Infinitesimal symmetry transformations. II. Some one-dimensional nonlinear systems

DOI10.1063/1.526595zbMath0613.34029OpenAlexW2034445359MaRDI QIDQ3754313

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Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526595

zbMATH Keywords

second order differential equationsexamplesVan der Pol oscillatorinfinitesimal symmetry transformations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34)

Related Items

SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. III. Equivalent Lagrangian formalisms, SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems, Symmetries of linear systems of second-order ordinary differential equations, THE LIE ALGEBRA sl(3, R) AND LINEARIZATION

Cites Work

• A general equation for relaxation oscillations
• Infinitesimal symmetry transformations of some one-dimensional linear systems
• The Lie group of Newton's and Lagrange's equations for the harmonic oscillator
• Hamiltonian structure, symmetries and conservation laws for water waves