Transient mode localization in coupled strongly nonlinear exactly solvable oscillators

DOI10.1007/S11071-007-9207-4zbMath1170.70345OpenAlexW2100339474MaRDI QIDQ840373

Valery N. Pilipchuk

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-007-9207-4

zbMATH Keywords

normal modesbifurcation of resonance manifoldimpact modestransient mode localization

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

• Transitions from localization to nonlocalization in strongly nonlinear damped oscillators
• Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment
• Bounded parametric control of random vibrations
• Transition from planar to whirling oscillations in a certain nonlinear system
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