Chua's Circuit: Ten Years Later (Special Section on Nonlinear Theory and Its Applications)

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概要

• 論文の詳細を見る

• More than 200 papers, two special issues (Journal of Circuits, Systems, and Computers, March, June, 1993, and IEEE Trans. on Circuits and Systems, vol.40, no.10, October 1993), an International workshop on "Chua's Circuit: chaotic phenomena and applications" at NOLTA'93, and a book (Edited by R.N.Madan, World Scientific, 1993) on Chua's circuit have been published since its inception a decade ago. This review paper attempts to present an overview of these timely publications, almost all within the last 6 months, and to identify four milestones of this very active research area. An important milestone is the recent fabrication of a monolithic Chua's circuit. The robustness of this IC chip demonstrates that an array of Chua's circuits can also be fabricated into a monolithic chip, thereby opening the floodgate to many unconventional applications in information technology, synergetics, and even music. The second milestone is the recent global unfolding of Chua's circuit, obtained by adding a linear resistor in series with the inductor to obtain a canonical Chua's circuit-now generally referred to as Chua's oscillator. This circuit is most significant because it is structurally the simplest (it contain only 6 circuit elements) but dynamically the most complex among all non-linear circuits and systems described by a 21-parameter family of continuous odd-symmetric piecewise-linear vector fields. The third milestone is the recent discovery of several important new phenomena in Chua's Circuits, e.g., stochastic resonance, chaos-chaos type intermittency, 1/f noise spectrum, etc. These new phenomena could have far-reaching theoretical and practical significance. The fourth milestone is the theoretical and experimental demonstration that Chua's circuit can be easily controlled from a chaotic regime to a prescribed periodic or constant orbit, or it can be synchronized with 2 or more identical Chua's circuits, operating in an oscillatory, or a chaotic regime. These recent breakthroughs have ushered in a new era where chaos is deliberately created and exploited for unconventional applications, e.g., secure communication.

• 社団法人電子情報通信学会の論文
• 1994-11-25

著者

• Chua Leon

  Department of Electrical Engineering and Computer Sciences, University of Catifornia,Berkeley

• Chua Leon

  Department Of Electrical Engineering And Computer Sciences University Of California Berkeley

• Chua Leon

  Department Of Electrical Engineering And Computer Sciences University Of California

• Chua L

  Univ. California At Berkeley Ca Usa

関連論文

• チェーン状に結合したチュア発振器系の信号伝送
• 外力のあるチュア発振器の分岐現象
• Chua's Circuit: Ten Years Later (Special Section on Nonlinear Theory and Its Applications)
• Communication Systems via Chaotic Modulations (Special Section of Papers Selected from JTC-CSCC'93)

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