Contractive fixed points
Solomon Leader, Stephen Hoyle (1975)
Fundamenta Mathematicae
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Solomon Leader, Stephen Hoyle (1975)
Fundamenta Mathematicae
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Singh, S.L., Mishra, S.N. (2002)
International Journal of Mathematics and Mathematical Sciences
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Lluis Alsedà, Jose Miguel Moreno (2002)
Applicationes Mathematicae
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This paper is the first one of a series of two, in which we characterize a class of primary orbits of self maps of the 4-star with the branching point fixed. This class of orbits plays, for such maps, the same role as the directed primary orbits of self maps of the 3-star with the branching point fixed. Some of the primary orbits (namely, those having at most one coloured arrow) are characterized at once for the general case of n-star maps.
Lluís Alsedà, José Miguel Moreno (2002)
Applicationes Mathematicae
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This paper is the second part of [2] and is devoted to the study of the spiral orbits of self maps of the 4-star with the branching point fixed, completing the characterization of the strongly directed primary orbits for such maps.
Jungck, G., Rhoades, B.E. (1993)
International Journal of Mathematics and Mathematical Sciences
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S.V.R. Naidu, J. Rajendra Prasad (1988)
Publications de l'Institut Mathématique
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Sylvain Crovisier (2006)
Publications Mathématiques de l'IHÉS
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We prove that the chain-transitive sets of C-generic diffeomorphisms are approximated in the Hausdorff topology by periodic orbits. This implies that the homoclinic classes are dense among the chain-recurrence classes. This result is a consequence of a global connecting lemma, which allows to build by a C-perturbation an orbit connecting several prescribed points. One deduces a weak shadowing property satisfied by C-generic diffeomorphisms: any pseudo-orbit is approximated in the Hausdorff...
Pathak, H.K., Cho, Y.J., Kang, S.M. (1998)
International Journal of Mathematics and Mathematical Sciences
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Jungck, Gerald (1994)
International Journal of Mathematics and Mathematical Sciences
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Hicks, Troy L., Saliga, Linda Marie (1994)
International Journal of Mathematics and Mathematical Sciences
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Singh, S.L., Chadha, V., Mishra, S.N. (1996)
International Journal of Mathematics and Mathematical Sciences
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