Rich dynamics for a model arising in the study of suspension bridges

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Complex behavior and chaotic systems of ordinary differential equations (34C28) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps
Continuous dependence of the solutions of an ordinary differential equation
Nonlinear models of suspension bridges: discussion of the results.
The monotonicity of the period function for planar Hamiltonian vector fields
Precise damping conditions for global asymptotic stability for nonlinear second order systems
Fixed point index for iterations of maps, topological horseshoe and chaos
How little is little enough?
Topological horseshoes for surface homeomorphisms
Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits
Mathematical models for suspension bridges. Nonlinear structural instability
Chaotic dynamics in a periodically perturbed Liénard system.
An example of chaotic dynamics in 3D systems via stretching along paths
Some remarks on topological horseshoes and applications
Long-time dynamics of a hinged-free plate driven by a nonconservative force
Topological horseshoes
On three definitions of chaos
On the Definition of Chaos
Chaotic dynamics in the Volterra predator-prey model via linked twist maps
Computer assisted proof of chaos in the Rössler equations and in the Hénon map
Boundedness in Periodically Forced Second Order Conservative Systems
Subshifts of Finite Type in Linked Twist Mappings
Yet Another Definition of Chaos
On the Periodic Boundary Value Problem and Chaotic-like Dynamics for Nonlinear Hill’s Equations
The Operator of Translation Along the Trajectories of Differential Equations
Linear theory for beams with intermediate piers
Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
Nonlinear Equations for Beams and Degenerate Plates with Piers
Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation
CHAOTIC DYNAMICS FOR MAPS IN ONE AND TWO DIMENSIONS: A GEOMETRICAL METHOD AND APPLICATIONS TO ECONOMICS
Foundations of chaotic mixing
Differentiable dynamical systems
The method of adapted energies for second order evolution equations with dissipation
Long-time behaviour for solutions of systems of PDEs modelling suspension bridges

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