FRACTIONAL-ORDER CHAOS: A NOVEL FOUR-WING ATTRACTOR IN COUPLED LORENZ SYSTEMS
From MaRDI portal
Publication:5305128
DOI10.1142/S0218127409024785zbMath1182.34003MaRDI QIDQ5305128
Donato Cafagna, Giuseppe Grassi
Publication date: 19 March 2010
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Adomian decomposition methodfractional-order chaotic systemscoupled Lorenz systemsmulti-wing attractors
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Fractional ordinary differential equations (34A08)
Related Items
Dynamics, synchronization and circuit implementation of a simple fractional-order chaotic system with hidden attractors ⋮ A four-wing hyper-chaotic attractor generated from a 4-D memristive system with a line equilibrium ⋮ Magnetic induction can control the effect of external electrical stimuli on the spiral wave ⋮ Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form ⋮ A novel non-equilibrium fractional-order chaotic system and its complete synchronization by circuit implementation ⋮ Generating Multiple Chaotic Attractors from Sprott B System
Uses 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
- Analysis and circuit implementation of a new 4D chaotic system
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Numerical solutions for systems of fractional differential equations by the decomposition method
- Chaos in Chen's system with a fractional order
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Practical implementation of nonlinear time series methods: The <scp>TISEAN</scp> package
- A new test for chaos in deterministic systems
- Hyperchaotic Coupled Chua Circuits: An Approach for Generating New n×m-Scroll Attractors
- 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
- GENERATION OF A FOUR-WING CHAOTIC ATTRACTOR BY TWO WEAKLY-COUPLED LORENZ SYSTEMS
- Fractal system as represented by singularity function
- Deterministic Nonperiodic Flow
- A NEW CHAOTIC SYSTEM AND BEYOND: THE GENERALIZED LORENZ-LIKE SYSTEM
- DECOMPOSITION METHOD FOR STUDYING SMOOTH CHUA'S EQUATION WITH APPLICATION TO HYPERCHAOTIC MULTISCROLL ATTRACTORS
- Creation of a complex butterfly attractor using a novel Lorenz-Type system
- FOUR-WING ATTRACTORS: FROM PSEUDO TO REAL
- A review of the decomposition method and some recent results for nonlinear equations
