Results 11 to 20 of about 47,498 (296)
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 ...
Pugh, Charles, Shub, Michael
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Discrete Dynamics in Nature and Society, 1998 In this paper the definition of attractor of a dissipative dynamical system is introduced. The classification of the existing types of attractors and the analysis of their characteristics are presented. The discussed problems are illustrated by the results of numerical simulations using a number of real examples that provides the possibility to ...
Vadim S. Anishchenko +1 more
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Nonlinear dynamics of weakly dissipative optomechanical systems
New Journal of Physics, 2020 Optomechanical systems attract a lot of attention because they provide a novel platform for quantum measurements, transduction, hybrid systems, and fundamental studies of quantum physics. Their classical nonlinear dynamics is surprisingly rich and so far
Thales Figueiredo Roque +2 more
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Approximating attractors of Boolean networks by iterative CTL model checking
Frontiers in Bioengineering and Biotechnology, 2015 This paper introduces the notion of approximating asynchronous attractors of Boolean networks by minimal trap spaces. We define three criteria for determining the quality of an approximation: faithfulness which requires that the oscillating variables of ...
Hannes eKlarner, Heike eSiebert
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Attractors for a quasilinear viscoelastic equation with nonlinear damping and memory
AIMS Mathematics, 2021 In this paper, the long time behavior of a quasilinear viscoelastic equation with nonlinear damping is considered. Under suitable assumptions, the existence of global attractors is established.
Xiaoming Peng, Yadong Shang
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Information and the Origin of Qualia
Frontiers in Systems Neuroscience, 2017 This article argues that qualia are a likely outcome of the processing of information in local cortical networks. It uses an information-based approach and makes a distinction between information structures (the physical embodiment of information in the ...
Roger Orpwood
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The Phonological Latching Network
Biolinguistics, 2021 This paper gives an analysis of an attractor neural network model dubbed the Phonological Latching Network. The model appears to reproduce certain quintessentially phonological phenomena, despite not having any of these phonological behaviours programmed
Joe Stephen Bratsvedal Collins
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Multiple-Function Systems Based on Regular Subdivision
Fractal and Fractional, 2022 Self-similar fractals can be generated using subdivision and the subdivision curves/surfaces are actually attractors. Such a connection has been studied between fractals and an extended family of subdivision including stationary and non-stationary ...
Baoxing Zhang +2 more
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Interpreting the Smartphone Life Cycle Through Smarta
IEEE Access, 2019 Many complex systems, such as the product life cycle (PLC), can be described in terms of networks, with elements interacting and based on terms of graph theory.
Kristian Alonso-Stenberg +3 more
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DYNAMIC STATISTICAL CLASSIFICATION
Revista de Matemática: Teoría y Aplicaciones, 2017 We consider the statistical supervised classification problem from adynamical systems approach. We assume that two classes exist and that, for each one, a multivariate normal distribution determines the probability to be in a certain region in then ...
JAVIER PULIDO CEJUDO +1 more
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