Fractional-order attractors synthesis via parameter switchings

DOI10.1016/j.cnsns.2010.01.011zbMath1222.37107OpenAlexW2087181022WikidataQ58797446 ScholiaQ58797446MaRDI QIDQ720282

Marius-F. Danca, Kai Diethelm

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.01.011

zbMATH Keywords

numerical methodschaotic attractorCaputo derivativefractional differential equationfractional Lü system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractional derivatives and integrals (26A33) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractional ordinary differential equations (34A08)

Related Items (11)

Bounded nonlinear functional derived by the generalized Srivastava-Owa fractional differential operator ⋮ Approximating hidden chaotic attractors via parameter switching ⋮ Controllability criteria for linear fractional differential systems with state delay and impulses ⋮ Modeling numerically the Rikitake's attractors by parameter switching ⋮ Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion ⋮ Synthesizing attractors of Hindmarsh-Rose neuronal systems ⋮ Eigenvalue problem of nonlinear semipositone higher order fractional differential equations ⋮ Fractional difference equations with real variable ⋮ Parameter switching in a generalized Duffing system: finding the stable attractors ⋮ Finding attractors of continuous-time systems by parameter switching ⋮ Dynamical analysis of the global warming

Uses Software

• Fractional Order Chaotic Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional Order Chaotic Systems
• A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter
• A switching scheme for synthesizing attractors of dissipative chaotic systems
• Chaos in the fractional-order Volta's system: modeling and simulation
• On the concept of attractor
• Infinite-dimensional dynamical systems in mechanics and physics
• Detailed error analysis for a fractional Adams method
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Anlogue realizations of fractional-order controllers.
• On the fractional-order logistic equation
• Linear approximation of transfer function with a pole of fractional power
• Shape and Morse theory of attractors
• BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
• On the numerical algebraic approximation of global attractors
• Random parameter-switching synthesis of a class of hyperbolic attractors
• Stability Preservation Analysis for Frequency-Based Methods in Numerical Simulation of Fractional Order Systems

This page was built for publication: Fractional-order attractors synthesis via parameter switchings