Integrability and Jacobi last multipliers of cubic Liénard differential equations with quadratic damping

DOI10.5890/DNC.2020.12.002zbMath1492.37060MaRDI QIDQ5087617

Maria V. Demina

Publication date: 1 July 2022

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

zbMATH Keywords

Liouvillian integrabilityLiénard differential equations

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (1)

Integrability and solvability of polynomial Liénard differential systems

Cites Work

• Invariant algebraic curves for Liénard dynamical systems revisited
• Hypergeometric first integrals of the Duffing and van der Pol oscillators
• Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems
• Liouvillian First Integrals of Differential Equations
• Invariant algebraic curves and conditions for a centre
• Invariant surfaces and Darboux integrability for non-autonomous dynamical systems in the plane
• Liouvillian integrability of a general Rayleigh-Duffing oscillator
• An Old Method of Jacobi to Find Lagrangians
• Lagrangians For Equations of Painlevé Type by Means of The Jacobi Last Multiplier

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