Research output: Contribution to journal › Article › peer-review
A new type of chaos control based on Optimal Discretization Algorithm (ODA) is described. The approach optimizes the complexity of a given dynamical system through variation of discretization parameters. In particular, a chaotic system can be transformed into a system with various numbers of discrete cycles. As the first step, applications of ODA are restricted to a special but instructive case of dynamical systems with a single chaotic attractor. The description of ODA is supplemented by a motivated introduction of its components with emphasis on those that are crucial for obtaining optimal and generalized results. The approach is illustrated in four examples of dynamical systems: Lorenz, Controlled Duffing, Rössler, and Controlled Pendulum.
| Original language | English |
|---|---|
| Pages (from-to) | 59-66 |
| Number of pages | 8 |
| Journal | International Journal of Engineering Science |
| Volume | 44 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1 Jan 2006 |
ID: 48654139