Synchronization of fractional-order hyperchaotic systems via fractional-order controllers

DOI10.1155/2014/408972zbMath1419.34164OpenAlexW1992159201WikidataQ59039122 ScholiaQ59039122MaRDI QIDQ2321393

Yong Yang, Yu Wang, Tian-zeng Li

Publication date: 23 August 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/408972

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (7)

Synchronization of different order fractional-order chaotic systems using modify adaptive sliding mode control ⋮ A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation ⋮ A new 4-D hyper chaotic system generated from the 3-D Rössler chaotic system, dynamical analysis, chaos stabilization via an optimized linear feedback control, it's fractional order model and chaos synchronization using optimized fractional order sliding mode control ⋮ A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation ⋮ On the convergence of a new reliable algorithm for solving multi-order fractional differential equations ⋮ Numerical solutions of variable order time fractional \((1+1)\)- and \((1+2)\)-dimensional advection dispersion and diffusion models ⋮ Stability of a class of fractional-order nonlinear systems

Uses Software

• sysdfod
• DFOC

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• An equation for hyperchaos
• A necessary condition for double scroll attractor existence in fractional-order systems
• Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control
• A new hyperchaotic system and its synchronization
• Controlling hyperchaos in hyperchaotic Lorenz system using feedback controllers
• Chaos in Chen's system with a fractional order
• Chaos in the fractional order Chen system and its control
• Adaptive synchronization between two different hyperchaotic systems
• Linear approximation of transfer function with a pole of fractional power
• HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS
• Hyperchaotic behaviour of two bi-directionally coupled Chua's circuits
• Controlling hyperchaos of the Rossler system
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Deterministic Nonperiodic Flow
• Loss of synchronization of coupled Rössler systems
• Chaos-hyperchaos transition in coupled Rössler systems

This page was built for publication: Synchronization of fractional-order hyperchaotic systems via fractional-order controllers