A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities

DOI10.1023/A:1025515112708zbMath1038.70016OpenAlexW2166126487MaRDI QIDQ1418913

Lawrence A. Bergman, Alexander F. Vakakis, Leonid I. Manevitch, Oleg V. Gendelman

Publication date: 14 January 2004

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025515112708

zbMATH Keywords

nonlinear normal modes nonlinear energy sink essential stiffness nonlinearity degenerate bifurcations

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear modes (70K75)

Related Items (5)

Contribution to efficiency of irreversible passive energy pumping with a strong nonlinear attachment ⋮ Competitive energy transfer between a two degree-of-freedom dynamic system and an absorber with essential nonlinearity ⋮ Energy pumping with various nonlinear structures: Numerical evidences ⋮ DEGENERATE BIFURCATION SCENARIOS IN THE DYNAMICS OF COUPLED OSCILLATORS WITH SYMMETRIC NONLINEARITIES ⋮ Hamiltonian dynamics and targeted energy transfer of a grounded bistable nonlinear energy sink

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