Numerical Simulation of the Chua's Oscillator Based on a MOSFET Structure with a Cubic Nonlinearity

2018 ◽  
Author(s):  
Andriy Semenov ◽  
Anton Savytskyi ◽  
Olena Semenova ◽  
Maksym Huz
Keyword(s):  
Numerical Simulation ◽  
Cubic Nonlinearity ◽  
Chua’S Oscillator

scholarly journals The Application of the Undetermined Fundamental Frequency Method on the Period-Doubling Bifurcation of the 3D Nonlinear System

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Gen Ge ◽  
Wei Wang
Keyword(s):  
Numerical Simulation ◽  
Nonlinear System ◽  
Fundamental Frequency ◽  
Three Dimensional ◽  
Period Doubling ◽  
Period Doubling Bifurcation ◽  
Cubic Nonlinearity ◽  
Frequency Method ◽  
The Stability ◽  
Second Period

The analytical method to predict the period-doubling bifurcation of the three-dimensional (3D) system is improved by using the undetermined fundamental frequency method. We compute the stable response of the system subject to the quadratic and cubic nonlinearity by introducing the undetermined fundamental frequency. For the occurrence of the first and second period-doubling bifurcation, the new bifurcation criterion is accomplished. It depends on the stability of the limit cycle on the central manifold. The explicit applications show that the new results coincide with the results of the numerical simulation as compared with the initial methods.

A SIMPLE MEMRISTOR CHAOTIC CIRCUIT WITH COMPLEX DYNAMICS

2011 ◽  
Vol 21 (09) ◽  
pp. 2629-2645 ◽  
Author(s):  
BOCHENG BAO ◽  
ZHENGHUA MA ◽  
JIANPING XU ◽  
ZHONG LIU ◽  
QIANG XU
Keyword(s):  
Numerical Simulation ◽  
Finite Time ◽  
Complex Dynamics ◽  
Circuit Implementation ◽  
Chaotic Circuit ◽  
Cubic Nonlinearity ◽  
Initial State ◽  
Simulation Results ◽  
Active Flux ◽  
Different Time Scales

A simple memristor-based chaotic circuit with an active flux-controlled memristor characterized by a smooth continuous cubic nonlinearity is designed. The proposed chaotic circuit can generate a 2-scroll chaotic attractor on a finite time scale and has an equilibrium set with its stability dependent on the initial state of the memristor. The complex dynamics of the proposed chaotic circuit under different initial state of the memristor are investigated both theoretically and numerically. In particular, some novel transient transition behaviors with different time scales are found in the memristor circuit. Experimental observations based on a universal circuit implementation platform are conducted to partially verify the numerical simulation results.

A FAST AND SIMPLE IMPLEMENTATION OF CHUA'S OSCILLATOR WITH CUBIC-LIKE NONLINEARITY

2005 ◽  
Vol 15 (09) ◽  
pp. 2959-2971 ◽  
Author(s):  
KEITH O'DONOGHUE ◽  
MICHAEL PETER KENNEDY ◽  
PEADAR FORBES ◽  
MIN QU ◽  
STEPHANIE JONES
Keyword(s):  
Piecewise Linear ◽  
Qualitative Behavior ◽  
Cubic Nonlinearity ◽  
Chua’S Oscillator ◽  
Simple Implementation ◽  
Linear Nature

The nonlinearity in Chua's oscillator is commonly implemented as a three-segment piecewise-linear resistor. The piecewise-linear nature of the element means that the implementation requires a significant amount of circuitry and the speed of operation is limited. The qualitative behavior of Chua's oscillator has also been captured using a smooth cubic nonlinearity; the implementation of the latter also requires a significant amount of circuitry and suffers from limited speed of operation. This work describes a novel implementation of Chua's oscillator using just four transistors and a battery to produce a cubic-like nonlinearity. The circuit is simple, robust, and capable of operating at frequencies over one thousand times greater than the original Chua's oscillator.

Water uptake by substituted amylose tablets: experimentation and numerical simulation

2009 ◽  
Vol 00 (00) ◽  
pp. 090904073309027-8
Author(s):  
H.W. Wang ◽  
S. Kyriacos ◽  
L. Cartilier
Keyword(s):  
Numerical Simulation ◽  
Water Uptake
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