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nlin.CD2011★ 18 cited
Understanding complex dynamics by means of an associated Riemann surface
David Gomez-Ullate, Paolo Santini, Matteo Sommacal +1
We provide an example of how the complex dynamics of a recently introduced model can be understood via a detailed analysis of its associated Riemann surface. Thanks to this geometr…
nlin.CD2006★ 24 cited
Dynamical systems on infinitely sheeted Riemann surfaces
Yuri N. Fedorov, David Gomez-Ullate
This paper is part of a program that aims to understand the connection between the emergence of chaotic behaviour in dynamical systems in relation with the multi-valuedness of the…