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A stochastic modeling methodology based on weighted Wiener chaos and Malliavin calculus,
 Proc. Natl. Acad. Sci. USA
, 2009
"... In many stochastic partial differential equations (SPDEs) involving random coefficients, modeling the randomness by spatial white noise may lead to illposed problems. Here we consider an elliptic problem with spatial Gaussian coefficients and present a methodology that resolves this issue. It is b ..."
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Cited by 6 (2 self)
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of the solution space. Clearly, introduction of weights amounts to rescaling of the stochastic Fourier (Wiener chaos) representation of the solution. Below, we discuss briefly the construction of weighted spaces. Let R be a bounded linear operator on L 2 (F) defined by Rξ α = r α ξ α for every α ∈ J , where
unknown title
"... A simple electronic circuit to demonstrate bifurcation and chaos Chaos has generated much interest recently, and many of the important features of nonlinear dynamical systems can be demonstrated using the simple electronic circuit described here. The study of chaos has generated enormous interest in ..."
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in exploring the complexity of behaviour shown by nonlinear circuits and other dynamical systems (Rodgers 1992, Chacón et al 1992). A simple electronic circuit, which could form an introduction to project work in the field of chaos, is Chua’s autonomous circuit. Chua’s circuit can be used to demonstrate many
Nonlinear Digital Waveform Coding Of Chaotic Signals
 In NORSIG'96
, 1996
"... A method for coding a signal from a time discrete chaotic system is described. The signal is encoded in a binary sequence and can be decoded with prescribed accuracy. The construction of the decoder for a class of chaotic systems is given. The waveform coding scheme can be used for constructing pseu ..."
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Cited by 1 (0 self)
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pseudo chaos generators which can produce periodic signals with eligible period length which resembles the chaotic signals in their statistical characteristics. Finally the application of this pseudo chaos generator to CDMA spread spectrum modulation is discussed. 1. INTRODUCTION In recent years
Distributionally chaotic translation semigroups
 J. Difference Equ. Appl
"... Abstract. We characterize chaos for the translation semigroup, with a sector in the complex plane as index set, defined on a weighted function space. The results are stated in terms of the integrability of the weight function, and in terms of the existence of periodic points. We generalize previous ..."
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Cited by 2 (1 self)
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previous results of 1. Introduction. Let X be a separable infinitedimensional Banach space, and let ∆ be either the sector ∆(α) = {re iθ : r ≥ 0, θ ≤ α}, for some α ∈]0, π/2[, or ∆ = R + , R or C. A oneparameter family {T t } t∈∆ of linear and continuous operators on X is a strongly continuous
Akademisk avhandling för teknisk doktorsexamen vid
, 1994
"... mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group ..."
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mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group elements are data structures in a computer. Matrices are unnecessarily large structures, and part of this thesis is concerned with small and efficient representations of a large class of Coxeter groups (including most Coxeter groups that anyone ever payed any attention to.) The main contents of the thesis can be summarized as follows. • We prove that for all Coxeter graphs constructed from an npath of unlabelled edges by adding a new labelled edge and a new vertex (sometimes two new edges and vertices), there is a permutational representation of the corresponding group. Group elements correspond to integer nsequences and the nodes in the path generate all n! permutations. The extra node has a more complicated action, adding a certain quantity to some of the numbers.
A Numerical Study of the Lorenz and LorenzStenflo Systems
"... ges till offentlig granskning för avläggande av teknologie doktorsexamen fredagen ..."
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ges till offentlig granskning för avläggande av teknologie doktorsexamen fredagen
DOI: 10.1140/epjst/e201201529y THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS Review Active Brownian Particles From Individual to Collective Stochastic Dynamics
, 2012
"... Abstract. We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of such selfpropelled entities in the framework of sta ..."
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of statistical mechanics. Examples of such active units in complex physicochemical and biological systems are chemically powered nanorods, localized patterns in reactiondiffusion system, motile cells or macroscopic animals. Based on the description of individual motion of pointlike active particles
Results 1  10
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