dorsal/arxiv
View SchemaControl of the chaotic state caused by the curent-driven ion acoustic instabilit and dynamical behavior using delayed feedback
| Authors | Takao Fukuyama, Christian Wilke, Yoshinobu Kawai |
|---|---|
| Categories | |
| ArXiv ID | physics/0410196 |
| URL | https://arxiv.org/abs/physics/0410196 |
Abstract
Controlling chaos caused by the current-driven ion acoustic instability is attempted using the delayed continuous feedback method, i.e., the time-delay auto synchronization (TDAS) method introduced by Pyragas [Phys. Lett. A 170 (1992) 421.]. When the control is applied to the typical chaotic state, chaotic orbit changes to periodic one, maintaining the instability. The chaotic state is well controlled using the TDAS method. It is found that the control is achieved when a delay time is chosen near the unstable periodic orbit corresponding to the fundamental mode. Furthermore, when the delayed feedback is applied to a periodic nonlinear regime and arbitrary time delay is chosen, the periodic state is leaded to various motions including chaos. As a related topic, the synchronization between two instabilities of autonomous discharge tubes in a glow discharge is studied. Two tubes are settled independently and interacting each other through the coupler consisted of variable resister and capacitor. When the value of resister is changed as the strength of coupling, coupled system shows a state such as chaos synchronization.
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"abstract": "Controlling chaos caused by the current-driven ion acoustic instability is\nattempted using the delayed continuous feedback method, i.e., the time-delay\nauto synchronization (TDAS) method introduced by Pyragas [Phys. Lett. A 170\n(1992) 421.]. When the control is applied to the typical chaotic state, chaotic\norbit changes to periodic one, maintaining the instability. The chaotic state\nis well controlled using the TDAS method. It is found that the control is\nachieved when a delay time is chosen near the unstable periodic orbit\ncorresponding to the fundamental mode. Furthermore, when the delayed feedback\nis applied to a periodic nonlinear regime and arbitrary time delay is chosen,\nthe periodic state is leaded to various motions including chaos. As a related\ntopic, the synchronization between two instabilities of autonomous discharge\ntubes in a glow discharge is studied. Two tubes are settled independently and\ninteracting each other through the coupler consisted of variable resister and\ncapacitor. When the value of resister is changed as the strength of coupling,\ncoupled system shows a state such as chaos synchronization.",
"arxiv_id": "physics/0410196",
"authors": [
"Takao Fukuyama",
"Christian Wilke",
"Yoshinobu Kawai"
],
"categories": [
"physics.plasm-ph"
],
"title": "Control of the chaotic state caused by the curent-driven ion acoustic instabilit and dynamical behavior using delayed feedback",
"url": "https://arxiv.org/abs/physics/0410196"
},
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