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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In many non-integrable open systems in physics and mathematics resonanceshave been found to be surprisingly ordered along curved lines in the complexplane. In this article we provide a unifying approach to these resonance chainsby generalizing dynamical zeta functions. By means of a detailed numericalstudy we show that these generalized zeta functions explain the mechanism thatcreates the chains of quantum resonance and classical Ruelle resonances for3-disk systems as well as geometric resonances on Schottky surfaces. We alsopresent a direct system-intrinsic definition of the continuous lines on whichthe resonances are strung together as a projection of an analytic variety.Additionally, this approach shows that the existence of resonance chains isdirectly related to a clustering of the classical length spectrum on multiplesof a base length. Finally, this link is used to construct new examples whereseveral different structures of resonance chains coexist.

Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum