On sufficient conditions of existence and uniqueness of periodic in a strip solutions of nonlinear hyperbolic equations.
Kiguradze, T. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Kiguradze, T. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Hayashi, Shuhei (1999)
Annals of Mathematics. Second Series
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P. S. Milojević (1990)
Publications de l'Institut Mathématique
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Mark Pollicott (2009)
Fundamenta Mathematicae
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We consider families of hyperbolic maps and describe conditions for a fixed reference point to have its orbit evenly distributed for maps corresponding to generic parameter values.
L. J. Diaz, J. Rocha (2002)
Fundamenta Mathematicae
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We study one-parameter families of diffeomorphisms unfolding heterodimensional cycles (i.e. cycles containing periodic points of different indices). We construct an open set of such arcs such that, for a subset of the parameter space with positive relative density at the bifurcation value, the resulting nonwandering set is the disjoint union of two hyperbolic basic sets of different indices and a strong partially hyperbolic set which is robustly transitive. The dynamics of the diffeomorphisms...
Kiguradze, T. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Virpi Kauko (2000)
Fundamenta Mathematicae
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We discuss the tree structures of the sublimbs of the Mandelbrot set M, using internal addresses of hyperbolic components. We find a counterexample to a conjecture by Eike Lau and Dierk Schleicher concerning topological equivalence between different trees of visible components, and give a new proof to a theorem of theirs concerning the periods of hyperbolic components in various trees.
Jacob Palis (1987)
Publications Mathématiques de l'IHÉS
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Sergei Buyalo, Viktor Schroeder (2015)
Analysis and Geometry in Metric Spaces
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We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.
Tomasz Nowicki (1985)
Fundamenta Mathematicae
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Jacob Palis, Jean-Christophe Yoccoz (2009)
Publications Mathématiques de l'IHÉS
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In the present paper, we advance considerably the current knowledge on the topic of bifurcations of heteroclinic cycles for smooth, meaning C ∞, parametrized families {g t ∣t∈ℝ} of surface diffeomorphisms. We assume that a quadratic tangency q is formed at t=0 between the stable and unstable lines of two periodic points, not belonging to the same orbit, of a (uniformly hyperbolic) horseshoe K (see an example at the Introduction) and that such lines cross each other with positive relative...
Schleicher, Dierk (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Kiguradze, Tariel (1994)
Memoirs on Differential Equations and Mathematical Physics
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M. J. Pacífico, A. Rovella (1993)
Annales scientifiques de l'École Normale Supérieure
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