World Scientific
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×
Spring Sale: Get 35% off with a min. purchase of 2 titles. Use code SPRING35. Valid till 31st Mar 2025.

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
No Access

LINEAR RESPONSE OF TWO-DIMENSIONAL AREA-PRESERVING MAPS

    This work was supported by the Swiss National Science Foundation.

    https://doi.org/10.1142/9789814355872_0027Cited by:0 (Source: Crossref)
    Previous
    Next
    Abstract:

    The linear response of a completely chaotic map to a particularly chosen constant perturbation has been calculated analytically. In the infinite-time limit, it is compared with the full nonlinear response. All physically relevant observables relax to the asymptotic value, some of them after a single time step; one of the explicitly calculated observables shows exponential relaxation with a relaxation time related to the Lyapunov exponent of the unperturbed map.