Bifurcation of degenerate homoclinic orbits in reversible and conservative systems-Reference-Cited by-同舟云学术

Bifurcation of degenerate homoclinic orbits in reversible and conservative systems

Published:1997-07 Issue:3 Volume:9 Page:427-444
ISSN:1040-7294
Container-title:Journal of Dynamics and Differential Equations
language:en
Short-container-title:J Dyn Diff Equat

Author:

Knobloch J.

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF02227489.pdf

Reference6 articles.

1. Buffoni, B., Champneys, A. R., and Toland, J. F. (1996). Bifurcation and coalescence of plethora of homoclinic orbits for a Hamiltonian system.J. Dyn. Stab. Sys. 8, 221–281.

2. Devaney, R. (1976). Homoclinic orbits in Hamiltonian systems.J. Diff. Eqs. 21, 431–438.

3. Devaney, R. (1977) Blue sky catastrophes in reversible and Hamiltonian systems.Ind. Univ. Math. J. 26, 247–263.

4. Lin, X.-B. (1990). Using Melnikovs method to solve Shilnikov's problems.Proc. Roy. Soc. Edinburgh 116A, 295–325.

5. Vanderbauwhede, A. (1992). Bifurcation of degenerate homoclinics.Results Math. 21, 211–223.

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