Average-preserving symmetries and energy equipartition in linear Hamiltonian systems

DOI10.1007/s00498-009-0039-2zbMath1180.93027OpenAlexW2170336623MaRDI QIDQ1047916

Dennis S. Bernstein, Sanjay P. Bhat

Publication date: 8 January 2010

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-009-0039-2

zbMATH Keywords

symmetryHamiltonian systemsequipartitionvirial theoremaverage-preserving symmetrycenter subgroups

Mathematics Subject Classification ID

Pole and zero placement problems (93B55) Algebraic methods (93B25)

Related Items (1)

Imaginary axis eigenvalues of Hamiltonian matrix: controllability, defectiveness and the ϵ-characteristic

Cites Work

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• Dissipative dynamical systems. I: General theory
• Dissipative dynamical systems. II: Linear systems with quadratic supply rates
• Conserved- and zero-mean quadratic quantities in oscillatory systems
• Nonlinear networks and Onsager-Casimir reversibility
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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