Abstract
We study the motion of a particle in an infinite square well potential in the presence of a monochromatic external field. The equations of motion of this system have a particularly simple structure compared to other driven nonlinear systems, and yet the system exhibits a transition to chaotic behavior. The critical amplitudes of the external field where ‘breakdown’ of KAM invariants occurs and large scale chaos sets in are computed by numerical experiment. They are found to be in good agreement with predictions based on a renormalization group scheme.
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.
