Results 51 to 60 of about 136,000 (320)
"Large" strange attractors in the unfolding of a heteroclinic attractor
Discrete & Continuous Dynamical Systems, 2022 <p style='text-indent:20px;'>We present a mechanism for the emergence of strange attractors in a one-parameter family of differential equations defined on a 3-dimensional sphere. When the parameter is zero, its flow exhibits an attracting heteroclinic network (Bykov network) made by two 1-dimensional connections and one 2-dimensional separatrix ...
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Transactions of the American Mathematical Society, 1989 Using the graph transform method, we give a geometric treatment of Pesin’s invariant manifold theory. Beyond deriving the existence, uniqueness, and smoothness results by Fathi, Herman, and Yoccoz our method allows us to do four things: optimally conserve smoothness, deal with endomorphisms, prove absolute continuity of the Pesin laminations, and ...
Charles Pugh, Michael Shub
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Low-dimensional paradigms for high-dimensional hetero-chaos
, 2018 The dynamics on a chaotic attractor can be quite heterogeneous, being much more unstable in some regions than others. Some regions of a chaotic attractor can be expanding in more dimensions than other regions.
Saiki, Yoshitaka +2 more
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Journal of High Energy Physics, 2007 43 pages, 6 figures; v2: typos and references added; v3: published version, minor ...
Boris Pioline +5 more
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Inflation as an attractor in scalar cosmology
, 2013 We study an inflation mechanism based on attractor properties in cosmological evolutions of a spatially flat Friedmann-Robertson-Walker spacetime based on the Einstein-scalar field theory. We find a new way to get the Hamilton-Jacobi equation solving the
Kim, Hyeong-Chan
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A Determining Form for a Nonlocal System
Advanced Nonlinear Studies, 2017 This work is concerned with constructing a finite dimensional form (named determining form) by adding a feedback control term through an interpolation operator. The dynamics of the determining form is consistent with those of the original system.
Bai Lu, Yang Meihua
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On the Bernstein Affine Fractal Interpolation Curved Lines and Surfaces
Axioms, 2020 In this article, firstly, an overview of affine fractal interpolation functions using a suitable iterated function system is presented and, secondly, the construction of Bernstein affine fractal interpolation functions in two and three dimensions is ...
Nallapu Vijender, Vasileios Drakopoulos
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Population Ecology, EarlyView.This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier +6 more
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Frontiers in Neurology, 2014 Fatigue is often reported in stroke patients. However, it is still unclear if fatigue in stroke patients is more prominent, more frequent or more typical than in patients with multiple sclerosis (MS) and if the pathophysiology differs between these two ...
Aida eSehle +6 more
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Are Grid-Like Representations a Component of All Perception and Cognition?
Frontiers in Neural Circuits, 2022 Grid cells or grid-like responses have been reported in the rodent, bat and human brains during various spatial and non-spatial tasks. However, the functions of grid-like representations beyond the classical hippocampal formation remain elusive. Based on
Zhe Sage Chen +3 more
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