Infinitely many hidden attractors in a new fractional-order chaotic system based on a fracmemristor

Memristor and fractional-order derivatives are feasible options for constructing new systems with complex dynamics. This paper presents a new fractional-order chaotic system based on a fractional-order memristor (fracmemristor). It is worth noting that this chaotic system based on a fracmemristor do...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2019-10, Vol.228 (10), p.2185-2196
Main Author: Muñoz-Pacheco, Jesus M.
Format: Article
Language:English
Subjects:
Atomic
Bifurcations
Chaos theory
Classical and Continuum Physics
Condensed Matter Physics
Dynamics and Applications
Liapunov exponents
Materials Science
Measurement Science and Instrumentation
Memristor-based Systems: Nonlinearity
Memristors
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
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Summary:Memristor and fractional-order derivatives are feasible options for constructing new systems with complex dynamics. This paper presents a new fractional-order chaotic system based on a fractional-order memristor (fracmemristor). It is worth noting that this chaotic system based on a fracmemristor does not have any equilibrium points but generates infinitely many hidden chaotic attractors and other dynamical behaviors. Systematic studies of the hidden chaotic behavior in the proposed system are performed using phase portraits, bifurcation diagrams, Lyapunov exponents, and riddled basins of attraction.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2019-900035-y