CHAOTIC MOTION AND HAMILTONIAN DYNAMICS OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE DUE TO RESONANT-TRIAD INTERACTIONS

DOI10.1142/S0218127409023378zbMath1167.37342MaRDI QIDQ3391946

Yibin Fu, Ji-Bin Li, Feng Juan Chen

Publication date: 13 August 2009

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

zbMATH Keywords

instabilitychaosnonlinear elasticityresonant interactionprestress

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Chaotic dynamics of a whirling pendulum
• Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
• On the existence of chaos in a class of two-degree-of-freedom, damped, strongly parametrically forced mechanical systems with broken \(O(2)\) symmetry
• Multipulse orbits in the motion of flexible spinning discs
• Local bifurcations in the motion of spinning discs.
• Traveling wave solutions for a class of nonlinear dispersive equations
• Resonant-triad instability of a pre-stressed incompressible elastic plate
• Nonlinear stability analysis of pre-stressed elastic bodies.
• Symmetry-breaking bifurcations in resonant surface waves
• A nonlinear analysis of instability of a pre-stressed incompressible elastic plate
• On the imperfection sensitivity of a coated elastic half-space
• Symmetries of the Amplitude Equations of an Inextensional Beam With Internal Resonance
• The Post-Buckling Problem for Thin Elastic Shells
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

This page was built for publication: CHAOTIC MOTION AND HAMILTONIAN DYNAMICS OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE DUE TO RESONANT-TRIAD INTERACTIONS