Tri-valued memristor-based hyper-chaotic system with hidden and coexistent attractors. (June 2022)
- Record Type:
- Journal Article
- Title:
- Tri-valued memristor-based hyper-chaotic system with hidden and coexistent attractors. (June 2022)
- Main Title:
- Tri-valued memristor-based hyper-chaotic system with hidden and coexistent attractors
- Authors:
- Wang, Xiaoyuan
Gao, Meng
Iu, Herbert Ho-Ching
Wang, Chunhua - Abstract:
- Abstract: Recently, the nonlinear dynamics of memristor has attracted much attention. In this paper, a novel four-dimensional hyper-chaotic system (4D-HCS) based on a tri-valued memristor is found. Theoretical analysis shows that the 4D-HCS has complex hyper-chaotic dynamics such as hidden attractors and coexistent attractors. We also experimentally analyze the dynamics behaviors of the 4D-HCS in aspects of the phase diagram, bifurcation diagram, Lyapunov exponential spectrum, power spectrum and the correlation coefficient. To rigorously verify the chaotic behavior, we analyze the topological horseshoe of the system and calculate the topological entropy. In addition, the comparison with binary-valued memristor-based chaotic system shows that a chaotic system with a tri-valued memristor can generate hyper-chaos and coexistent attractors, while the one with a binary-valued memristor cannot. This finding suggests that applying three- or multi-value memristors in chaotic circuits can produce more complex dynamic properties than binary-valued memristors. To show the easy implementation of the 4D-HCS, we implement the 4D-HCS in an analogue circuit-based hardware platform, and the implementation results are consistent with the theoretical analysis. Finally, using the 4D-HCS, we design a pseudorandom number generator to explore its potential application in cryptography.
- Is Part Of:
- Chaos, solitons and fractals. Volume 159(2022)
- Journal:
- Chaos, solitons and fractals
- Issue:
- Volume 159(2022)
- Issue Display:
- Volume 159, Issue 2022 (2022)
- Year:
- 2022
- Volume:
- 159
- Issue:
- 2022
- Issue Sort Value:
- 2022-0159-2022-0000
- Page Start:
- Page End:
- Publication Date:
- 2022-06
- Subjects:
- Tri-valued memristor -- Hyper-chaos -- Hidden attractor -- Coexistent attractor -- Pseudorandom number generator
Chaotic behavior in systems -- Periodicals
Solitons -- Periodicals
Fractals -- Periodicals
Chaotic behavior in systems
Fractals
Solitons
Periodicals
003.7 - Journal URLs:
- http://www.elsevier.com/journals ↗
http://www.sciencedirect.com/science/journal/09600779 ↗ - DOI:
- 10.1016/j.chaos.2022.112177 ↗
- Languages:
- English
- ISSNs:
- 0960-0779
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3129.716000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 21561.xml