Synchronization of nonlinear oscillations of two coupling Berger plates

DOI10.1016/j.na.2006.06.034zbMath1120.35027OpenAlexW2003627133MaRDI QIDQ884488

Olena Naboka

Publication date: 6 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.034

zbMATH Keywords

dissipative dynamical systemsynchronization of attractorstwo identical equationsupper semi-continuous dependence

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Nonlinear differential equations in abstract spaces (34G20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (6)

Random attractor for stochastic non-autonomous Berger equation with critical exponent ⋮ Blowout bifurcation and chaos-hyperchaos transition in five-dimensional continuous autonomous systems ⋮ Global attractors and synchronization of coupled critical Lamé systems with nonlinear damping ⋮ Synchronization phenomena in the system consisting of \(m\) coupled Berger plates ⋮ Synchronization in coupled stochastic sine-Gordon wave model ⋮ On partial synchronization of nonlinear oscillations of two Berger plates coupled by internal subdomains

Cites Work

• Upper semicontinuity of attractors and synchronization
• Global attractor of a contact parabolic problem in a thin two-layer domain
• Abstract methods for synchronization and applications
• The persistence of synchronization under environmental noise
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