| ID | 112109 |
| Author |
Kousaka, Takuji
Fukuyama University
Ueta, Tetsushi
The University of Tokushima
Tokushima University Educator and Researcher Directory
KAKEN Search Researchers
Kawakami, Hiroshi
The University of Tokushima
Tokushima University Educator and Researcher Directory
|
| Keywords | Controlling chaos
piecewise-defined differential equation
Poincaré mapping
|
| Content Type |
Journal Article
|
| Description | In this paper, we propose a general method for controlling chaos in a nonlinear dynamical system containing a state-dependent switch. The pole assignment for the corresponding discrete system derived from such a non-smooth system via Poincaré mapping works effectively. As an illustrative example, we consider controlling the chaos in the Rayleigh-type oscillator with a state-dependent switch, which is changed by the hysteresis comparator. The unstable 1- and 2-periodic orbits in the chaotic attractor are stabilized in both numerical and experimental simulations.
|
| Journal Title |
International Journal of Bifurcation and Chaos
|
| ISSN | 02181274
17936551
|
| NCID | AA10810319
|
| Publisher | World Scientific
|
| Volume | 12
|
| Issue | 5
|
| Start Page | 1111
|
| End Page | 1119
|
| Published Date | 2002-05
|
| Rights | Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 12, No. 5, 2002, 1111-1119, DOI: 10.1142/S0218127402004942 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc
|
| EDB ID | |
| DOI (Published Version) | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
|
| TextVersion |
Author
|
| departments |
Center for Administration of Information Technology
Science and Technology
|
