Abstract
A method of Rajaraman for solving coupled non-linear equations is applied to a generalized Hénon-Heiles model. In the new context of a dynamic system which is non-integrable in general, the method yields critical values of the parameters specifying the potential for which the system becomes solvable in accordance with values provided by the “Painlevé singularity test” and Ziglin's theorem for determining integrability. Further constraints culminate in special periodic orbits for critical couplings.
Sign-in/Register to access full text options 
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.
