The transition from regular to irregular motions, explained as travel on Riemann surfaces

Francesco Calogero, David Gomez-Ullate, Paolo Santini, Matteo Sommacal

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a three-body problem in the (complex) plane and providing the prototype of a mechanism explaining the transition from regular to irregular motions as travel on Riemann surfaces. The interest of this phenomenology—illustrating the onset in a deterministic context of irregular motions—is underlined by its generality, suggesting its eventual relevance to understand natural phenomena and experimental investigations. Here only some of our main findings are reported, without detailing their proofs: a more complete presentation will be published elsewhere.
Original languageEnglish
Pages (from-to)8873-8896
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number41
DOIs
Publication statusPublished - 2005

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