A new fractional-order hyperchaotic system and its modified projective synchronization

DOI10.1016/j.chaos.2015.04.003zbMath1352.34059OpenAlexW2083410241MaRDI QIDQ727837

Chenghua Liang, Haiying Yuan, Qiqi Wu, Yuan Gao

Publication date: 21 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.04.003

zbMATH Keywords

fractional-order systemelectronic circuitautonomous hyperchaotic systemfour-dimensional hyperchaotic system

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (8)

Systematic construction of high dimensional fractional-order hyperchaotic systems ⋮ Design of fractional-order hyperchaotic systems with maximum number of positive lyapunov exponents and their antisynchronisation using adaptive control ⋮ The nature of Lyapunov exponents is \((+,+,-,-)\). Is it a hyperchaotic system? ⋮ Dynamical study of a novel 4D hyperchaotic system: an integer and fractional order analysis ⋮ Generation of a family of fractional order hyper-chaotic multi-scroll attractors ⋮ A Technique for Studying a Class of Fractional-Order Nonlinear Dynamical Systems ⋮ Unnamed Item ⋮ Fractional-order chaotic systems with hidden attractors

Cites Work

• Unnamed Item
• Unnamed Item
• Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach
• Modified projective synchronization of uncertain fractional order hyperchaotic systems
• Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems
• Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form
• Sliding mode control for uncertain new chaotic dynamical system
• Controlling general projective synchronization of fractional order Rössler systems
• A necessary condition for double scroll attractor existence in fractional-order systems
• Modified projective synchronization of chaotic systems with disturbances via active sliding mode control
• A numerical scheme for the solution of multi-order fractional differential equations
• Chaotic attractors in incommensurate fractional order systems
• Chaos in the fractional order unified system and its synchronization
• Sliding mode synchronization of an uncertain fractional order chaotic system
• Generalized projective synchronization of the fractional-order Chen hyperchaotic system
• Determining Lyapunov exponents from a time series
• A new chaotic attractor
• Chaos in Chen's system with a fractional order
• A secure communication scheme using projective chaos synchronization
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Adaptive backstepping synchronization of uncertain chaotic system
• Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems
• Adaptive control for modified projective synchronization of a four-dimensional chaotic system with uncertain parameters
• Modified projective synchronization of chaotic system
• An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
• Adaptive sliding mode control of chaotic dynamical systems with application to synchronization
• Phase synchronization in the forced Lorenz system
• Linear approximation of transfer function with a pole of fractional power
• Sliding controller design for non-linear systems
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER HYPERCHAOTIC LORENZ SYSTEM
• Feedback Anticontrol of Discrete Chaos
• Analysis of fractional differential equations

This page was built for publication: A new fractional-order hyperchaotic system and its modified projective synchronization