Chaotic oscillator based on memcapacitor and meminductor

Xiaoyuan Wang, Jun Yu, Chenxi Jin, Herbert Ho Ching Iu, Simin Yu

Research output: Contribution to journalArticle

Abstract

Memcapacitor and meminductor are two new nonlinear memory circuit components defined on the basis of memristor. In the absence of physical devices of memcapacitor and meminductor, applying their equivalent circuit models into actual circuits to explore the characteristics of memcapacitor- and meminductor-based nonlinear circuits is meaningful. In this paper, a nonlinear oscillating circuit is designed based on the given nonvolatile memcapacitor and meminductor models, whose memory characteristics are analyzed using POP method in detail, and a series of dynamic characteristics of the novel chaotic circuit are analyzed, including Poincaré section, equilibrium point, system stability, bifurcation diagrams, Lyapunov exponent spectrums and dynamic map of the system. By analyzing the influence of parameters on system dynamics, the evolutionary law of the system is obtained, which helps to better use of this chaotic oscillator in possible application areas like communication encryption and synchronization approach dependent on the initial setting. In particular, coexisting attractors are found under different initial values, by drawing the attractive basin, four different types of attractors in the system are discovered, and from the attractive basin, the evolutionary process of the system under different initial values is obtained. Finally, the validity of the system is verified by DSP experiment, and the experimental results are consistent with the theoretical analysis.

Original languageEnglish
Pages (from-to)161-173
Number of pages13
JournalNonlinear Dynamics
Volume96
Issue number1
DOIs
Publication statusPublished - 1 Apr 2019

Fingerprint

Chaotic Oscillator
Networks (circuits)
Drawing (graphics)
Attractor
Memristors
Data storage equipment
Chaotic Circuit
Nonlinear Circuits
Equivalent Circuit
System stability
Memory Model
Equivalent circuits
Cryptography
Bifurcation Diagram
Dynamic Characteristics
Synchronization
Dynamical systems
Equilibrium Point
System Dynamics
Lyapunov Exponent

Cite this

Wang, Xiaoyuan ; Yu, Jun ; Jin, Chenxi ; Iu, Herbert Ho Ching ; Yu, Simin. / Chaotic oscillator based on memcapacitor and meminductor. In: Nonlinear Dynamics. 2019 ; Vol. 96, No. 1. pp. 161-173.
@article{6128411c9fb8454f85a0c62d4ca0f1bf,
title = "Chaotic oscillator based on memcapacitor and meminductor",
abstract = "Memcapacitor and meminductor are two new nonlinear memory circuit components defined on the basis of memristor. In the absence of physical devices of memcapacitor and meminductor, applying their equivalent circuit models into actual circuits to explore the characteristics of memcapacitor- and meminductor-based nonlinear circuits is meaningful. In this paper, a nonlinear oscillating circuit is designed based on the given nonvolatile memcapacitor and meminductor models, whose memory characteristics are analyzed using POP method in detail, and a series of dynamic characteristics of the novel chaotic circuit are analyzed, including Poincar{\'e} section, equilibrium point, system stability, bifurcation diagrams, Lyapunov exponent spectrums and dynamic map of the system. By analyzing the influence of parameters on system dynamics, the evolutionary law of the system is obtained, which helps to better use of this chaotic oscillator in possible application areas like communication encryption and synchronization approach dependent on the initial setting. In particular, coexisting attractors are found under different initial values, by drawing the attractive basin, four different types of attractors in the system are discovered, and from the attractive basin, the evolutionary process of the system under different initial values is obtained. Finally, the validity of the system is verified by DSP experiment, and the experimental results are consistent with the theoretical analysis.",
keywords = "Chaos, Chaotic oscillator, Coexisting attractors, Memcapacitor, Meminductor",
author = "Xiaoyuan Wang and Jun Yu and Chenxi Jin and Iu, {Herbert Ho Ching} and Simin Yu",
year = "2019",
month = "4",
day = "1",
doi = "10.1007/s11071-019-04781-5",
language = "English",
volume = "96",
pages = "161--173",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer",
number = "1",

}

Chaotic oscillator based on memcapacitor and meminductor. / Wang, Xiaoyuan; Yu, Jun; Jin, Chenxi; Iu, Herbert Ho Ching; Yu, Simin.

In: Nonlinear Dynamics, Vol. 96, No. 1, 01.04.2019, p. 161-173.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Chaotic oscillator based on memcapacitor and meminductor

AU - Wang, Xiaoyuan

AU - Yu, Jun

AU - Jin, Chenxi

AU - Iu, Herbert Ho Ching

AU - Yu, Simin

PY - 2019/4/1

Y1 - 2019/4/1

N2 - Memcapacitor and meminductor are two new nonlinear memory circuit components defined on the basis of memristor. In the absence of physical devices of memcapacitor and meminductor, applying their equivalent circuit models into actual circuits to explore the characteristics of memcapacitor- and meminductor-based nonlinear circuits is meaningful. In this paper, a nonlinear oscillating circuit is designed based on the given nonvolatile memcapacitor and meminductor models, whose memory characteristics are analyzed using POP method in detail, and a series of dynamic characteristics of the novel chaotic circuit are analyzed, including Poincaré section, equilibrium point, system stability, bifurcation diagrams, Lyapunov exponent spectrums and dynamic map of the system. By analyzing the influence of parameters on system dynamics, the evolutionary law of the system is obtained, which helps to better use of this chaotic oscillator in possible application areas like communication encryption and synchronization approach dependent on the initial setting. In particular, coexisting attractors are found under different initial values, by drawing the attractive basin, four different types of attractors in the system are discovered, and from the attractive basin, the evolutionary process of the system under different initial values is obtained. Finally, the validity of the system is verified by DSP experiment, and the experimental results are consistent with the theoretical analysis.

AB - Memcapacitor and meminductor are two new nonlinear memory circuit components defined on the basis of memristor. In the absence of physical devices of memcapacitor and meminductor, applying their equivalent circuit models into actual circuits to explore the characteristics of memcapacitor- and meminductor-based nonlinear circuits is meaningful. In this paper, a nonlinear oscillating circuit is designed based on the given nonvolatile memcapacitor and meminductor models, whose memory characteristics are analyzed using POP method in detail, and a series of dynamic characteristics of the novel chaotic circuit are analyzed, including Poincaré section, equilibrium point, system stability, bifurcation diagrams, Lyapunov exponent spectrums and dynamic map of the system. By analyzing the influence of parameters on system dynamics, the evolutionary law of the system is obtained, which helps to better use of this chaotic oscillator in possible application areas like communication encryption and synchronization approach dependent on the initial setting. In particular, coexisting attractors are found under different initial values, by drawing the attractive basin, four different types of attractors in the system are discovered, and from the attractive basin, the evolutionary process of the system under different initial values is obtained. Finally, the validity of the system is verified by DSP experiment, and the experimental results are consistent with the theoretical analysis.

KW - Chaos

KW - Chaotic oscillator

KW - Coexisting attractors

KW - Memcapacitor

KW - Meminductor

UR - http://www.scopus.com/inward/record.url?scp=85060978174&partnerID=8YFLogxK

U2 - 10.1007/s11071-019-04781-5

DO - 10.1007/s11071-019-04781-5

M3 - Article

VL - 96

SP - 161

EP - 173

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 1

ER -