Open AccessAN EXAMPLE OF HAMILTONIAN SYSTEM AND CONTROLLING CHAOS WITH SIMPLE LIMITERS
Author(s) -
Wei Li,
Shigang Chen
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.1434
Subject(s) - limiter , hamiltonian system , harmonic oscillator , chaotic , control theory (sociology) , periodic orbits , hamiltonian (control theory) , physics , control of chaos , simple (philosophy) , synchronization of chaos , statistical physics , classical mechanics , computer science , mathematics , quantum mechanics , control (management) , telecommunications , mathematical optimization , philosophy , epistemology , artificial intelligence
A new type of one-dimensional periodic ally driven Hamiltonian system (an harmonic) has been proposed and its characteristics discussed. Chaotic dynamics in the driven oscillator is controlled using an adjustable, passive limiter (a weight for the oscillator). The chaotic trajectories of the conservative system can be controlled to some of the low periodic (or low energy) orbits. The results demonstrate that chaos control can be accomplished using controllers that are very simple relative to the system being controlled.