A New Memristor Based Chaotic System

2013 ◽  
Vol 275-277 ◽  
pp. 2481-2486
Author(s):  
Yu Xia Li ◽  
Lan Ying Zhao ◽  
Wen Qing Chi ◽  
Shu Li Lu ◽  
Xia Huang
Keyword(s):  
Power Spectrum ◽  
Lyapunov Exponents ◽  
Computer Simulations ◽  
Chaotic System ◽  
Spectrum Analysis ◽  
Power Spectrum Analysis ◽  
Chaotic Circuit ◽  
Negative Element ◽  
Nonlinear Resistor ◽  
A Charge

In this paper, we present a new memristor based chaotic circuit, which is obtained by replacing the nonlinear resistor in the canonical Chua’s circuit with a charge-controlled memristor. This chaotic circuit uses only the four basic circuit elements, and has only one negative element in addition to the nonlinearity. The existence of the chaos is not only demonstrated by computer simulations, but also verified with Lyapunov exponents, bifurcation, poincaré mapping and power spectrum analysis.

scholarly journals The Generation, Analysis, and Circuit Implementation of a New Memristor Based Chaotic System

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yuxia Li ◽  
Xia Huang ◽  
Mei Guo
Keyword(s):  
Power Spectrum ◽  
Computer Simulations ◽  
Bifurcation Analysis ◽  
Laboratory Experiments ◽  
Power Spectrum Analysis ◽  
Circuit Implementation ◽  
Chaotic Circuit ◽  
Nonlinear Resistor ◽  
Dynamical Behaviors ◽  
Negative Conductance

We present a new memristor based chaotic circuit, which is generated by replacing the nonlinear resistor in Chua’s circuit with a flux-controlled memristor and a negative conductance. The dynamical behaviors are verified not only by computer simulations but also by Lyapunov exponents, bifurcation analysis, Poincaré mapping, power spectrum analysis, and laboratory experiments.

scholarly journals Power spectrum analysis of BNL decay rate data

2010 ◽  
Vol 34 (2) ◽  
pp. 121-127 ◽  
Author(s):  
P.A. Sturrock ◽  
J.B. Buncher ◽  
E. Fischbach ◽  
J.T. Gruenwald ◽  
D. Javorsek II ◽  
...  
Keyword(s):  
Power Spectrum ◽  
Decay Rate ◽  
Spectrum Analysis ◽  
Power Spectrum Analysis ◽  
Rate Data

A HYPERCHAOTIC SYSTEM WITH A FOUR-WING ATTRACTOR

2009 ◽  
Vol 20 (02) ◽  
pp. 323-335 ◽  
Author(s):  
GUOSI HU ◽  
BO YU
Keyword(s):  
System Dynamics ◽  
Lyapunov Exponents ◽  
Computer Simulations ◽  
Chaotic System ◽  
Bifurcation Analysis ◽  
Topological Structure ◽  
Hyperchaotic System ◽  
Wide Range ◽  
New Chaotic System

Recently, there are many methods for constructing multi-wing/multi-scroll or hyperchaotic attractors; however, it has been noticed that the attractors with both multi-wing topological structure and hyperchaotic characteristic rarely exist. A new chaotic system, obtained by making the change on coordinate to the Hu chaotic system, can generate very complex attractors with four-wing topological structure and three positive Lyapunov exponents over a wide range of parameters. The influence of parameters varying to system dynamics is analyzed, computer simulations and bifurcation analysis is also verified in this paper.

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