scientific article; zbMATH DE number 7302972

zbMath1459.37039MaRDI QIDQ5147770

Abla Yousfi, Mohamed Réda Ferchichi

Publication date: 28 January 2021

Full work available at URL: http://online.watsci.org/abstract_pdf/2021v28/v28n2b-pdf/1.pdf

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zbMATH Keywords

attractorsdiscrete dynamical systemsNeimark-Sacker bifurcation\(k\)-cyclesArnold tongues

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35)

Cites Work

• Elements of applied bifurcation theory.
• On some attractors of a two-dimensional quadratic map
• Scaling of the Arnold tongues
• Rotation orbits and the Farey tree
• Unnamed Item

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