Abstract
Some chaotic maps have critical parameter values pc above which the strange attractor becomes unstable. At slightly supercitical values the semi-attractor is characterized by an escape rate which goes approximately as a power (p - pc)γ. For one-dimensional maps the exponent γ is a function only of the order of the critical point and thus universal for large classes of maps. In higher dimensions the universality breaks down: γ varies continuously with the parameters. However, if we study the escape rate more carefully as a function of p - pc, and find a characteristic step structure - although the average slope of the log-log plots are non-universal, each interval between steps has a universal slope.
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.
