Presentation | 1994/5/19 Controlling Chaos In A Manifold Piecewise Linear System Kunihiko Mitsubori, Toshimichi Saito, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | This paper discusses controlling chaos in manifold piecewise linear system.The system dynamics is described by two 2- dimensional linear equtions connected by hysteresis switchings and we can derive one dimensional return map analytically.The map is strictly piecewise linear and expanding.We propose a simple chaos control method that stabilize one of many unstable periodic orbits(ab.UPO)in this system.The control method is based on the return map and is effective.Then we can overcome the following fundamental problems: 1)Rigorous proof of observable chaos generation,2)Calculation and search of UPO, 3)Precise and speedy stabilization of UPO,4)Simple implementation of the control method. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Manifold piecewise linear system / controlling chaos / 1- dimensional return map / unstable periodic orbits |
Paper # | NLP94-6 |
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Committee | NLP |
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Conference Date | 1994/5/19(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Nonlinear Problems (NLP) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Controlling Chaos In A Manifold Piecewise Linear System |
Sub Title (in English) | |
Keyword(1) | Manifold piecewise linear system |
Keyword(2) | controlling chaos |
Keyword(3) | 1- dimensional return map |
Keyword(4) | unstable periodic orbits |
1st Author's Name | Kunihiko Mitsubori |
1st Author's Affiliation | Hosei University() |
2nd Author's Name | Toshimichi Saito |
2nd Author's Affiliation | Hosei University |
Date | 1994/5/19 |
Paper # | NLP94-6 |
Volume (vol) | vol.94 |
Number (no) | 44 |
Page | pp.pp.- |
#Pages | 8 |
Date of Issue |