Control of chaos in Hamiltonian systems
G. Ciraolo, C. Chandre, R. Lima, M. Vittot, M. Pettini
Abstract
We present a technique to control chaos in Hamiltonian systems which are close to integrable. By adding a small and simple control term to the perturbation, the system becomes more regular than the original one. We apply this technique to a forced pendulum model and show numerically that the control is able to drastically reduced chaos.
Create a lesson
Related papers
Experimental detection of energy transfer into the antiphase mode in a branched double pendulum
Yusuke Toda, Takeshi Ooshida
Trigonometric Nosé--Hoover oscillator: chaos, periodic orbits and integrability
Wojciech Szumiński, Jaume Llibre
Ladder of information limits on prediction for reduced-order models
Adrian Lozano-Duran
A New Route to Chaos through the Geometric Composition of Non-Normal Amplification
D. Sornette, V. R. Saiprasad, V. Troude
Dynamics, periodic orbits and C1 non-integrability of the ABC flow
Wojciech Szumiński, Jaume Llibre
Requirement-Induced Predictive Geometry for Finite-Resource Prediction in Dynamical Systems
Song-Ju Kim