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.

Bibliographic Details
Main Authors: Lei Wang, XiaoSong Yang, WenJie Hu, Quan Yuan
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/546091
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spelling 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 AT leiwang horseshoechaosinasimplememristivecircuit
AT xiaosongyang horseshoechaosinasimplememristivecircuit
AT wenjiehu horseshoechaosinasimplememristivecircuit
AT quanyuan horseshoechaosinasimplememristivecircuit
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