Phase synchronization of memristive systems by using saturation gain method

2020 ◽  
Vol 34 (09) ◽  
pp. 2050074
Author(s):  
Siyu Ma ◽  
Ping Zhou ◽  
Jun Ma ◽  
Chunni Wang
Keyword(s):  
Phase Synchronization ◽  
Induction Coil ◽  
Nonlinear Circuits ◽  
Chua Circuit ◽  
Artificial Synapse ◽  
Voltage Balance ◽  
Coupling Channel ◽  
Memristive Circuits ◽  
Memristive Systems ◽  
Chaotic Circuits

A variety of electric components can be used to bridge connection to the nonlinear circuits, and continuous pumping and consumption of energy are critical for voltage balance between the output end. The realization and stability of synchronization are mainly dependent on the physical properties of coupling channel, which can be built by using different electric components such as resistor, capacitor, induction coil and even memristor. In this paper, a memristive nonlinear circuit developed from Chua circuit is presented for investigation of synchronization, and capacitor, induction coil are jointed with resistor for building artificial synapse which connects one output of two identical memristive circuits. The capacitance and inductance of the coupling channel are carefully adjusted with slight step increase to estimate the threshold of coupling intensity supporting complete synchronization. As a result, the saturation gain method applied to realize the synchronization between chaotic circuits and physical mechanism is presented.

Control and synchronization in nonlinear circuits by using a thermistor

2020 ◽  
Vol 34 (25) ◽  
pp. 2050267 ◽  
Author(s):  
Xiufang Zhang ◽  
Chunni Wang ◽  
Jun Ma ◽  
Guodong Ren
Keyword(s):  
Phase Synchronization ◽  
Chaotic Oscillation ◽  
Nonlinear Circuits ◽  
Physical Parameters ◽  
Mode Transition ◽  
Complete Synchronization ◽  
Chua Circuit ◽  
Dynamical Parameters ◽  
Coupling Channel ◽  
Control And Synchronization

The survival and occurrence of chaos are much dependent on the intrinsic nonlinearity and parameters region for deterministic nonlinear systems, which are often represented by ordinary differential equations and maps. When nonlinear circuits are mapped into dimensional dynamical systems for further nonlinear analysis, the physical parameters of electric components, e.g. capacitor, inductor, resistance, memristor, can also be replaced by dynamical parameters for possible adjustment. Slight change for some bifurcation parameters can induce distinct mode transition and dynamics change in the chaotic systems only when the parameter is adjustable and controllable. In this paper, a thermistor is included into the chaotic Chua circuit and the temperature effect is considered by investigating the mode transition in oscillation and the dependence of Hamilton energy on parameters setting in thermistor. Furthermore, the temperature of thermistor is adjusted for finding possible synchronization between two chaotic Chua circuits connected by a thermistor. When the coupling channel via thermistor connection is activated, two identical Chua circuits (periodical or chaotic oscillation) can reach complete synchronization. In particular, two periodical Chua circuits can be coupled to present chaotic synchronization by taming parameters in thermistor of coupling channel. However, phase synchronization is reached while complete synchronization becomes difficult when the coupling channel is activated to coupling a periodical Chua circuit and a chaotic Chua circuit. It can give guidance for further control of firing behaviors in neural circuits when the thermistor can capture the heat effectively.

SIMPLE MEMRISTIVE TIME-DELAY CHAOTIC SYSTEMS

2013 ◽  
Vol 23 (04) ◽  
pp. 1350073 ◽  
Author(s):  
VIET-THANH PHAM ◽  
ARTURO BUSCARINO ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA
Keyword(s):  
Time Delay ◽  
Nonvolatile Memory ◽  
Chaotic Systems ◽  
Chaotic Behavior ◽  
Nonlinear Circuits ◽  
Memory Devices ◽  
Nonvolatile Memory Devices ◽  
Memristive Systems ◽  
Chaotic Circuits ◽  
Application Fields

Memristive systems have appeared in various application fields from nonvolatile memory devices and biological structures to chaotic circuits. In this paper, we propose two nonlinear circuits based on memristive systems in the presence of delay, i.e. memristive systems in which the state of the memristor depends on the time-delay. Both systems can exhibit chaotic behavior and, notably, in the second model, only a capacitor and a memristor are required to obtain chaos.

