Presentation 2002/12/13
On finite-dimensional approximations of the Mackey-Glass difference-differential equation
Takashi YAMAMOTO, Shinji DOI, Sadatoshi KUMAGAI,
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Abstract(in English) The Mackey-Glass equation, which is famous as a difference-differential equation generating chaos, is an infinite-dimensional dynamical system, and can produce very complicated solutions. We analyze these solutions by means of applying various finite-dimensional approximations to the time-delay, and clarify the characteristics of the nonlinear dynamics generating chaos attractors.
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Keyword(in English) delay-differential equation / chaos / Taylor expansion / Pade approximation
Paper # NLP2002-84
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Committee NLP
Conference Date 2002/12/13(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On finite-dimensional approximations of the Mackey-Glass difference-differential equation
Sub Title (in English)
Keyword(1) delay-differential equation
Keyword(2) chaos
Keyword(3) Taylor expansion
Keyword(4) Pade approximation
1st Author's Name Takashi YAMAMOTO
1st Author's Affiliation Department of Electrical Engineering, Osaka University()
2nd Author's Name Shinji DOI
2nd Author's Affiliation Department of Electrical Engineering, Osaka University
3rd Author's Name Sadatoshi KUMAGAI
3rd Author's Affiliation Department of Electrical Engineering, Osaka University
Date 2002/12/13
Paper # NLP2002-84
Volume (vol) vol.102
Number (no) 536
Page pp.pp.-
#Pages 6
Date of Issue