English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We consider the classical response of a strongly chaotic Hamiltonian system.The spectrum of such a system consists of discrete complex Ruelle-Pollicott(RP) resonances which manifest themselves in the behavior of the correlationand response functions. We interpret the RP resonances as the eigenstates andeigenvalues of the Fokker-Planck operator obtained by adding an infinitesimalnoise term to the first-order Liouville operator. We demonstrate how thedeterministic expression for the linear response is reproduced in the limit ofvanishing noise. For the second-order response we establish an equivalence ofthe spectral decomposition with infinitesimal noise and the long-timeasymptotic expansion for the deterministic case.Comment: 16 pages, 1 figur

Classical nonlinear response of a chaotic system. II. Langevin dynamics and spectral decomposition