LIMITING PHASE TRAJECTORIES AND TRANSIENT RESONANCE OSCILLATIONS IN 1 AND 2 DOF ASYMMETRIC NONLINEAR SYSTEMS

DOI10.1142/S0218127411030234zbMath1270.70062MaRDI QIDQ2843695

E. L. Manevitch, Leonid I. Manevitch

Publication date: 23 August 2013

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

zbMATH Keywords

forced vibrationsseparatrixlimiting phase trajectoriesasymmetric nonlinear system

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (2)

Targeted energy transfer with parallel nonlinear energy sinks. I: Design theory and numerical results ⋮ Complexification-averaging method via the averaged Lagrangian

Cites Work

• Unnamed Item
• New approach to beating phenomenon in coupled nonlinear oscillatory chains
• Limiting phase trajectories and energy exchange between anharmonic oscillator and external force

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