Nonstationary energy localization vs conventional stationary localization in weakly coupled nonlinear oscillators

DOI10.1134/S1560354716020015zbMath1344.34048MaRDI QIDQ294474

Agnessa Kovaleva, Grigori Sigalov, Leonid I. Manevitch

Publication date: 16 June 2016

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

coupled oscillatorsnonlinear oscillationsnonlinear resonancessystems with slow and fast motions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations for ordinary differential equations (34E15) Nonlinear resonances for nonlinear problems in mechanics (70K30) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (1)

Escape dynamics of a forced‐damped classical particle in an infinite‐range potential well

Cites Work

• Classical and quantum targeted energy transfer between nonlinear oscillators
• Non-smooth approximations of the limiting phase trajectories for the Duffing oscillator near \(1:1\) resonance
• New approach to beating phenomenon in coupled nonlinear oscillatory chains
• Energy exchange and transition to localization in the asymmetric Fermi-pasta-Ulam oscillatory chain
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