MEMRISTIVE CHAOTIC CIRCUITS BASED ON CELLULAR NONLINEAR NETWORKS

2012 ◽  
Vol 22 (03) ◽  
pp. 1250070 ◽  
Author(s):  
ARTURO BUSCARINO ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA ◽  
LUCIA VALENTINA GAMBUZZA ◽  
GREGORIO SCIUTO
Keyword(s):  
High Speed ◽  
Electronic Circuit ◽  
Nonlinear Circuits ◽  
Chaotic Attractors ◽  
Associative Memories ◽  
Biological Models ◽  
Memristive Device ◽  
Nonlinear Networks ◽  
Chaotic Circuits ◽  
Chaotic Electronic Circuit

Memristors are gaining increasing interest in the scientific community for their possible applications, e.g. high-speed low-power processors or new biological models for associative memories. Due to the intrinsic nonlinear characteristic of memristive devices, it is possible to use them in the design of new dynamical circuits that are able to show complex behavior, like chaos. In this paper, two new memristive chaotic circuits are presented discussing, in particular, an approach based on Cellular Nonlinear Networks for the implementation of the memristive device. The approach investigated in this paper allows to obtain memristors with common off-the-shelf components and to observe the onset of new chaotic attractors in nonlinear circuits with memristors. Furthermore, the circuits presented in this paper, being the first examples of memristive chaotic circuits based on CNNs, can be considered as the link between the three inventions by Leon O. Chua, i.e. the memristor, the first chaotic electronic circuit and Cellular Nonlinear Networks.

SYNCHRONIZATION AND CLUSTER FORMATION PHENOMENA IN CNN-LIKE STRUCTURES OF COUPLED NONLINEAR CIRCUITS

2003 ◽  
Vol 12 (04) ◽  
pp. 389-397 ◽  
Author(s):  
Z. GALIAS ◽  
M. J. OGORZAŁEK
Keyword(s):  
Cluster Formation ◽  
Computer Experiments ◽  
Nonlinear Circuits ◽  
Spatial Clusters ◽  
Nonlinear Networks ◽  
Chaotic Circuits

The aim of this paper is to investigate synchronization phenomena in arrays composed of locally interconnected chaotic circuits. Such arrays are often considered as generalized Cellular Nonlinear Networks. In our computer experiments we study in particular the phenomena of formation of synchronized spatial clusters.

scholarly journals N-phase synchronization of asymmetric attractors in a ring of coupled chaotic circuits

2014 ◽  
Author(s):  
Takuya Nishimoto ◽  
Yoko Uwate ◽  
Yasuteru Hosokawa ◽  
Yoshifumi Nishio ◽  
Daniele Fournier-Prunaret
Keyword(s):  
Phase Synchronization ◽  
Chaotic Circuits

Radio Frequency Chaotic Circuit Design

2015 ◽  
pp. 364-398
Author(s):  
Christos Volos ◽  
Ioannis Kyprianidis ◽  
Ioannis Stouboulos ◽  
Viet-Thanh Pham
Keyword(s):  
Radio Frequency ◽  
Fundamental Frequency ◽  
Nonlinear Circuits ◽  
Chaotic Oscillations ◽  
Lyapunov Dimension ◽  
Chaotic Circuit ◽  
Colpitts Oscillator ◽  
Microwave Region ◽  
History Of ◽  
Chaotic Circuits

In recent decades the design of nonlinear circuits, which are capable of generating chaotic oscillations from audio frequencies up to the optical band, is a great challenge due to their use as sources of chaotic carriers in a variety of applications. Therefore, this chapter is dedicated to this class of circuits. A brief history of the first nonlinear circuits, which were the most important stages in the evolution of chaotic circuits, is given at the beginning of the chapter. Next, one of the most well known nonlinear circuits, the circuit of Colpitts oscillator, and its modifications, operating from a few Hertz up to the microwave region, are described in detail. A novel modification of Colpitts oscillator, which has higher fundamental frequency than the others do and greater Lyapunov dimension is also studied. Finally, some interesting applications of this class of circuits are presented at the end of this chapter.

Synchronization realization between two nonlinear circuits via an induction coil coupling

2019 ◽  
Vol 96 (1) ◽  
pp. 205-217 ◽  
Author(s):  
Zhao Yao ◽  
Jun Ma ◽  
Yuangen Yao ◽  
Chunni Wang
Keyword(s):  
Induction Coil ◽  
Nonlinear Circuits

OBSERVATIONS OF PHASE SYNCHRONIZATION PHENOMENA IN ONE-DIMENSIONAL ARRAYS OF COUPLED CHAOTIC ELECTRONIC CIRCUITS

2000 ◽  
Vol 10 (10) ◽  
pp. 2391-2398 ◽  
Author(s):  
ANDRZEJ DABROWSKI ◽  
ZBIGNIEW GALIAS ◽  
MACIEJ OGORZAŁEK
Keyword(s):  
Numerical Experiments ◽  
Phase Synchronization ◽  
Analytic Signal ◽  
Electronic Circuits ◽  
One Dimensional ◽  
Phase Plot ◽  
Chaotic Circuits ◽  
Signal Approach ◽  
Insight Into

Using numerical experiments we show that the phase synchronization concept enables better insight into the synchronization phenomena encountered in coupled nonlinear chaotic circuits. In some cases when the phase plot inspection does not allow to confirm synchrony such kind of behavior can be distinguished by inspection of the phase calculated using the analytic signal approach.

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