Strange attractor existence for non-local operators applied to four-dimensional chaotic systems with two equilibrium points

DOI10.1063/1.5085440zbMath1409.37043OpenAlexW2914536443WikidataQ92054327 ScholiaQ92054327MaRDI QIDQ4627642

Emile Franc Doungmo Goufo

Publication date: 11 March 2019

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

Full work available at URL: https://doi.org/10.1063/1.5085440

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Unnamed Item
• Unnamed Item
• Stability and convergence analysis of a variable order replicator-mutator process in a moving medium
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• A study on the convergence of variational iteration method
• Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
• Attractors for fractional differential problems of transition to turbulent flows
• Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
• Convergence of the Adomian method applied to a class of nonlinear integral equations
• On response of nonlinear oscillators with random frequency of excitation
• YET ANOTHER CHAOTIC ATTRACTOR
• Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: Basic theory and applications
• Deterministic Nonperiodic Flow
• A NEW CHAOTIC ATTRACTOR COINED
• APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗
• Speeding up chaos and limit cycles in evolutionary language and learning processes

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