Presentation 1998/2/6
Transition between attractors of Duffing oscillator system excited by plural external inputs
Arata Okuyama, Kazutoshi Gohara,
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Abstract(in English) In order to analyze nonautonomous dynamical systems excited by external time varying inputs, we define the input as a set of temporal patterns. The system is characterized by the trajectry of transient states among excited attractors. If Poincare map is contraction, the trajectry converges to an invariant set with fractal structure. We named it fractal transition. This paper experimentally verifies the fractal transition with non-contraction Poincare map of Duffing equation.
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Keyword(in English) Excited Attractor / Poincare Section / IFS / Fractal Transition / Duffing Equation / Non-contraction Map
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Committee NC
Conference Date 1998/2/6(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Transition between attractors of Duffing oscillator system excited by plural external inputs
Sub Title (in English)
Keyword(1) Excited Attractor
Keyword(2) Poincare Section
Keyword(3) IFS
Keyword(4) Fractal Transition
Keyword(5) Duffing Equation
Keyword(6) Non-contraction Map
1st Author's Name Arata Okuyama
1st Author's Affiliation Graduate school of Engineering, Hokkaido University()
2nd Author's Name Kazutoshi Gohara
2nd Author's Affiliation Graduate school of Engineering, Hokkaido University
Date 1998/2/6
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Volume (vol) vol.97
Number (no) 533
Page pp.pp.-
#Pages 8
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