Target-oriented chaos control |
| |
Authors: | Justine Dattani Jack CH BlakeFrank M Hilker |
| |
Institution: | a Centre for Mathematical Biology, Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, United Kingdom b Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom |
| |
Abstract: | Designing intervention methods to control chaotic behavior in dynamical systems remains a challenging problem, in particular for systems that are difficult to access or to measure. We propose a simple, intuitive technique that modifies the values of the state variables directly toward a certain target. The intervention takes into account the difference to the target value, and is a combination of traditional proportional feedback and constant feedback methods. It proves particularly useful when the target corresponds to the equilibrium of the uncontrolled system, and is available or can be estimated from expert knowledge (e.g. in biology and economy). |
| |
Keywords: | Chaos control One-dimensional map Linear feedback Bifurcation Population dynamics |
本文献已被 ScienceDirect 等数据库收录! |
|