Extreme Multistability in Simple Area-Preserving Map
Initial condition-relied extreme multistability has been recently found in many continuous dynamical systems. However, such a specific phenomenon has not yet been discovered in a discrete iterative map. To investigate this phenomenon, this paper proposes a two-dimensional conservative map only with...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9205797/ |
| id |
doaj-9d149c2b84df4fc8bca08badd30c6e5c |
|---|---|
| record_format |
Article |
| spelling |
doaj-9d149c2b84df4fc8bca08badd30c6e5c2021-03-30T04:02:18ZengIEEEIEEE Access2169-35362020-01-01817597217598010.1109/ACCESS.2020.30266769205797Extreme Multistability in Simple Area-Preserving MapHouzhen Li0https://orcid.org/0000-0002-0954-2389Han Bao1https://orcid.org/0000-0002-2329-6890Lei Zhu2https://orcid.org/0000-0002-2742-0350Bocheng Bao3https://orcid.org/0000-0001-6413-3038Mo Chen4https://orcid.org/0000-0003-1841-7608School of Microelectronics and Control Engineering, Changzhou University, Changzhou, ChinaSchool of Microelectronics and Control Engineering, Changzhou University, Changzhou, ChinaSchool of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, ChinaSchool of Microelectronics and Control Engineering, Changzhou University, Changzhou, ChinaSchool of Microelectronics and Control Engineering, Changzhou University, Changzhou, ChinaInitial condition-relied extreme multistability has been recently found in many continuous dynamical systems. However, such a specific phenomenon has not yet been discovered in a discrete iterative map. To investigate this phenomenon, this paper proposes a two-dimensional conservative map only with one sine nonlinearity. The proposed simple discrete map is area-preserving in the phase space and displays the coexistence of infinite chaotic and quasi-periodic orbits caused by infinite fixed points. Multiple numerical results indicate that the area-preserving chaotic and quasi-periodic orbits have the initial condition-relied quasi-periodic route to chaos and initial condition-boosting bifurcation dynamics, which allow the simple area-preserving map to emerge the complex phenomenon of extreme multistability. Furthermore, a microcontroller-based hardware platform is developed to implement the initial condition-boosting chaotic signals.https://ieeexplore.ieee.org/document/9205797/Area-preserving mapinitial conditionextreme multistabilityquasi-periodic route |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Houzhen Li Han Bao Lei Zhu Bocheng Bao Mo Chen |
| spellingShingle |
Houzhen Li Han Bao Lei Zhu Bocheng Bao Mo Chen Extreme Multistability in Simple Area-Preserving Map IEEE Access Area-preserving map initial condition extreme multistability quasi-periodic route |
| author_facet |
Houzhen Li Han Bao Lei Zhu Bocheng Bao Mo Chen |
| author_sort |
Houzhen Li |
| title |
Extreme Multistability in Simple Area-Preserving Map |
| title_short |
Extreme Multistability in Simple Area-Preserving Map |
| title_full |
Extreme Multistability in Simple Area-Preserving Map |
| title_fullStr |
Extreme Multistability in Simple Area-Preserving Map |
| title_full_unstemmed |
Extreme Multistability in Simple Area-Preserving Map |
| title_sort |
extreme multistability in simple area-preserving map |
| publisher |
IEEE |
| series |
IEEE Access |
| issn |
2169-3536 |
| publishDate |
2020-01-01 |
| description |
Initial condition-relied extreme multistability has been recently found in many continuous dynamical systems. However, such a specific phenomenon has not yet been discovered in a discrete iterative map. To investigate this phenomenon, this paper proposes a two-dimensional conservative map only with one sine nonlinearity. The proposed simple discrete map is area-preserving in the phase space and displays the coexistence of infinite chaotic and quasi-periodic orbits caused by infinite fixed points. Multiple numerical results indicate that the area-preserving chaotic and quasi-periodic orbits have the initial condition-relied quasi-periodic route to chaos and initial condition-boosting bifurcation dynamics, which allow the simple area-preserving map to emerge the complex phenomenon of extreme multistability. Furthermore, a microcontroller-based hardware platform is developed to implement the initial condition-boosting chaotic signals. |
| topic |
Area-preserving map initial condition extreme multistability quasi-periodic route |
| url |
https://ieeexplore.ieee.org/document/9205797/ |
| work_keys_str_mv |
AT houzhenli extrememultistabilityinsimpleareapreservingmap AT hanbao extrememultistabilityinsimpleareapreservingmap AT leizhu extrememultistabilityinsimpleareapreservingmap AT bochengbao extrememultistabilityinsimpleareapreservingmap AT mochen extrememultistabilityinsimpleareapreservingmap |
| _version_ |
1724182435682320384 |