMA J. Numer. Anal.,1990

2. "Dichotomies in Stability Theory,";W. A. Coppel;Lecture Notes in Math.,1978

3. On Sil'nikov's homoclinic-saddle-focus theorem,;B. Deng;J. Diff. Equations,1993

4. "Elements of Applied Bifurcation Theory" 3rd Ed.,;Y. A. Kuznetsov;Springer,2004

5. Exponential dichotomies and transversal homoclinic points,;K. J. Palmer;J. Diff. Equations,1984

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1. Shilnikov Saddle-Focus Homoclinic Orbits from Numerics: Higher Dimensions;Journal of Dynamics and Differential Equations;2021-01-25

2. Bifurcations of Double Homoclinic Loops in Reversible Systems;International Journal of Bifurcation and Chaos;2020-12-28

3. An example of Silnikov focus–focus homoclinic orbits;Nonlinear Analysis;2020-12

4. Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium;International Journal of Bifurcation and Chaos;2018-01

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