Presentation	1999/6/22 Synthesis and Analysis of Manifold Piecewise-Constant System Tadashi Tsubone, Toshimichi Saito,
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Abstract(in English)	We propose manifold piecewise constant systems and consider their basic phenomena: the 2-D, 3-D and 4-D MPC_s exhibit limit-cycle, line-expanding chaos and area-expanding chaos, respectively. The righthand side of the state equation is piecewise-constant, hence the system ddynamics can be simplified into a piecewise-linear return map which can be expressed explicitly, In order to analyze the picewise-linear return map, we introduce an evaluation function for the piecewise-linear return map and give theoretical evidence for chaos generation. Also the chaotic behaviors are demonstrated in the laboratory.
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Keyword(in English)	Chaos / Manifold Piecewise-Constant System / Evaluation function
Paper #	NLP99-41
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Conference Information
Committee	NLP
Conference Date	1999/6/22(1days)
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Paper Information
Registration To	Nonlinear Problems (NLP)
Language	ENG
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	Synthesis and Analysis of Manifold Piecewise-Constant System
Sub Title (in English)
Keyword(1)	Chaos
Keyword(2)	Manifold Piecewise-Constant System
Keyword(3)	Evaluation function
1st Author's Name	Tadashi Tsubone
1st Author's Affiliation	Department of Electrical Electronic Engineering, HOSEI University()
2nd Author's Name	Toshimichi Saito
2nd Author's Affiliation	Department of Electrical Electronic Engineering, HOSEI University
Date	1999/6/22
Paper #	NLP99-41
Volume (vol)	vol.99
Number (no)	134
Page	pp.pp.-
#Pages	8
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