Nonlinear Resistor Fractal Networks

1991 ◽  
pp. 387-390
Author(s):  
Rafael Blumenfeld ◽  
Amnon Aharony
Keyword(s):  
Nonlinear Resistor

scholarly journals Three-Saddle-Foci Chaotic Behavior of a Modified Jerk Circuit with Chua’s Diode

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1803
Author(s):  
Pattrawut Chansangiam
Keyword(s):  
Equilibrium Point ◽  
Chaotic Behavior ◽  
Initial Conditions ◽  
Piecewise Linear ◽  
Equilibrium Points ◽  
Initial Point ◽  
Electrical Circuit ◽  
Nonlinear Resistor ◽  
Voltage Current Characteristic ◽  
Time Waveform

This paper investigates the chaotic behavior of a modified jerk circuit with Chua’s diode. The Chua’s diode considered here is a nonlinear resistor having a symmetric piecewise linear voltage-current characteristic. To describe the system, we apply fundamental laws in electrical circuit theory to formulate a mathematical model in terms of a third-order (jerk) nonlinear differential equation, or equivalently, a system of three first-order differential equations. The analysis shows that this system has three collinear equilibrium points. The time waveform and the trajectories about each equilibrium point depend on its associated eigenvalues. We prove that all three equilibrium points are of type saddle focus, meaning that the trajectory of (x(t),y(t)) diverges in a spiral form but z(t) converges to the equilibrium point for any initial point (x(0),y(0),z(0)). Numerical simulation illustrates that the oscillations are dense, have no period, are highly sensitive to initial conditions, and have a chaotic hidden attractor.

Resistance noise in nonlinear resistor networks

1987 ◽  
Vol 58 (4) ◽  
pp. 415-418 ◽  
Author(s):  
R. Rammal ◽  
A. -M. S. Tremblay
Keyword(s):  
Nonlinear Resistor ◽  
Resistor Networks ◽  
Resistance Noise

Mutators for transforming nonlinear resistor into memristor

2011 ◽  
Author(s):  
Dalibor Biolek ◽  
Josef Bajer ◽  
Viera Biolkova ◽  
Zdenek Kolka
Keyword(s):  
Nonlinear Resistor

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.

An Algorithm for Solving Nonlinear Resistor Networks

1965 ◽  
Vol 44 (8) ◽  
pp. 1605-1620 ◽  
Author(s):  
Jacob Katzenelson
Keyword(s):  
Nonlinear Resistor ◽  
Resistor Networks

Scalable nonlinear resistor model for GaAs MMIC

2006 ◽  
Author(s):  
Yu Zhu ◽  
Cejun Wei ◽  
Oleksiy Klimashov ◽  
Cindy Zhang ◽  
Yevgeniy Tkachenko
Keyword(s):  
Nonlinear Resistor

A New Model for Simulating AC and Surge Properties of ZnO Varistors Based on Microstructural Characteristics

2008 ◽  
Vol 368-372 ◽  
pp. 510-513 ◽  
Author(s):  
Jun Hu ◽  
Jin Liang He ◽  
Feng Chao Luo
Keyword(s):  
Numerical Simulation ◽  
Grain Boundaries ◽  
Conduction Mechanism ◽  
Piecewise Linear ◽  
Linear Method ◽  
Microstructural Characteristics ◽  
Nonlinear Resistor ◽  
Resistor Networks ◽  
Zno Varistors ◽  
The Relationship

The numerical simulation is an effective method for researching the relationship between macroscopic properties of ZnO varistors and their microstructural characteristics. However, the computing efficiency is a big problem for further researches. In this paper, a quick piecewise linear method for solving the complicated nonlinear resistor networks of ZnO varistors is proposed, which can significantly improve the computing efficiency by a hundred times. The simulating models for the microstructural characteristics of ZnO varistors are improved based on actual conduction mechanism of grain boundaries. The simulations of more bulk characteristics of ZnO varistors become possible, such as alternating current (AC) and surge properties.

scholarly journals Localized State in a Nonlinear Resistor Network

2000 ◽  
Vol 104 (1) ◽  
pp. 55-61 ◽  
Author(s):  
H. Sakaguchi
Keyword(s):  
Resistor Network ◽  
Nonlinear Resistor ◽  
Localized State
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