AN EFFECTIVE METHOD FOR DETECTING CHAOS IN FRACTIONAL-ORDER SYSTEMS

DOI10.1142/S0218127410025958zbMath1193.34086OpenAlexW1978215942MaRDI QIDQ3586803

Giuseppe Grassi, Donato Cafagna

Publication date: 1 September 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410025958

zbMATH Keywords

Adomian decomposition methodfractional-order systemsfractional-order Chua's circuitbinary test for detecting fractional chaosfractional-order Chen systemfractional-order Lorenz system

Mathematics Subject Classification ID

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)

Related Items

Magnetic induction can control the effect of external electrical stimuli on the spiral wave, Chaos and mixed synchronization of a new fractional-order system with one saddle and two stable node-foci, Chaos detection and parameter identification in fractional-order chaotic systems with delay, Investigation of chaos and memory effects in the Bonhoeffer-van der Pol oscillator with a non-ideal capacitor, Infinite line of equilibriums in a novel fractional map with coexisting infinitely many attractors and initial offset boosting, Elegant chaos in fractional-order system without equilibria, Rich dynamics in some generalized difference equations, Dynamics of a class of fractional-order nonautonomous Lorenz-type systems, Characteristic analysis of fractional-order 4D hyperchaotic memristive circuit, Chaos in a new fractional-order system without equilibrium points, A proof for the existence of chaos in diffusively coupled map lattices with open boundary conditions, Characteristic Analysis and DSP Realization of Fractional-Order Simplified Lorenz System Based on Adomian Decomposition Method, NONSMOOTH BIFURCATIONS, TRANSIENT HYPERCHAOS AND HYPERCHAOTIC BEATS IN A MEMRISTIVE MURALI–LAKSHMANAN–CHUA CIRCUIT

Uses Software

• Sprott's Software

Cites Work

• Unnamed Item
• The evolution of chaotic dynamics for fractional unified system
• Adomian decomposition: a tool for solving a system of fractional differential equations
• A note on the fractional-order Chen system
• State space reconstruction in the presence of noise
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Chaos in fractional-order autonomous nonlinear systems.
• Chaos in the fractional order Chen system and its control
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Chaotic dynamics and synchronization of fractional-order Arneodo's systems
• Testing for chaos in deterministic systems with noise
• Euclidean extensions of dynamical systems
• CHUA’S EQUATION WITH CUBIC NONLINEARITY
• A new test for chaos in deterministic systems
• Linear approximation of transfer function with a pole of fractional power
• FRACTIONAL-ORDER CHUA'S CIRCUIT: TIME-DOMAIN ANALYSIS, BIFURCATION, CHAOTIC BEHAVIOR AND TEST FOR CHAOS
• BIFURCATION AND CHAOS IN THE FRACTIONAL-ORDER CHEN SYSTEM VIA A TIME-DOMAIN APPROACH
• Fractal system as represented by singularity function
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• STATISTICAL PROPERTIES OF ENDOMORPHISMS AND COMPACT GROUP EXTENSIONS
• Nonlinear Time Series Analysis
• DECOMPOSITION METHOD FOR STUDYING SMOOTH CHUA'S EQUATION WITH APPLICATION TO HYPERCHAOTIC MULTISCROLL ATTRACTORS
• A FAST AND SIMPLE IMPLEMENTATION OF CHUA'S OSCILLATOR WITH CUBIC-LIKE NONLINEARITY
• Subexponential decay of correlations for compact group extensions of non-uniformly expanding systems