theory of dynamical systems
Dynamical systems theory sheds new light on compound climate extremes in Europe and Eastern North America
... part of the North American domain (Figure 4d), reflecting the larger temperature anomalies shown in Figure ...because of the different variables and domains over which α is computed ...definition of ...
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Evaluation of Crisis, Reversibility, Alert Management for Constrained Dynamical Systems Using Impulse Dynamical Systems
... constrained dynamical systems character- ized by a differential inclusion x 0 ∈ F (x), we are interested in study- ing the situation where, for various reasons, the state leaves the con- strain domain K ...
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T HE THEORY OF DYNAMICAL SYSTEMS , AND ITS APPLICATIONS TO ECONOMICS
... product of land is a -bN t > 0 and A = a/w where a is the output per unit land (or worker) on the best land , and w is the subsistence ...values of A near 4 will produce chaotic trajectories of ...
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Control theory and dynamical systems
... sketch of proof for the sake of comple- ...steps of the proof of Lemma ...proof of Lemma ...algebra of what Ma˜ n´e calls uniformly contracting families of periodic ...
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Extremes and Recurrence in Dynamical Systems
... case of geo- physical extremes, which do not only cost many human lives each year, but also cause significant economic damages [4, 8, 9, 10]; see also the discussion and histor- ical perspective given in ...list ...
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Reachability in Dynamical Systems with Rounding
... behaviour of rounded orbits induced by rotations in the ...one of our examples the orbits eventually become ...categories of Figure 4, i.e., where the resulting set consists of (a) a square ...
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A Core Theory of Delay Systems
... theories of delay systems have been developped and used over time (Hale 1977; ...definitions of delay operators, of the solutions to the initial- value problem and may be restricted to ...
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Lorentzian 3-manifolds and dynamical systems.
... homogeneity of Σ, the Gaussian curvature of Σ is con- ...(case of curvature 0) or o(1, 2) (case of nonzero constant ...center of both sol and o(1, 2) is trivial (we have implicitely ...
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An evolutionary theory of urban systems
... macro-level of the system of cities, the process of specialization is part of the “division of labor” between ...diffusion of innovation waves and their associated growth ...
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Chaotic dynamical systems associated with tilings of ${R}^{N}$
... ease of implementation and duplication, a cryptographic scheme must involve a map for which the parameters identification is expected to be a difficult task, while computational require- ments for masking and ...
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Scaling Invariants and Symmetry Reduction of Dynamical Systems
... rewriting of any (rational) invariant in terms of this generating set, • a rational section to the orbits of the ...transcription of the Buckingham π-theorem of dimensional analysis [4, ...
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Dynamic Data-Driven Parametric Dynamical Systems
... Application Systems – DDDAS – appear as a new paradigm in the field of applied sciences and engineering, and in particular in simulation-based engineering ...set of techniques that allow the linkage ...
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Case Studies in Data-Driven Verification of Dynamical Systems
... several dynamical system verification questions, e.g., region of attraction and reachability analyses, as data classification ...some of the tradeoffs be- tween conventional optimization-based ...
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Detection of Changes in Nonlinear Dynamical Systems using Multiresolution Entropy
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Dynamical reduction of metabolic networks by singular perturbation theory : application to microalgae
... Nonlinear Dynamic Metabolic Networks Abstract: Here we propose a rigorous approach to reduce metabolic nonlinear models. We assume that a metabolic network can be represented with Michaelis-Menten enzymatic reactions, ...
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Self-Organization: Complex Dynamical Systems in the Evolution of Speech
... Origins of Language and Languages It is also possible to use computers and agent-based simulations not only to help us understand the phenomena that characterize self-organization of matter, simple ...
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Complexity of ten decision problems in continuous time dynamical systems
... list of coefficients (expressed as rational numbers) defining the polynomial or trigonometric vector ...NP-hardness of these problems implies that unless P=NP, it is not possible to provide an algorithm ...
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Spectral theory of damped quantum chaotic systems
... distributions of the averages hqi t ? ...spectrum of P (~), one needs to make specific assumptions on the geodesic flow on ...case of a completely integrable dynamics has been con- sidered by ...
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Variational Inference and Learning of Piecewise-linear Dynamical Systems
... inference of dynamical systems have been addressed in the framework of deep generative models (DGMs), where the linear-Gaussian transition and emission distributions of LDS are replaced ...
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Galois extensions of height-one commuting dynamical systems
... study of p-adic dynamical systems has seen increased interest over the past two decades, reflected most recently in a new MSC category: Arith- metic and non-Archimedean dynamical ...ways ...
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