Understanding complex dynamics by means of an associated Riemann surface

DOI10.1016/j.physd.2012.04.004zbMath1280.37052arXiv1104.2205OpenAlexW2086232676MaRDI QIDQ453121

Francesco Calogero, Paolo Maria Santíni, Matteo Sommacal, Daivd Gómez-Ullate

Publication date: 18 September 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2205

zbMATH Keywords

Riemann surfacesdynamical systemsintegrable systemsisochronous systems

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (3)

Novel isochronous N-body problems featuring N arbitrary rational coupling constants ⋮ A convenient expression of the time-derivative zn(k)(t) , of arbitrary order k, of the zero z _n (t) of a time-dependent polynomial p _N (z;t) of arbitrary degree N in z, and solvable dynamical systems ⋮ A Solvable N-body Problem of Goldfish Type Featuring N² Arbitrary Coupling Constants

Uses Software

• PainleveTest

Cites Work

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