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Artículos, Encontrados 4 registros

Artículos	Encontrados 4 registros

7 p, 400.5 KB

Periods of continuous maps on some compact spaces / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The objective of this paper is to provide information on the set of periodic points of a continuous self--map defined in the following compact spaces: S^n (the n--dimensional sphere), S^n S^m (the product space of the n--dimensional with the m--dimensional spheres), CP^n (the n--dimensional complex projective space) and HP^n (the n--dimensional quaternion projective space). [...]
2016 - DOI (Digital Object Identifier)

10.1080/10236198.2017.1304932
Houston Journal of Mathematics, Vol. 42 Núm. 3 (2016) , p. 1047-1058

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7 p, 2.1 MB

Periodic structure of transversal maps on CP^n, HP^n and S^p S^q / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A C1 map f : M → M is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) being x a fixed point of fm. Let CPn be the n-dimensional complex projective space, HPn be the n-dimensional quaternion projective space and Sp × Sq be the product space of the p-dimensional with the q-dimensional spheres, p 6= q. [...]
2013 - DOI (Digital Object Identifier)

10.1007/s12346-013-0099-z
Qualitative theory of dynamical systems, Vol. 12 (2013) , p. 417-425

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9 p, 2.0 MB

C^1 self-maps on S^n, S^n S^m, C P^n and H P^n with all their periodic orbits hyperbolic / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study in its homological class the periodic structure of the C1 self-maps on the manifolds Sn (the n-dimensional sphere), Sn × Sm (the product space of the n-dimensional with the m-dimensional spheres), CPn (the n-dimensional complex projective space) and HPn (the n-dimensional quaternion projective space), having all their periodic orbits hyperbolic.
2012
Taiwanese Journal of Mathematics, Vol. 16 Núm. 1 (2012) , p. 323-334

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9 p, 1.9 MB

On the Lefschetz periodic point free continuous self-maps on connected compact manifolds / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We characterize the Lefschetz periodic point free self-continuous maps on the following connected compact manifolds: CPn the n-dimensional complex projective space, HPn the n-dimensional quaternion projective space, Sn the n-dimensional sphere and Sp ×Sq the product space of the p-dimensional with the q-dimensional spheres.
2011 - DOI (Digital Object Identifier)

10.1016/j.topol.2011.07.007
Topology and its applications, Vol. 158 (2011) , p. 2165-2169

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