Abstract
In this paper, we study a class of Hamiltonian system with 2 degrees of freedom. We show that at any energy level above a certain critical value of each system, there are ray and heteroclinic solutions between any two periodic neighboring minimal solutions with any prescribed non-trivial homotopy class. Our proof is based on an elementary variational method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
