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Showing 1 to 20 of 290 for “"Dynamical system"”.
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Cell dynamical system approach to block copolymers
… separation dynamics based on a cell dynamics system (CDS) model. The model suggests a partial differential equation (PDE) model that allows us to find a close relation between the block copolymer and spinodal decomposition problems. A detailed numerical study of the CDS model is given, which …
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The Phase Retrieval Algorithm as a Dynamical System
… considering the error reduction algorithm as a dynamical system, we can consider the behaviour of the algorithm as it moves over the entire solution space. This allows us to consider the occurrence of discontinuities in the solution space which partition the space into many separate regions, and …
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Stability of Set Trajectories in a Dynamical System
Made available in DSpace on 2014-12-05T21:50:13Z (GMT). No. of bitstreams: 1 5904515.pdf: 1888450 bytes, checksum: ebcf7461ebe94c3927d0d56eeed471fc (MD5) Previous issue date: 1959
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Properties of the Logistic Equation as a Dynamical System
No abstract prepared.
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Mathematical analysis of a dynamical system for sparse recovery
… the mathematical analysis of a continuous-times system for sparse signal recovery. Sparse recovery arises in Compressed Sensing (CS), where signals of large dimension must be recovered from a small number of linear measurements, and can be accomplished by solving a complex optimization program. …
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Analysis of discrete dynamical system models for competing species
… phenomena and chaotic dynamics. Another related system, namely, the Exponentially Self Regulating (ESR) population model, is also thoroughly analyzed. It is found that in addition to logistic dynamics - ranging from the very simple to manifestly chaotic regimes in terms of the governing …
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Dynamical system modeling of a micro gas turbine engine
… side. The goals of this thesis are developing a dynamical model and providing a simulation platform for predicting the microengine performance and control design, as well as giving an estimate of the microengine behavior under current design. The thesis first analyzes and models the dynamical …
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A dynamical system approach to data assimilation in chaotic models
… instabilities of the forecast-analysis cycle system, which may be thought of as a system forced by observations. In the AUS scheme the assimilation is obtained by confining the analysis increment in the unstable subspace of the forecast-analysis cycle system so that it will have the same …
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On the Certification of Deep Learning-based Dynamical System Identification
Dynamical system identification, the reconstruction of the system governing equations from observations, has been studied for decades. With the recent emergence of deep learning techniques, neural network-based parameterization enriches this classical field by offering new capabilities in modeling …
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Investigation of infinite-dimensional dynamical system models applicable to granular flows
… Rosato developed a class of infinite-dimensional dynamical systems in the form of integro-partial differential equations, which have been called the BSR models. The BSR models were originally derived to model granular flows, but they actually have many additional applications in a variety of …
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Penetration of Set Trajectories Into Preassigned Regions in a Discrete Dynamical System
Made available in DSpace on 2014-12-09T22:17:29Z (GMT). No. of bitstreams: 1 6607832.pdf: 1128599 bytes, checksum: c5cc3b1b8e8a44c751ff2a7fb0cda3f2 (MD5) Previous issue date: 1966
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Relating information-theoretic limits to the lyapunov exponent of a dynamical system
… and see that the Lyapunov exponent of a related dynamical system emerges as a fundamental quantity. For channel coding with feedback, we show that for a broad class of channels - both with and without memory - the Lyapunov exponent of the transmission function is fundamentally linked to the …
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Dynamical System Representation and Analysis of Unsteady Flow and Fluid-Structure Interactions
A dynamical system approach is utilized to reduce the representation order of unsteady fluid flows and fluid-structure interaction systems. This approach allows for significant reduction in the computational cost of their numerical simulations, implementation of optimization and control …
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Finite Horizon Optimality and Operator Splitting in Model Reduction of Large-Scale Dynamical System
Simulation, design, and control of dynamical systems play an important role in numerous scientific and industrial tasks. The need for detailed models leads to large-scale dynamical systems, posing tremendous computational difficulties when employed in numerical simulations. In order to overcome …
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Development of Novel Attention-Aware Deep Learning Models and Their Applications in Computer Vision and Dynamical System Calibration
… modules in manufacturing, healthcare, and system identification applications. In essay 1, we introduce a novel computer vision tool that tracks the melt pool in X-ray images of laser powder bed fusion using attention modules. In essay 2, we present a mask-guided attention (MGA) classifier …
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ΣΥΜΒΟΛΗ ΣΤΗ ΘΕΩΡΙΑ ΤΩΝ D+- ΕΥΣΤΑΘΩΝ ΔΥΝΑΜΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ ΣΕ ΔΙΔΙΑΣΤΑΤΕΣ ΠΟΛΛΑΠΛΟΤΗΤΕΣ
… BEHAVIOR OF D+-STABLE (OR CHARACTERISTIC O+) DYNAMICAL SYSTEMS ON 2-MANIFOLDS, IN CONNECTION WITH THE TOPOLOGICALSTRUCTURE OF THE UNDERLYING PHASE SPACES. FIRST WE PROVE THAT A STABLE COMPACT MINIMAL SET OF A (NOT NECESSARILY D+ - STABLE) DYNAMICAL SYSTEM ON A 2-MANIFOLD IS TRIVIAL. USING THIS …
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ΓΕΝΙΚΑ ΚΑΙ ΤΟΠΙΚΑ ΧΑΡΑΚΤΗΡΙΣΤΙΚΑ ΤΗΣ ΧΑΟΤΙΚΗΣ ΔΟΜΗΣ ΘΑΛΑΣΣΙΩΝ ΔΥΝΑΜΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ
WE INVESTIGATE THE PROPERTIES OF A MARINE DYNAMICAL SYSTEM BY MEANS OF TIME SERIES OF THE SEA-LEVEL HEIGHT AT FOUR LOCATIONS IN THE SARONIKOS GULF IN THE AEGEAN SEA. IN ORDER TO CHARACTERIZE THE DYNAMICS WE ESTIMATE THE DIMENSION OF THE UNDERLYING SYSTEM ATTRACTOR AND WE COMPUTE ITS LYAPUNOV …
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METHODS COMPARISON ON FLOW MODEL CONSTRUCTION AND PARAMETER ESTIMATION
Knowing the equation of an unknown dynamical system is essential when trying to apply optimal control. Sometimes researchers do not have a comprehensive knowledge to a nonlinear system. The unknown part might be the function representing the relation between states (e.g. transfer function), or key …
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Dynamical systems perspectives in machine learning
… facets of machine learning from a perspective of dynamical systems, that is, the data generated from a dynamical system and the iterative inference algorithm posed as a dynamical system. In the former, we look at time series data which is generated from a mixture of processes. Each process exists …
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Generalized frequency modulation
In frequency modulation (FM) systems, a continuous-time information signal is modulated onto a sinusoidal carrier wave by using the information signal to modulate the frequency of the carrier wave. In this thesis, a more general type of modulation is developed, of which FM is a special case, that …
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