Abstract
A geometric criterion for the existence of chaotic trajectories of a reversible Hamiltonian system with the configuration space T×N, with N a compact manifold, is given. The main result is a variational version of the theorem of D. V. Turayev and L. P. Shilnikov (Dokl. Akad. Nauk SSSR 304, 1989, 811-814) on the symbolic representation of trajectories of Hamiltonian systems possessing several homoclinics to a saddle equilibrium. © 1998 Academic Press.
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CITATION STYLE
Bolotin, S. V., & Rabinowitz, P. H. (1998). A variational construction of chaotic trajectories for a reversible hamiltonian system. Journal of Differential Equations, 148(2), 364–387. https://doi.org/10.1006/jdeq.1998.3470
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