DEGENERATE BIFURCATION SCENARIOS IN THE DYNAMICS OF COUPLED OSCILLATORS WITH SYMMETRIC NONLINEARITIES

DOI10.1142/S021812740601468XzbMath1101.37315MaRDI QIDQ5484846

Oleg V. Gendelman

Publication date: 21 August 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

nonlinear normal modesnonlinear energy sinkessential stiffness nonlinearitydegenerate bifurcations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (1)

Various Bifurcation Phenomena in a Nonlinear Curved Beam Subjected to Base Harmonic Excitation

Cites Work

• A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities
• Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems
• Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
• Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators

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