On disappearance of chaos in fractional systems

DOI10.1016/j.chaos.2017.04.046zbMath1374.34309OpenAlexW2618001530MaRDI QIDQ1677757

Amey Deshpande, Varsha Daftardar-Gejji

Publication date: 13 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.04.046

zbMATH Keywords

chaosdynamical systemsfractional orderCaputo derivativePoincaré-Bendixon theorem

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Complex (chaotic) behavior of solutions to functional-differential equations (34K23) Functional-differential equations with fractional derivatives (34K37)

Related Items (9)

On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions ⋮ On stability of fixed points and chaos in fractional systems ⋮ A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions ⋮ Existence of solutions for a coupled system of nonlinear implicit differential equations involving \(\varrho\)-fractional derivative with anti periodic boundary conditions ⋮ Numerical solution of Caputo fractional differential equations with infinity memory effect at initial condition ⋮ What is the lowest order of the fractional-order chaotic systems to behave chaotically? ⋮ Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions ⋮ Chaotic dynamics of fractional Vallis system for El-Niño ⋮ Unnamed Item

Uses Software

• Sprott's Software
• Fractional Order Chaotic Systems

Cites Work

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