Ermakov systems, Noether's theorem and the Sarlet-Bahar method

DOI10.1007/BF00316679zbMath0441.70030OpenAlexW2048843466MaRDI QIDQ1143199

James L. Reid, John R. Ray

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00316679

zbMATH Keywords

Noether's theoremconstant of motionErmakov systemSarlet-Bahar method

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (3)

A nonlinear superposition rule for solutions of the Milne-Pinney equation ⋮ Projective lifts and generalized Ermakov and Bernoulli systems ⋮ Classification scheme for two-dimensional Ermakov-type systems and generalizations

Cites Work

• A direct construction of first integrals for certain non-linear dynamical systems
• Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
• An application of Ray–Reid invariants
• Noether’s theorem, time-dependent invariants and nonlinear equations of motion
• Time-dependent dynamical symmetries and constants of motion. III. Time-dependent harmonic oscillator

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