Bifurcation of degenerate homoclinic orbits in reversible and conservative systems

Journal of Dynamics and Differential Equations

Volumn 9, Issue 3, 1997, Pages 427-444

  Knobloch, J ^a  

^a ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Bifurcation; Conservative systems; Degenerate homoclinic orbits; Reversible systems

Indexed keywords

EID: 53249125920     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1007/BF02227489     Document Type: Article

References (6)

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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.
6. Vanderbauwhede, A., and Fiedler, B. (1992). Homoclinic period blow-up in reversible and conservative systems. ZAMP 43, 291-318.