On the symmetries of a Rikitake type system

DOI10.1016/J.CRMA.2012.04.016zbMath1253.34041arXiv1404.6656OpenAlexW2962693352MaRDI QIDQ432691

Tudor Bînzar, Cristian Lăzureanu

Publication date: 4 July 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6656

zbMATH Keywords

symmetrynonlinear systemsbi-Hamiltonian structure

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (7)

On the Hamilton-Poisson realizations of the integrable deformations of the Maxwell-Bloch equations ⋮ Hyperchaotic oscillation in the deformed Rikitake two-disc dynamo system induced by memory effect ⋮ Degenerate with respect to parameters fold-Hopf bifurcations ⋮ On a deformed version of the two-disk dynamo system. ⋮ Symmetries of the Maxwell-Bloch equations with the rotating wave approximation ⋮ Hamilton-Poisson realizations of the integrable deformations of the Rikitake system ⋮ Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system

Cites Work

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• Multiple Hamiltonian structures for Toda systems of type \(A\)-\(B\)-\(C\)
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• On a Hamiltonian Version of the Rikitake System
• Symmetries of Maxwell-Bloch Equations
• Symmetries and differential equations

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