Results 31 to 40 of about 35,702 (155)
Linearization of planar homeomorphisms with a compact attractor [PDF]
Topological Methods in Nonlinear Analysis, 2016 Kerékjártó proved in 1934 that a planar homeomorphism with an asymptotically stable fixed point is conjugated, on its basin of attraction, to one of the maps z (Formula Present.) depending on whether f preserves or reverses the orientation. We extend this result to planar homeomorphisms with a compact attractor.
Gasull, Armengol +2 more
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Discrete Dynamics in Nature and Society, 2013 A class of interval Cohen-Grossberg neural networks with time-varying delays and infinite distributed delays is investigated. By employing H-matrix and M-matrix theory, homeomorphism techniques, Lyapunov functional method, and linear matrix inequality ...
Yanke Du, Rui Xu
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Linearization of certain uniform homeomorphisms [PDF]
Journal of the Australian Mathematical Society, 2007 AbstractThis article concerns the uniform classification of infinite dimensional real topological vector spaces. We examine a recently isolated linearization procedure for uniform homeomorphisms of the form φ: X →Y, where X is a Banach space with non-trivial type and Y is any topological vector space.
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Stable Homeomorphisms on Infinite Dimensional Normed Linear Spaces [PDF]
Proceedings of the American Mathematical Society, 1971 R. Y. T. Wong has recently shown that all homeomorphisms on a connected manifold modeled on infinite-dimensional separable Hilbert space are stable. In this paper we establish the stability of all homeomorphisms on a normed linear space E E such that E E is homeomorphic to the countable infinite product of copies of ...
Curtis, D. W., McCoy, R. A.
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Global μ-Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays
Abstract and Applied Analysis, 2014 The impulsive complex-valued neural networks with three kinds of time delays including leakage delay, discrete delay, and distributed delay are considered.
Xiaofeng Chen +3 more
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Linearization of conservative toral homeomorphisms [PDF]
Inventiones mathematicae, 2008 11 pages; final version, to appear in Inventiones mathematicae.
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The Structure of Disjoint Groups of Continuous Functions
Abstract and Applied Analysis, 2012 Let I be an open interval. We describe the general structure of groups of continuous self functions on I which are disjoint, that is, the graphs of any two distinct elements of them do not intersect.
Hojjat Farzadfard, B. Khani Robati
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Stability Analysis of Quaternion-Valued Neutral-Type Neural Networks with Time-Varying Delay
Mathematics, 2019 This paper addresses the problem of global μ -stability for quaternion-valued neutral-type neural networks (QVNTNNs) with time-varying delays. First, QVNTNNs are transformed into two complex-valued systems by using a transformation to reduce the ...
Jinlong Shu +3 more
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Linearization of expansive homeomorphisms
General Topology and its Applications, 1976 AbstractIn this paper it is shown that the problem of studying expansive homeomorphisms on a bounded subset of a normed linear space is equivalent to the problem of studying linear expansive homeomorphisms on a bounded subset of another normed line space.
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A Thompson Group for the Basilica
, 2012 We describe a Thompson-like group of homeomorphisms of the Basilica Julia set. Each element of this group acts as a piecewise-linear homeomorphism of the unit circle that preserves the invariant lamination for the Basilica. We develop an analogue of tree
Belk, James, Forrest, Bradley
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