Generalized Henon Maps as Difference Equations

2002 ◽  
pp. 211-212
Keyword(s):  
Difference Equations ◽  
Henon Maps ◽  
Hénon Maps

scholarly journals Design of PDC Controllers by Matrix Reversibility for Synchronization ofYinandYangChaotic Takagi-Sugeno Fuzzy Henon Maps

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Chun-Yen Ho ◽  
Hsien-Keng Chen ◽  
Zheng-Ming Ge
Keyword(s):  
Chaos Synchronization ◽  
Matrix Theory ◽  
Chinese Philosophy ◽  
Fuzzy Model ◽  
Invertible Matrix ◽  
Henon Maps ◽  
Hénon Maps ◽  
Feminine Principle ◽  
Simulation Results ◽  
Takagi Sugeno

This paper investigates the synchronization ofYinandYangchaotic T-S fuzzy Henon maps via PDC controllers. Based on the Chinese philosophy,Yinis the decreasing, negative, historical, or feminine principle in nature, whileYangis the increasing, positive, contemporary, or masculine principle in nature.YinandYangare 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 theYangandYinHenon maps, respectively. Chaos synchronization ofYinandYangT-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 ofYinandYangHenon maps and the design of PDC controllers are novel, and the simulation results show that the approach is effective.

scholarly journals Reversible Complex Hénon Maps

2002 ◽  
Vol 11 (3) ◽  
pp. 339-347 ◽  
Author(s):  
C. R. Jordan ◽  
D. A. Jordan ◽  
J. H. Jordan
Keyword(s):  
Henon Maps ◽  
Hénon Maps

scholarly journals Generalized Hénon maps: the cubic diffeomorphisms of the plane

2000 ◽  
Vol 143 (1-4) ◽  
pp. 262-289 ◽  
Author(s):  
H.R. Dullin ◽  
J.D. Meiss
Keyword(s):  
Henon Maps ◽  
Hénon Maps

scholarly journals On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps

2018 ◽  
Vol 28 (4) ◽  
pp. 043123
Author(s):  
M. Gonchenko ◽  
S. V. Gonchenko ◽  
I. Ovsyannikov ◽  
A. Vieiro
Keyword(s):  
Henon Maps ◽  
Hénon Maps

scholarly journals Different types of critical behavior in conservatively coupled Hénon maps

2015 ◽  
Vol 91 (6) ◽  
Author(s):  
Dmitry V. Savin ◽  
Alexander P. Kuznetsov ◽  
Alexey V. Savin ◽  
Ulrike Feudel
Keyword(s):  
Critical Behavior ◽  
Henon Maps ◽  
Hénon Maps ◽  
Different Types

The basin of the strange attractors of some Hénon maps

2000 ◽  
Vol 11 (5) ◽  
pp. 729-734 ◽  
Author(s):  
Yongluo Cao ◽  
Shin Kiriki
Keyword(s):  
Strange Attractors ◽  
Henon Maps ◽  
Hénon Maps
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