On the dynamics and control of a new fractional difference chaotic map

DOI10.1515/ijnsns-2019-0004OpenAlexW3171653625MaRDI QIDQ2142762

Samir Bendoukha

Publication date: 27 May 2022

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2019-0004

zbMATH Keywords

bifurcationsynchronizationdiscrete chaosfractional discrete calculusHénon based maps

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)

Cites Work

• Principles of delta fractional calculus on time scales and inequalities
• On Riemann and Caputo fractional differences
• A two-dimensional mapping with a strange attractor
• Chaos synchronization of fractional chaotic maps based on the stability condition
• Generalized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensions
• Complex dynamics in generalized Hénon map
• On explicit stability conditions for a linear fractional difference system
• Fractional chaotic maps with \(q\)-deformation
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• On stability of fixed points and chaos in fractional systems
• Deterministic Nonperiodic Flow
• Synchronization in chaotic systems
• Logistic map as a block encryption algorithm

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