期刊
PRAMANA-JOURNAL OF PHYSICS
卷 90, 期 3, 页码 -出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-018-1534-0
关键词
Hamilton energy; feedback; chaos; phase compression; control
资金
- National Natural Science Foundation of China [11372122]
Continuous energy supply is critical and important to support oscillating behaviour; otherwise, the oscillator will die. For nonlinear and chaotic circuits, enough energy supply is also important to keep electric devices working. In this paper, Hamilton energy is calculated for dimensionless dynamical system (e.g., the chaotic Lorenz system) using Helmholtz's theorem. The Hamilton energy is considered as a newvariable and then the dynamical system is controlled by using the scheme of energy feedback. It is found that chaos can be suppressed even when intermittent feedback scheme is applied. This scheme is effective to control chaos and to stabilise other dynamical systems.
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