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...
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2019-02-01
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Online Access: | https://www.mdpi.com/1099-4300/21/2/188 |
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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 |