Generalized projective synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal

DOI10.1016/j.physleta.2008.01.061zbMath1220.34060OpenAlexW2089890118MaRDI QIDQ637938

Guojun Peng, Yao-Lin Jiang

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.01.061

zbMATH Keywords

chaosfractional-ordergeneralized projective synchronization

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Fractional derivatives and integrals (26A33) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (20)

Adaptive sliding mode controller design for projective synchronization of different chaotic systems with uncertain terms and external bounded disturbances ⋮ Chaotic synchronization between different fractional-order chaotic systems ⋮ Inverse projective synchronization between two different hyperchaotic systems with fractional order ⋮ A novel non-equilibrium fractional-order chaotic system and its complete synchronization by circuit implementation ⋮ Observer-based projective synchronization of fractional systems via a scalar signal: application to hyperchaotic Rössler systems ⋮ Adaptive projective synchronization between two different fractional-order chaotic systems with fully unknown parameters ⋮ A robust method for new fractional hybrid chaos synchronization ⋮ A Study on Coexistence of Different Types of Synchronization Between Different Dimensional Fractional Chaotic Systems ⋮ On New Fractional Inverse Matrix Projective Synchronization Schemes ⋮ Fractional Inverse Generalized Chaos Synchronization Between Different Dimensional Systems ⋮ Synchronization of a new fractional-order hyperchaotic system ⋮ ROTATING SYNCHRONIZATION IN THREE-DIMENSIONAL CHAOTIC SYSTEMS ⋮ Convergence speed of a fractional order consensus algorithm over undirected scale‐free networks ⋮ Hybrid projective synchronization for two identical fractional-order chaotic systems ⋮ Chaos synchronization in fractional differential systems ⋮ Can derivative determine the dynamics of fractional-order chaotic system? ⋮ Identification of chaos in fractional chaotic map ⋮ PROJECTIVE SYNCHRONIZATION IN CHAOTIC COMPLEX SYSTEM WITH TIME DELAY ⋮ HIGH PRECISION FAST PROJECTIVE SYNCHRONIZATION FOR CHAOTIC SYSTEMS WITH UNKNOWN PARAMETERS ⋮ PROJECTIVE SYNCHRONIZATION OF TWO DIFFERENT DIMENSIONAL NONLINEAR SYSTEMS

Uses Software

• Sprott's Software

Cites Work

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• Synchronization of fractional order chaotic systems
• Synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal
• Asymptotic chaos
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• The synchronization of chaotic systems
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Generalized projective synchronization of a unified chaotic system
• Linear approximation of transfer function with a pole of fractional power
• Stability criterion for projective synchronization in three-dimensional chaotic systems

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