Abstract
We discuss in this chapter the scaling invariance for chaotic orbits near a transition from unlimited to limited diffusion in a dissipative standard mapping, which is explained via the analytical solution of the diffusion equation. It gives the probability of observing a particle with a specific action at a given time. The momenta of the probability are determined and the behavior of the average squared action is obtained. The limits of small and large time recover the results known in the literature from the phenomenological approach while a scaling for intermediate time is obtained as dependent on the initial action.
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.
