Horseshoe Chaos in a Simple Memristive Circuit
A simple memristive circuit model is revisited and the stability analysis is to be given. Furthermore, we resort to Poincaré section and Poincaré map technique and present rigorous computer-assisted verification of horseshoe chaos by virtue of topological horseshoe theory.
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2014-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2014/546091 |
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doaj-b21ba79f653f4ae396163c29b4643d992020-11-24T23:01:59ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/546091546091Horseshoe Chaos in a Simple Memristive CircuitLei Wang0XiaoSong Yang1WenJie Hu2Quan Yuan3School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaA simple memristive circuit model is revisited and the stability analysis is to be given. Furthermore, we resort to Poincaré section and Poincaré map technique and present rigorous computer-assisted verification of horseshoe chaos by virtue of topological horseshoe theory.http://dx.doi.org/10.1155/2014/546091 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Lei Wang XiaoSong Yang WenJie Hu Quan Yuan |
spellingShingle |
Lei Wang XiaoSong Yang WenJie Hu Quan Yuan Horseshoe Chaos in a Simple Memristive Circuit Journal of Applied Mathematics |
author_facet |
Lei Wang XiaoSong Yang WenJie Hu Quan Yuan |
author_sort |
Lei Wang |
title |
Horseshoe Chaos in a Simple Memristive Circuit |
title_short |
Horseshoe Chaos in a Simple Memristive Circuit |
title_full |
Horseshoe Chaos in a Simple Memristive Circuit |
title_fullStr |
Horseshoe Chaos in a Simple Memristive Circuit |
title_full_unstemmed |
Horseshoe Chaos in a Simple Memristive Circuit |
title_sort |
horseshoe chaos in a simple memristive circuit |
publisher |
Hindawi Limited |
series |
Journal of Applied Mathematics |
issn |
1110-757X 1687-0042 |
publishDate |
2014-01-01 |
description |
A simple memristive circuit model is revisited and the stability analysis
is to be given. Furthermore, we resort to Poincaré section and Poincaré map technique and present
rigorous computer-assisted verification of horseshoe chaos by virtue of topological horseshoe
theory. |
url |
http://dx.doi.org/10.1155/2014/546091 |
work_keys_str_mv |
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1725638032418144256 |