dorsal/arxiv
View SchemaControlling chaos in spatially extended beam-plasma system by the continuous delayed feedback
| Authors | Alexander Hramov, Alexey koronovskii, Irene Rempen |
|---|---|
| Categories | |
| ArXiv ID | physics/0602127 |
| URL | https://arxiv.org/abs/physics/0602127 |
| DOI | 10.1063/1.2168394 |
| Journal | CHAOS. 16 (2006) 013123 |
Abstract
In present paper we discuss the control of complex spatio-temporal dynamics in a {spatially extended} non-linear system (fluid model of Pierce diode) based on the concepts of controlling chaos in the systems with few degrees of freedom. A presented method is connected with stabilization of unstable homogeneous equilibrium state and the unstable spatio-temporal periodical states analogous to unstable periodic orbits of chaotic dynamics of the systems with few degrees of freedom. We show that this method is effective and allows to achieve desired regular dynamics chosen from a number of possible in the considered system.
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"abstract": "In present paper we discuss the control of complex spatio-temporal dynamics\nin a {spatially extended} non-linear system (fluid model of Pierce diode) based\non the concepts of controlling chaos in the systems with few degrees of\nfreedom. A presented method is connected with stabilization of unstable\nhomogeneous equilibrium state and the unstable spatio-temporal periodical\nstates analogous to unstable periodic orbits of chaotic dynamics of the systems\nwith few degrees of freedom. We show that this method is effective and allows\nto achieve desired regular dynamics chosen from a number of possible in the\nconsidered system.",
"arxiv_id": "physics/0602127",
"authors": [
"Alexander Hramov",
"Alexey koronovskii",
"Irene Rempen"
],
"categories": [
"physics.plasm-ph",
"nlin.CD"
],
"doi": "10.1063/1.2168394",
"journal_ref": "CHAOS. 16 (2006) 013123",
"title": "Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback",
"url": "https://arxiv.org/abs/physics/0602127"
},
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