Complex Dynamics in a Memcapacitor-Based Circuit

In this paper, a new memcapacitor model and its corresponding circuit emulator are proposed, based on which, a chaotic oscillator is designed and the system dynamic characteristics are investigated, both analytically and experimentally. Extreme multistability and coexisting attractors are observed i...

Full description

Bibliographic Details
Main Authors: Fang Yuan, Yuxia Li, Guangyi Wang, Gang Dou, Guanrong Chen
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/2/188
id doaj-b7a37a8342024ec7812131194b490b29
record_format Article
spelling doaj-b7a37a8342024ec7812131194b490b292020-11-25T01:06:41ZengMDPI AGEntropy1099-43002019-02-0121218810.3390/e21020188e21020188Complex Dynamics in a Memcapacitor-Based CircuitFang Yuan0Yuxia Li1Guangyi Wang2Gang Dou3Guanrong Chen4College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaInstitute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaDepartment of Electronic Engineering, City University Hong Kong, Hong Kong 999077, ChinaIn this paper, a new memcapacitor model and its corresponding circuit emulator are proposed, based on which, a chaotic oscillator is designed and the system dynamic characteristics are investigated, both analytically and experimentally. Extreme multistability and coexisting attractors are observed in this complex system. The basins of attraction, multistability, bifurcations, Lyapunov exponents, and initial-condition-triggered similar bifurcation are analyzed. Finally, the memcapacitor-based chaotic oscillator is realized via circuit implementation with experimental results presented.https://www.mdpi.com/1099-4300/21/2/188chaosmemcapacitorextreme multistabilitycircuit emulatorcomplex dynamics
collection DOAJ
language English
format Article
sources DOAJ
author Fang Yuan
Yuxia Li
Guangyi Wang
Gang Dou
Guanrong Chen
spellingShingle Fang Yuan
Yuxia Li
Guangyi Wang
Gang Dou
Guanrong Chen
Complex Dynamics in a Memcapacitor-Based Circuit
Entropy
chaos
memcapacitor
extreme multistability
circuit emulator
complex dynamics
author_facet Fang Yuan
Yuxia Li
Guangyi Wang
Gang Dou
Guanrong Chen
author_sort Fang Yuan
title Complex Dynamics in a Memcapacitor-Based Circuit
title_short Complex Dynamics in a Memcapacitor-Based Circuit
title_full Complex Dynamics in a Memcapacitor-Based Circuit
title_fullStr Complex Dynamics in a Memcapacitor-Based Circuit
title_full_unstemmed Complex Dynamics in a Memcapacitor-Based Circuit
title_sort complex dynamics in a memcapacitor-based circuit
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2019-02-01
description In this paper, a new memcapacitor model and its corresponding circuit emulator are proposed, based on which, a chaotic oscillator is designed and the system dynamic characteristics are investigated, both analytically and experimentally. Extreme multistability and coexisting attractors are observed in this complex system. The basins of attraction, multistability, bifurcations, Lyapunov exponents, and initial-condition-triggered similar bifurcation are analyzed. Finally, the memcapacitor-based chaotic oscillator is realized via circuit implementation with experimental results presented.
topic chaos
memcapacitor
extreme multistability
circuit emulator
complex dynamics
url https://www.mdpi.com/1099-4300/21/2/188
work_keys_str_mv AT fangyuan complexdynamicsinamemcapacitorbasedcircuit
AT yuxiali complexdynamicsinamemcapacitorbasedcircuit
AT guangyiwang complexdynamicsinamemcapacitorbasedcircuit
AT gangdou complexdynamicsinamemcapacitorbasedcircuit
AT guanrongchen complexdynamicsinamemcapacitorbasedcircuit
_version_ 1725188731883749376