Bifurcation analysis of the Zhukovskii-Volterra system via bi-Hamiltonian approach

DOI10.1134/S1560354710060043zbMath1209.37072MaRDI QIDQ2430935

Yanyan Li

Publication date: 8 April 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

bifurcationssemisimple Lie algebrasintegrable Hamiltonian systemscompatible Poisson structures

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (1)

Singularities of bi-Hamiltonian systems

Cites Work

• Explicit solution of the Zhukovski-Volterra gyrostat
• Bi-Hamiltonian structures and singularities of integrable systems
• Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
• A simple model of the integrable Hamiltonian equation
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
• Integrable systems, Poisson pencils, and hyperelliptic Lax pairs
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