The effects of fractional order on a 3-D quadratic autonomous system with four-wing attractor

DOI10.1007/s11071-010-9705-7zbMath1209.34060OpenAlexW2060509895WikidataQ56945575 ScholiaQ56945575MaRDI QIDQ619536

Barend Jacobus Van Wyk, Guo-Yuan Qi, Yan-Xia Sun, Zeng-Hui Wang

Publication date: 25 January 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9705-7

zbMATH Keywords

chaosbifurcationLyapunov exponentfractional orderfour-wing attractor

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

Related Items (7)

A multi-wing spherical chaotic system using fractal process ⋮ Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique ⋮ Synchronization of nonidentical chaotic fractional-order systems with different orders of fractional derivatives ⋮ Synchronization and stabilization of fractional second-order nonlinear complex systems ⋮ A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems ⋮ A speech encryption using fractional chaotic systems ⋮ Unnamed Item

Uses Software

• Sprott's Software
• Fractional Order Chaotic Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A necessary condition for double scroll attractor existence in fractional-order systems
• Fractional control of heat diffusion systems
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• Limitations of frequency domain approximation for detecting chaos in fractional order systems
• A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system
• Chaos in the fractional-order Volta's system: modeling and simulation
• Polynomial operators, Stieltjes convolution, and fractional calculus in hereditary mechanics
• Determining Lyapunov exponents from a time series
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Chaos in fractional-order autonomous nonlinear systems.
• Stock market context of the Lévy walks with varying velocity
• Inverse statistics in economics: the gain-loss asymmetry
• Short memory principle and a predictor-corrector approach for fractional differential equations
• Numerical algorithm for the time fractional Fokker-Planck equation
• Linear approximation of transfer function with a pole of fractional power
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• The double scroll family
• Stability of viscoelastic control systems
• Fractal system as represented by singularity function
• Shil'nikov's theorem-a tutorial
• Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
• Design and Analysis of Multiscroll Chaotic Attractors From Saturated Function Series

This page was built for publication: The effects of fractional order on a 3-D quadratic autonomous system with four-wing attractor