Presentation 1995/5/19
Some Considerations on the Necessary Conditions for Generating Chaos in the 3rd Order Oscillators
Masami Kuramitsu, Takao Oku,
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Abstract(in English) The 3rd order oscillators are classified with respect to chaos. There exist 11 types of the 3rd order oscillators which consist of 3 capacitors and inductors in total, one cubic nolinear active resistor, and one negative linear resistor, respectively. Two following conditions for generating chaos are considered. (1) There exist plural equilibrium points, and all of them are unstable. (2) Their stability changes complicatedly as a parameter is changed. Seven oscillators are selected under the condition (1), and six of them are expected to generate chaos under the condition (2). This result is confirmed by computer simulation. We can expect that these conditions for generating chaos are effective to classify more general oscillators.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) chaos / 3rd order oscillator / condition for generating chaos / classification of oscillators
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Committee NLP
Conference Date 1995/5/19(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) Some Considerations on the Necessary Conditions for Generating Chaos in the 3rd Order Oscillators
Sub Title (in English)
Keyword(1) chaos
Keyword(2) 3rd order oscillator
Keyword(3) condition for generating chaos
Keyword(4) classification of oscillators
1st Author's Name Masami Kuramitsu
1st Author's Affiliation Department of Electrical Engineering, Faculty of Engineering, Kyoto University()
2nd Author's Name Takao Oku
2nd Author's Affiliation Department of Electrical Engineering, Faculty of Engineering, Kyoto University
Date 1995/5/19
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Volume (vol) vol.95
Number (no) 47
Page pp.pp.-
#Pages 8
Date of Issue