Double pendulum and \(\theta\)-divisor

DOI10.1007/s00332-002-0514-0zbMath1021.37039OpenAlexW1969449134MaRDI QIDQ1402397

M. Pronine, Viktor Z.Enol'skij, Peter H. Richter

Publication date: 27 August 2003

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-002-0514-0

zbMATH Keywords

reductionintegrable systemsequations of motionJacobi inversion problemhyperelliptic Riemann surfaces\(\theta\)-functionKleinian \(\sigma\)-functionsplanar double pendulum

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

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