Abstract An open plus nonlinear closed loop control law is presented for chaotic oscillations described by a set of non-autonomous second-order ordinary differential equations. It is proven that the basins of entrainment are global when the right-hand sides of the equations are given by arbitrary polynomial functions. The forced Duffing oscillator and the forced van der Pol oscillator are treated as numerical examples to demonstrate the applications of the method.
Received: 21 November 2001
Revised: 11 March 2002
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10082003), and the Science and Technology Development Foundation for Shanghai Higher Education Institutes.
Cite this article:
Chen Li-Qun (陈立群) An open plus nonlinear closed loop control of chaotic oscillators 2002 Chinese Physics 11 900
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
