HETEROCLINIC BIFURCATIONS AND OPTIMAL CONTROL IN THE NONLINEAR ROCKING DYNAMICS OF GENERIC AND SLENDER RIGID BLOCKS

DOI10.1142/S0218127405013046zbMath1092.70519MaRDI QIDQ5474270

Stefano Lenci, Giuseppe Rega

Publication date: 23 June 2006

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

zbMATH Keywords

chaosperturbation analysis

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Control of mechanical systems (70Q05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (16)

Analytical prediction of chaos in rotated Froude pendulum ⋮ Non smooth dynamics of mechanical systems with history term ⋮ Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation ⋮ Stability and control of random rocking motion of a multidimensional structure: the Melnikov approach ⋮ Heteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zones ⋮ The Melnikov criterion of instability for random rocking of a rigid block with a fractional derivative element ⋮ Exploiting Global Dynamics of a Noncontact Atomic Force Microcantilever to Enhance Its Dynamical Robustness via Numerical Control ⋮ Controlling practical stability and safety of mechanical systems by exploiting chaos properties ⋮ The Use of Tuned Mass Absorber to Prevent Overturning of the Rigid Block During Earthquake ⋮ Bifurcation and chaos near sliding homoclinics ⋮ An example of chaotic behaviour in presence of a sliding homoclinic orbit ⋮ A simplified optimal control method for homoclinic bifurcations ⋮ On the chaotic behavior of non-flat billiards ⋮ Dynamical Integrity and Control of Nonlinear Mechanical Oscillators ⋮ The Melnikov criterion of instability for random rocking dynamics of a rigid block with an attached secondary structure ⋮ A dynamical systems approach to the overturning of rocking blocks

Cites Work

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• MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS
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