Interactions between normal modes in nonlinear dynamical systems with discrete symmetry. Exact results

DOI10.1016/S0167-2789(98)80012-2zbMath0937.37036OpenAlexW2061065263MaRDI QIDQ1967247

G. M. Chechin, Vladimir P. Sakhnenko

Publication date: 8 June 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)80012-2

zbMATH Keywords

nonlinear dynamicsHamiltonian systemssymmetry groupnon-Hamiltonian systemsdiscrete symmetryirreducible representations of the symmetry groupnormal mode interactions

Mathematics Subject Classification ID

Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

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• Computers and group-theoretical methods for studying structural phase transitions
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• Regular and stochastic motion
• Symmetry properties and normal mode vibrations
• Stability of nonlinear normal modes of symmetric Hamiltonian systems
• Existence of nonlinear normal modes of symmetric Hamiltonian systems
• Periodic solutions near equilibria of symmetric Hamiltonian systems
• The Normal Modes of Nonlinear n-Degree-of-Freedom Systems

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