Browsing by Author "Ho, Chun-Yen"

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A new study of chaotic behavior and the existence of Feigenbaum's constants in fractional-degree Yin-Yang Henon maps
(2013-10-01)
Ho, Chun-Yen
;
Chen, Hsien-Keng
;
Ge, Zheng-Ming
;
機械工程學系
;
Department of Mechanical Engineering
In this paper, we firstly develop fractional-degree H,non maps with increasing and decreasing argument n. Yin and Yang are two fundamental opposites in Chinese philosophy. Yin represents the moon and is the decreasing, negative, historical, or feminine principle in nature, while Yang represents the sun and is the increasing, positive, contemporary, or masculine principle in nature. Chaos produced by increasing n is called Yang chaos, that by decreasing n Yin chaos, respectively. The simulation results show that chaos appears via positive Lyapunov exponents, bifurcation diagrams, and phase portraits. In order to examine the existence of chaotic behaviors in fractional-degree Yin-Yang H,non maps, Feigenbaum's constants are measured in this paper. It is found that the Feigenbaum's constants in fractional-degree Yin-Yang H,non maps are of great precision to the first and second Feigenbaum's constants. A detailed analysis of the chaotic behaviors is also performed for the fractional-degree H,non maps with increasing (Yang) and decreasing (Yin) argument n.
Chaos control of new Ikeda-Lorenz systems by GYC partial region stability theory
(2009-08-01)
Ge, Zheng-Ming
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Ho, Chun-Yen
;
Li, Shih-Yu
;
Chang, Ching-Ming
;
機械工程學系
A new strategy to achieve chaos control by GYC partial region stability theory is proposed. By using the GYC partial region stability theory, the Lyapunov function is a simple linear homogeneous function of error states, the controllers are more simple and have less simulation error because they are in lower degree than that of traditional controllers. Simulation results for a new Ikeda-Lorenz system show the effectiveness of this strategy. Copyright (C) 2008 John Wiley & Sons, Ltd.
Chaos synchronization of Yin and Yang T-S fuzzy models of Henon map system
(2013-07-01)
Ho, Chun-Yen
;
Chen, Hsien-Keng
;
Ge, Zheng-Ming
;
機械工程學系
;
Department of Mechanical Engineering
Based on the Chinese philosophy, Yin is the decreasing, negative, historical or feminine principle in nature, while Yang is the increasing, positive, contemporary or masculine principle in nature. Yin and Yang are two fundamental opposites in Chinese philosophy. Since the discrete Henon map system is an invertible map, Yin-Yang T-S fuzzy model of chaotic Henon map systems with increasing and decreasing argument can be studied. The Yang T-S fuzzy model of chaotic Henon map system is presented. The Yin T-S fuzzy model of chaotic Henon map system and Yin T-S fuzzy rules are obtained by invertible matrix in linear system theory. Chaos synchronization of Yang T-S fuzzy model of Henon map systems is achieved by parallel distributed compensation technique, and the fuzzy controller for chaos synchronization of Yin T-S fuzzy model of Henon map systems is also obtained by invertible matrix in linear system theory. The design of the Yin fuzzy controller is fleetly obtained by the inverse of Yang fuzzy controller, the concern is the Yin chaotic system must be an inverse of the Yang chaotic system. T-S fuzzy model scheme is used in the nonlinear discrete chaotic map system, so the nonlinear discrete chaotic map system can be analyzed by linear system theory.
Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon Maps
(2012)
Ho, Chun-Yen
;
Chen, Hsien-Keng
;
Ge, Zheng-Ming
;
機械工程學系
;
Department of Mechanical Engineering
This paper investigates the synchronization of Yin and Yang chaotic T-S fuzzy Henon maps via PDC controllers. Based on the Chinese philosophy, Yin is the decreasing, negative, historical, or feminine principle in nature, while Yang is the increasing, positive, contemporary, or masculine principle in nature. Yin and Yang are two fundamental opposites in Chinese philosophy. The Henon map is an invertible map; so the Henon maps with increasing and decreasing argument can be called the Yang and Yin Henon maps, respectively. Chaos synchronization of Yin and Yang T-S fuzzy Henon maps is achieved by PDC controllers. The design of PDC controllers is based on the linear invertible matrix theory. The T-S fuzzy model of Yin and Yang Henon maps and the design of PDC controllers are novel, and the simulation results show that the approach is effective.