Reduction, Stability, Instability and Bifurcation in Rotationally Symmetric Hamiltonian Systems

DOI10.1080/02681119308806148zbMath0782.70015OpenAlexW1996226029MaRDI QIDQ3142583

Brett Zombro, Philip J. Holmes

Publication date: 28 February 1994

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119308806148

zbMATH Keywords

eigenproblemcharacteristic polynomialsparse matriceslinearized equationsmass-spring systemsreduced energy momentum methodblock-diagonalization methodheavy top

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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