Optimal numerical control of single-well to cross-well chaos transition in mechanical systems.
type: Item
instance of: scholarly article
title: Optimal numerical control of single-well to cross-well chaos transition in mechanical systems.
zbMATH Open document ID: 1058.70027
DOI: 10.1016/S0960-0779(02)00116-9
author: S. Lenci
author: G. Rega
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 70K55
Mathematics Subject Classification ID: 70K50
zbMATH DE Number: 2026999
zbMATH Keywords: bifurcations
zbMATH Keywords: Duffing equation
zbMATH Keywords: superharmonic correction
describes a project that uses: Dynamics
MaRDI profile type: Publication
cites work: Extracting qualitative dynamics from experimental data
cites work: Numerical computation of homoclinic orbits for flows
cites work: Q4217274
cites work: Crises, sudden changes in chaotic attractors, and transient chaos
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: An efficient method for computing invariant manifolds of planar maps
cites work: FROM SINGLE WELL CHAOS TO CROSS WELL CHAOS: A DETAILED EXPLANATION IN TERMS OF MANIFOLD INTERSECTIONS
cites work: A procedure for reducing the chaotic response region in an impact mechanical system
cites work: Controlling Nonlinear Dynamics in a Two-Well Impact System.
cites work: Optimal Control of Homoclinic Bifurcation: Theoretical Treatment and Practical Reduction of Safe Basin Erosion in the Helmholtz Oscillator
cites work: A unified control framework of the non-regular dynamics of mechanical oscillators
cites work: Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2'' DOS Diskette.
cites work: Controlling chaos
cites work: Q3842163
cites work: Common features of the onset of the persistent chaos in nonlinear oscillators: a phenomenological approach
cites work: Chaotic phenomena triggering the escape from a potential well
cites work: Q4273507
cites work: Basin explosions and escape phenomena in the twin-well Duffing oscillator: compound global bifurcations organizing behaviour
cites work: CALCULATING STABLE AND UNSTABLE MANIFOLDS
cites work: Global bifurcations and chaos. Analytical methods
cites work: Q4692840
cites work: Q4499695
full work available at URL: s0960-0779(02)00116-9
OpenAlex ID: W2075332364
Recommended article: Controlling chaos of a periodically forced nonsmooth mechanical system
Recommended article: Numerical and experimental exploration of phase control of chaos
Recommended article: Control of chaos: methods and applications in mechanics
Recommended article: Optimal chaos control and discretization algorithms
Recommended article: OPTIMAL CONTROL OF CHAOS IN NONLINEAR DRIVEN OSCILLATORS VIA LINEAR TIME-VARYING APPROXIMATIONS
Recommended article: Optimal control for a class of chaotic systems
Recommended article: Q5686932
Recommended article: Q5695665
Recommended article: OPTIMAL CONTROL OF CHAOTIC SYSTEMS
Recommended article: Q4499734
description: scientific article; zbMATH DE number 2026999