The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
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Displaying 1 – 9 of 9
The interior of zero entropy diffeomorphisms.
Carvalho, Maria (1996)
Portugaliae Mathematica
The discovery of Smale horseshoe for dynamical system generated by autogenerator with tunnel diode
N. N. Chentsova (1989)
Banach Center Publications
The Dynamical Complexity of Orientation Reversing Homeomorphisms of Surfaces.
John Franks, Paul Blanchard (1980/1981)
Inventiones mathematicae
The homotopy class of non-singular Morse-Smale vector fields on 3-manifolds.
Koichi Yano (1985)
Inventiones mathematicae
The Periodic Behavior of Morse-Smale Diffeomorphisms.
John Franks, Carolyn Narasimhan (1978)
Inventiones mathematicae
The periodic structure of non-singular Morse-Smale flows.
John Franks (1978)
Commentarii mathematici Helvetici
There are Two Isotopic Morse-Smale Diffeomorphisms Which Cannot be Joined by Simple Arcs.
Shigenori Matsumoto (1979)
Inventiones mathematicae
Topological conjugacy of cascades generated by gradient flows on the two-dimensional sphere
Andrzej Bielecki (2000)
Annales Polonici Mathematici
This article presents a theorem about the topological conjugacy of a gradient dynamical system with a constant time step and the cascade generated by its Euler method. It is shown that on the two-dimensional sphere S² the gradient dynamical flow is, under some natural assumptions, correctly reproduced by the Euler method for a sufficiently small time step. This means that the time-map of the induced dynamical system is globally topologically conjugate to the discrete dynamical system obtained via...
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