(英) Controlling chaos in a state-dependent nonlinear system (日) 状態に依存する非線形力学系に対するカオス制御
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(英) 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 nonsmooth system via Poincar e 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 one- and two-periodic orbits in the chaotic attractor are stabilized in both numerical and experimental simulations. (日) 状態に依存し切り替わるスイッチを有する非線形力学系に関するカオス制御の一般的手法について提案する.ポアンカレ写像を巧妙に定義すれば,それから導かれる離散写像やそのヤコビは適切に評価でき,制御系設計に活かされる.例としてレイリータイプ発振器に状態依存型スイッチが組込まれた系について,そのカオス中に含まれる不安定周期軌道を安定化する.
ISSN: 0218-1274
(pISSN: 0218-1274) Title: International journal of bifurcation and chaos in applied sciences and engineering Title(ISO): Int J Bifurcat Chaos Publisher: World Sci. Publ., Singapore. (NLM Catalog) (Scopus) (CrossRef)
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Takuji Kousaka, Tetsushi UetaandHiroshi Kawakami : Controlling chaos in a state-dependent nonlinear system, International Journal of Bifurcation and Chaos, Vol.12, No.5, 1111-1119, 2002.
欧文冊子 ●
Takuji Kousaka, Tetsushi UetaandHiroshi Kawakami : Controlling chaos in a state-dependent nonlinear system, International Journal of Bifurcation and Chaos, Vol.12, No.5, 1111-1119, 2002.
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