Control and synchronization of the fractional-order Lorenz chaotic system via fractional-order derivative

DOI10.1155/2012/214169zbMath1264.93214OpenAlexW2005451949WikidataQ58911301 ScholiaQ58911301MaRDI QIDQ1954540

Rui Ding, Ping Zhou

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/214169

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (4)

Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems ⋮ Stability and stabilizing of fractional complex Lorenz systems ⋮ Active sliding mode for synchronization of a wide class of four-dimensional fractional-order chaotic systems ⋮ A new method for parameter sensitivity analysis of Lorenz equations

Cites Work

• Unnamed Item
• Unnamed Item
• Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems
• A novel control method for integer orders chaos systems via fractional-order derivative
• Chaos control via a simple fractional-order controller
• Dynamic analysis of a fractional-order Lorenz chaotic system
• Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system
• Phase and anti-phase synchronization of fractional order chaotic systems via active control
• Projective synchronization of chaotic fractional-order energy resources demand-supply systems via linear control
• Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• Phase synchronization in coupled Sprott chaotic systems presented by fractional differential equations
• Chaos in Chen's system with a fractional order
• Chaotic incommensurate fractional order Rössler system: active control and synchronization
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Analysis of fractional differential equations

This page was built for publication: Control and synchronization of the fractional-order Lorenz chaotic system via fractional-order derivative