Painlevé analysis and integrable cases of coupled cubic oscillators in the plane.

DOI10.1016/S0960-0779(98)00241-0zbMath1121.37315MaRDI QIDQ1573968

Patricia Yanguas, Jesús F. Palacián

Publication date: 9 August 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Nonlinear dynamics in mechanics (70K99) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (2)

Integrable perturbations of the \(N\)-dimensional isotropic oscillator ⋮ Classical and quantum integrability of the three-dimensional generalized trapped ion Hamiltonian

Uses Software

• Mathematica
• SYMMGRP
• MACSYMA

Cites Work

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• Non-integrability of the fourth-order truncated Toda Hamiltonian
• Chaos in classical and quantum mechanics
• Symbolic software for soliton theory
• Investigating non-integrability and chaos in complex time
• About algebraic integrability and non-integrability of ordinary differential equations
• Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Nonlinear Physics: Integrability, Chaos and Beyond

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