Geometric structure of generalized controlled Hamiltonian systems and its application

DOI10.1007/BF02916984zbMath0981.53077OpenAlexW2009327949MaRDI QIDQ1589780

Zairong Xi, Qiang Lu, Daizhan Cheng, Shengwei Mei

Publication date: 27 March 2002

Published in: Science in China. Series E (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02916984

zbMATH Keywords

symplectic groupexcitation controlspectrumLie groupPoisson bracketstructure-preservationgeneralized controlled Hamiltonian systempseudo-Poisson manifold

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

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Cites Work

• Some aspects of Hamiltonian systems and symplectic algorithms
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