Bifurcation of stationary and heteroclinic orbits for parametrized gradient-like flows

 Access to full text

 Full (PDF)

1. [Ba1] T. Bartsch, On the genus of representation spheres, Comment. Math. Helv. 65 (1990), 85-95. Zbl0704.57024
2. [Ba2] T. Bartsch, Topological Methods for Variational Problems with Symmetries, Lecture Notes in Math. 1560, Springer, Berlin Heidelberg 1993. 
3. [Ba3] T. Bartsch, A generalization of the Weinstein-Moser theorems on periodic orbits of a Hamiltonian system near an equilibrium, preprint, Heidelberg 1994. 
4. [Ba4] T. Bartsch, Bifurcation theorey for nonlinear eigenvalue problems, in preparation. 
5. [BaC] T. Bartsch and M. Clapp, Bifurcation theory for symmetric potential operators and the equivariant cup-length, Math. Z. 204 (1990), 341-356. Zbl0682.58037
6. [Be] V. Benci, A geometrical index for the group $S^1$ and some applications to the study of periodic solutions of ordinary differential equations, Commun. Pure Appl. Math. 34 (1981), 393-432. Zbl0447.34040
7. [Bö] R. Böhme, Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme, Math. Z. 127 (1972), 105-126. Zbl0254.47082
8. [CaS] S. E. Capell and J. L. Shaneson, Nonlinear similarity, Ann. of Math. 113 (1981), 315-355. 
9. [Co] C. Conley, Isolated Invariant Sets and the Morse Index, CBMS, Regional Conf. Ser. in Math. 38, AMS Providence, R.I., 1978. 
10. [CZ] C. Conley and E. Zehnder, Morse type index theory for flows and periodic solutions for Hamiltonian systems, Comm. Pure Appl. Math. 37 (1984), 207-253. Zbl0559.58019
11. [tD] T. tom Dieck, Transformation Groups, de Gruyter, Berlin 1987. 
12. [D] A. Dold, Lectures on Algebraic Topology, Grundlehren der math. Wiss. 200, Springer, Berlin Heidelberg 1980. 
13. [FR1] E. Fadell and P. H. Rabinowitz, Bifurcation for odd potential operators and an alternative topological index, J. Funct. Anal. 26 (1977), 48-67. Zbl0363.47029
14. [FR2] E. Fadell and P. H. Rabinowitz, Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems, Inv. Math. 45 (1978), 139-174. Zbl0403.57001
15. [K] M. A. Krasnoselski, On special coverings of a finite-dimensional sphere, Dokl. Akad. Nauk SSSR 103 (1955), 966-969 (in Russian). 
16. [Ma] A. Marino, La biforcazione nel caso variationale, Confer. Sem. Mat. Univ. Bari 132 (1977). 
17. [MW] J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Springer, New York 1989. 
18. [R1] P. H. Rabinowitz, A bifurcation theorem for potential operators, J. Funct. Anal. 25 (1977), 412-424. Zbl0369.47038
19. [R2] P. H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, CBMS, Regional Conf. Ser. in Math. 65, AMS, Providence, R.I., 1986. 
20. [Sa] D. Salamon, Connected simple systems and the Conley index of isolated invariant sets, Trans. Amer. Math. Soc. 291 (1985), 1-41. Zbl0573.58020
21. [Sp] E. Spanier, Algebraic Topology, McGraw-Hill, New York 1966. 
22. [Y] C. T. Yang, On the theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujòbô and Dyson, Ann. Math. 60 (1954), 262-282. Zbl0057.39104