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

Calogero, Francesco, Gomez-Ullate, David, Santini, Paolo and Sommacal, Matteo (2005) The transition from regular to irregular motions, explained as travel on Riemann surfaces. Journal of Physics A: Mathematical and General, 38 (41). pp. 8873-8896. ISSN 0305-4470

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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.

Item Type:	Article
Subjects:	F300 Physics G100 Mathematics
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Related URLs:	Publisher
Depositing User:	Matteo Sommacal
Date Deposited:	09 May 2012 14:18
Last Modified:	13 Oct 2019 00:22
URI:	http://nrl.northumbria.ac.uk/id/eprint/6881

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