Multistable Systems with Hidden and Self-Excited Scroll Attractors Generated via Piecewise Linear Systems
Joint Authors
Campos-Cantón, E.
Escalante-González, R. J.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this work, we present an approach to design a multistable system with one-directional (1D), two-directional (2D), and three-directional (3D) hidden multiscroll attractor by defining a vector field on ℝ3 with an even number of equilibria.
The design of multistable systems with hidden attractors remains a challenging task.
Current design approaches are not as flexible as those that focus on self-excited attractors.
To facilitate a design of hidden multiscroll attractors, we propose an approach that is based on the existence of self-excited double-scroll attractors and switching surfaces whose relationship with the local manifolds associated to the equilibria lead to the appearance of the hidden attractor.
The multistable systems produced by the approach could be explored for potential applications in cryptography, since the number of attractors can be increased by design in multiple directions while preserving the hidden attractor allowing a bigger key space.
American Psychological Association (APA)
Escalante-González, R. J.& Campos-Cantón, E.. 2020. Multistable Systems with Hidden and Self-Excited Scroll Attractors Generated via Piecewise Linear Systems. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1143915
Modern Language Association (MLA)
Escalante-González, R. J.& Campos-Cantón, E.. Multistable Systems with Hidden and Self-Excited Scroll Attractors Generated via Piecewise Linear Systems. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1143915
American Medical Association (AMA)
Escalante-González, R. J.& Campos-Cantón, E.. Multistable Systems with Hidden and Self-Excited Scroll Attractors Generated via Piecewise Linear Systems. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1143915
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143915