Projective lifts and generalized Ermakov and Bernoulli systems

DOI10.1006/jmaa.1999.6305zbMath0932.34002OpenAlexW2047583949MaRDI QIDQ1290956

Chris Athorne

Publication date: 6 March 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6305

zbMATH Keywords

generalized Ermakov and Bernoulli systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26)

Related Items (5)

Ermakov–Ray–Reid Reductions of Variational Approximations in Nonlinear Optics ⋮ STABILIZER ORBIT OF VIRASORO ACTION AND INTEGRABLE SYSTEMS ⋮ Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory ⋮ On Multi-component Ermakov Systems in a Two-Layer Fluid: Integrable Hamiltonian Structures and Exact Vortex Solutions ⋮ Hybrid Ermakov-Painlevé IV Systems

Cites Work

• Unnamed Item
• Ermakov systems, Noether's theorem and the Sarlet-Bahar method
• Multi-component Ermakov systems: Structure and linearization
• Ermakov systems of arbitrary order and dimension: structure and linearization

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