Small perturbations of smooth skew products and Sharkovsky's theorem
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Publication:4989352
DOI10.1080/10236198.2020.1804556zbMath1468.37041OpenAlexW3048966287MaRDI QIDQ4989352
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Publication date: 25 May 2021
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2020.1804556
Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)
Related Items (5)
Periodic Behavior of Maps Obtained by Small Perturbations of Smooth Skew Products ⋮ Ramified continua as global attractors of C 1 -smooth self-maps of a cylinder close to skew products ⋮ The paths of nine mathematicians to the realm of dynamical systems ⋮ Small \(C^1\)-smooth perturbations of skew products and the partial integrability property ⋮ Geometrically integrable maps in the plane and their periodic orbits
Cites Work
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- Multivalued functions and nonwandering set of skew products of maps of an interval with complicated dynamics of quotient map
- Structurally stable systems
- Space of \(C^{1}\)-smooth skew products of maps of an interval
- Nonwandering sets of \(C^1\)-smooth skew products of interval maps with complicated dynamics of quotient map
- On the Concept of Integrability for Discrete Dynamical Systems. Investigation of Wandering Points of Some Trace Map.
- Lorenz attractors through Šil'nikov-type bifurcation. Part I
- Homoclinic bifurcation to a transitive attractor of Lorenz type
- Stability of Periodic Orbits in the Theorem of Sarkovskii
- On Sharkovsky's cycle coexistence ordering
- COEXISTENCE OF CYCLES OF A CONTINUOUS MAP OF THE LINE INTO ITSELF
- Dynamics of skew products of interval maps
- Periodic Behavior of Maps Obtained by Small Perturbations of Smooth Skew Products
- Remarks on the Nonwandering Set of Skew Products with a Closed Set of Periodic Points of the Quotient Map
- A decomposition theorem for the space of $ C^1$-smooth skew products with complicated dynamics of the quotient map
- ON SMOOTH MAPPINGS OF THE CIRCLE INTO ITSELF
- On the concept of \(\Omega\)-function for the skew product of interval mappings.
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