Poincaré-Cartan integral invariants of Birkhoffian systems

DOI10.1007/BF02439379zbMath1043.70010MaRDI QIDQ1429169

Mei Shang, Yong-Xin Guo, Shao-Kai Luo

Publication date: 18 May 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

symplectic structuredamped linear oscillation

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Forced motions in linear vibration theory (70J35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (1)

Approximate Birkhoffian formulations for nonconservative systems

Cites Work

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• Lie symmetry and conservation law of Birkhoffian system.
• Integral invariant in nonconservative systems and its application in modern physics
• Poincaré-Cartan integral invariants of nonconservative dynamical systems
• Poincaré-Cartan integral variants and invariants of nonholonomic constrained systems

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