Modeling and Characterization of a Fractional Lorenz Chaotic Variant with the Infinite State Representation

In this paper, the infinite state representation is applied to model a fractional variant of the Lorenz chaotic system. Thanks to a finite dimension approximation, the original fractional order system is converted into a large dimension set of integer order nonlinear differential equations whose ini...

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Bibliographic Details
Main Authors: Maamri, N., Trigeassou, J.C.
Format: Conference Proceeding
Language:English
Subjects:
Chaotic communication
Differential equations
fractional chaos
fractional initialization
infinite-state representation
Linear algebra
Lyapunov exponents
Mathematical models
Numerical analysis
Riemann-Liouville integrator
Sensitivity
Synchronization
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Summary:In this paper, the infinite state representation is applied to model a fractional variant of the Lorenz chaotic system. Thanks to a finite dimension approximation, the original fractional order system is converted into a large dimension set of integer order nonlinear differential equations whose initial conditions permit to test the sensitivity of the equivalent chaotic system. This sensitivity is quantified thanks to Lyapunov exponents which are computed with an experimental technique and the Gram-Schmidt algorithm.
ISSN:2379-0067
DOI:10.1109/ICSC58660.2023.10449877