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Results overview: Found 8 records in 0.02 seconds.
Articles, 8 records found
Articles 8 records found  
1.
8 p, 122.9 KB C1 self-maps on closed manifolds with finitely many periodic points all of them hyperbolic / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Sirvent, Víctor F. (Universidad Simón Bolívar. Departamento de Matemáticas (Venezuela))
Let X be a connected closed manifold and f a self-map on X. We say that f is almost quasi-unipotent if every eigenvalue λ of the map f∗k (the induced map on the k-th homology group of X) which is neither a root of unity, nor a zero, satisfies that the sum of the multiplicities of λ as eigenvalue of all the maps f∗k with k odd is equal to the sumof the multiplicities of λ as eigenvalue of all the maps f∗k with k even. [...]
2016 - 10.21136/MB.2016.6
Mathematica Bohemica, Vol. 141, Issue 1 (2016) , p. 83-90  
Detailed record - Creative Commons
2.
16 p, 466.5 KB Spectral stability of periodic waves in the generalized reduced Ostrovsky equation / Geyer, Anna (Delft University of Technology. Delft Institute of Applied Mathematics (The Netherlands)) ; Pelinovsky, Dmitry E. (Nizhny Novgorod State Technical University. Department of Applied Mathematics (Russia))
We consider stability of periodic travelling waves in the generalized reduced Ostrovsky equation with respect to co-periodic perturbations. Compared to the recent literature, we give a simple argument that proves spectral stability of all smooth periodic travelling waves independent of the nonlinearity power. [...]
2017 - 10.1007/s11005-017-0941-3
Letters in mathematical physics, Vol. 107, Issue 7 (July 2017) , p. 1293-1314
2 documents
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3.
28 p, 511.9 KB Smooth linearisation of planar periodic maps / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ortega, Rafael (Universidad de Granada. Departamento de Matemática Aplicada)
The celebrated Kerékjártó theorem asserts that planar continuous periodic maps can be continuously linearised. We prove that for each k ∈ {1, 2,. . . , ∞}, Ck-planar periodic maps can be Ck-linearised.
2018 - 10.1017/S0305004118000336
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 167, Issue 2 (September 2019) , p. 295-320  
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4.
7 p, 271.3 KB Topological entropy of continuous self-maps on closed surfaces / García Guirao, Juan Luis (Universidad Politécnica de Cartagena. Hospital de Marina. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gao, Wei (Yunnan Normal University. School of Information Science and Technology (China))
The objective of this work is to present sufficient conditions for having positive topological entropy for continuous self-maps defined on a closed surface by using the action of this map on the homological groups of the closed surface.
2020 - 10.1080/10236198.2019.1710141
Journal of Difference Equations and Applications, Vol. 26, Issue 2 (January 2020) , p. 203-208  
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5.
23 p, 801.7 KB On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations / García, Isaac (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Maza, Susanna (Universitat de Lleida. Departament de Matemàtica)
In this work we improve the classical averaging theory applied to -families of analytic T-periodic ordinary differential equations in standard form defined on R. First we characterize the set of points z_0 in the phase space and the parameters where T-periodic solutions can be produced when we vary a small parameter . [...]
2018 - 10.1088/1361-6544/aab592
Nonlinearity, Vol. 31, issue 6 (2018) , p. 2666-2688  
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6.
6 p, 1.8 MB Periods of continuous maps on closed surfaces / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
2017 - 10.1216/RMJ-2017-47-4-1089
The Rocky Mountain Journal of Mathematics, Vol. 47 Núm. 4 (2017) , p. 1089-1096  
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7.
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 - 10.1080/10236198.2017.1304932
Houston Journal of Mathematics, Vol. 42 Núm. 3 (2016) , p. 1047-1058  
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8.
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 - 10.1007/s12346-013-0099-z
Qualitative theory of dynamical systems, Vol. 12 (2013) , p. 417-425  
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