Bifurcation of coupled-mode responses by modal coupling in cubic nonlinear systems

DOI10.1090/qam/1402zbMath1334.37050OpenAlexW2321432416MaRDI QIDQ2792377

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Publication date: 9 March 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1402

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (1)

Transient dynamics, damping, and mode coupling of nonlinear systems with internal resonances

Cites Work

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• Non-linear normal modes and their bifurcation of a class of systems with three double of pure imaginary roots and dual internal resonances
• The construction of non-linear normal modes for systems with internal resonance
• Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
• Synge's concept of stability applied to non-linear normal modes
• On the coupling of non-linear normal modes
• On the existence and bifurcation of minimal normal modes
• Normal modes and global dynamics of a two-degree-of-freedom non-linear system. I: Low energies
• Normal modes and global dynamics of a two-degree-of-freedom non-linear system. II: High energies
• Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
• Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment
• Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system
• A higher order approximation for non-linear normal modes in two degree of freedom systems
• Normal modes for nonlinear Hamiltonian systems
• The geometrical stability of non-linear normal modes in two degree of freedom systems
• On the Stability Behavor of Bifurcated Normal Modes in Coupled Nonlinear Systems
• Normal Modes for Non-Linear Vibratory Systems

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