Presentation 2012-03-27
Electronic Circuit Representing Large-Scale Augmented Lorenz Oscillator and Its Dynamical Properties
Koki YOSHIMOTO, Mitsuhiro AONO, Takaya MIYANO,
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Abstract(in English) The nondimensionalized expression for the equations of motion of a chaotic gas turbine that randomly reverses the direction of rotational motion is represented as a starlike network of infinitely many Lorenz subsystems sharing the dimensionless angular velocity as the central node, referred to as augmented Lorenz equations. Using LTspice as a circuit simulator and under the number of the Lorenz subsystems truncated at 1000, we implement a large-scale nonlinear oscillator subject to the augmented Lorenz equations and numerically examine the dynamical properties of the oscillator.
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Keyword(in English) Lorenz Equations / Augmented Lorenz Equations / Chaotic Gas Turbine / Nonlinear Oscillator
Paper # NLP2011-146
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Committee NLP
Conference Date 2012/3/20(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) Electronic Circuit Representing Large-Scale Augmented Lorenz Oscillator and Its Dynamical Properties
Sub Title (in English)
Keyword(1) Lorenz Equations
Keyword(2) Augmented Lorenz Equations
Keyword(3) Chaotic Gas Turbine
Keyword(4) Nonlinear Oscillator
1st Author's Name Koki YOSHIMOTO
1st Author's Affiliation Graduate School of Science and Engineering, Ritsumeikan University()
2nd Author's Name Mitsuhiro AONO
2nd Author's Affiliation Graduate School of Science and Engineering, Ritsumeikan University
3rd Author's Name Takaya MIYANO
3rd Author's Affiliation Graduate School of Science and Engineering, Ritsumeikan University
Date 2012-03-27
Paper # NLP2011-146
Volume (vol) vol.111
Number (no) 498
Page pp.pp.-
#Pages 5
Date of Issue