Design and implementation of grid multi-scroll fractional-order chaotic attractors

DOI10.1063/1.4958717zbMath1378.34009OpenAlexW2489686368WikidataQ50588416 ScholiaQ50588416MaRDI QIDQ4601343

António M. Lopes, Wei Pan, José António Tenreiro Machado, Ran Chao Wu, Li-Ping Chen

Publication date: 15 January 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.22/9418

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Attractors of solutions to ordinary differential equations (34D45) Fractional ordinary differential equations (34A08)

Related Items (10)

Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator ⋮ Chaos suppression in fractional systems using adaptive fractional state feedback control ⋮ Stability and stabilization of a class of fractional-order nonlinear systems for \(0<\alpha< 2\) ⋮ ANALYSIS OF HIDDEN ATTRACTORS OF NON-EQUILIBRIUM FRACTAL-FRACTIONAL CHAOTIC SYSTEM WITH ONE SIGNUM FUNCTION ⋮ Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems ⋮ Generation of a family of fractional order hyper-chaotic multi-scroll attractors ⋮ Synchronization of fractional chaotic complex networks with delays ⋮ Fractional-order shifted Legendre collocation method for solving non-linear variable-order fractional Fredholm integro-differential equations ⋮ Design of multi-wing chaotic systems with higher largest Lyapunov exponent ⋮ Fractional-order multiwing switchable chaotic system with a wide range of parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional dynamical system and its linearization theorem
• Generating multi-scroll chaotic attractors via switched fractional systems
• Generating 3-D multi-scroll chaotic attractors: a hysteresis series switching method
• Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Chaos control. Theory and applications
• Chaos in Chen's system with a fractional order
• Chaos in the fractional order periodically forced complex Duffing's oscillators
• Switching control: from simple rules to complex chaotic systems
• Generation and control of multi-scroll chaotic attractors in fractional order systems
• Fractional calculus and its applications
• Chaos synchronization in fractional differential systems
• Equivalent system for a multiple-rational-order fractional differential system
• SIMPLEST 3D CONTINUOUS-TIME QUADRATIC SYSTEMS AS CANDIDATES FOR GENERATING MULTISCROLL CHAOTIC ATTRACTORS
• Integer and Fractional Order Multiwing Chaotic Attractors via the Chen System and the Lü System with Switching Controls
• Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control
• GENERATING 3-D SCROLL GRID ATTRACTORS OF FRACTIONAL DIFFERENTIAL SYSTEMS VIA STAIR FUNCTION
• FRACTIONAL-ORDER CHUA'S CIRCUIT: TIME-DOMAIN ANALYSIS, BIFURCATION, CHAOTIC BEHAVIOR AND TEST FOR CHAOS
• Dynamic analysis of the fractional-order Liu system and its synchronization
• FAMILIES OF SCROLL GRID ATTRACTORS
• Shil'nikov's theorem-a tutorial
• Design and Analysis of Multiscroll Chaotic Attractors From Saturated Function Series

This page was built for publication: Design and implementation of grid multi-scroll fractional-order chaotic attractors