Integrable deformations of Rikitake systems, Lie bialgebras and bi-Hamiltonian structures
DOI10.1016/J.CNSNS.2024.108167MaRDI QIDQ6591840
Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
Publication date: 22 August 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
ordinary differential equationsintegrabilitynonlinear dynamicsPoisson-Lie groupsdeformationscoupled systemsLie bialgebrasbi-Hamiltonian systemsRikitake systemPoisson coalgebras
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Lie bialgebras; Lie coalgebras (17B62) Poisson algebras (17B63) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)
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