Abstract
A model of nonlinear oscillations is developed. The model decouples at once and nonlinear normal modes result. The solutions describe nonisochronous motion on invariant tori in phase space. Among the orbits there is a dense set on which the normal frequencies are in resonance. This oscillating system serves to illustrate many of the ideas of nonlinear dynamics, particularly the concept of integrability. The integrable system also provides the point of departure for an exploration of Hamiltonian chaos.
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.
