Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Stochastic dynamical systems"”.
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Feedback Control Theory in Stochastic Dynamical Systems
A stochastic dynamical system is a system composed of many interacting components which includes stochastic behavior. Feedback control theory is designed to use information from the current state of the system in order to temper the final state toward the desired outcome. In this dissertation, I …
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Efficient Sampling Methods of, by, and for Stochastic Dynamical Systems
… statistics and computational dynamics. Stochastic differential equations (SDEs) are used to model a variety of physical systems, and computing expectations over marginal distributions of SDEs is important for the analysis of such systems. In particular, quantifying the probabilities of …
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Contributions to the Computational Analysis of Multi-Dimensional Stochastic Dynamical Systems
… theory is extended to the case of nonlinear systems using the method of statistical linearization. The design procedure is applied to several nonlinear systems of civil engineering interest including hysteretic oscillators. The idea of covariance control is then generalized to the problem of …
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Automated synthesis of low-rank stochastic dynamical systems using the tensor-train decomposition
Cyber-physical systems are increasingly becoming integrated in various fields such as medicine, finance, robotics, and energy. In these systems and their applications, safety and correctness of operation is of primary concern, sparking a large amount of interest in the development of ways to verify …
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Combinatorics of a family of stochastic differential equations with an eye towards topological temperature
… a classification of a class of scale-separated stochastic differential equations is achieved using combinatorics and formal language theory. This is extended to a topological notion of temperature and qualitative results regarding the relatedness of scale separated stochastic dynamical systems …
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Analysis of Continuous Tensor-Train Methods for Optimal Control Problems with the Ornstein-Uhlenbeck Operator
… investigate rare event probabilities related to stochastic dynamical systems and thereafter evaluate the variances and relative errors of the resulting statistical estimators. We also evaluate the efficacy of Compressed Continuous Computation in solving time-dependent Hamilton-Jacobi-Bellman …
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Nonlinear dynamics and statistical physics of excitable systems
… addresses the question of how coupled neuronal systems synchronize. Neurons can be described as dynamical systems through the Bonhoeffer-Van der Pol equations. The Bonhoeffer-Van der Pol equations yield either excitable system behavior or oscillator dynamics, depending on a control parameter. …
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Bayesian learning for high-dimensional nonlinear dynamical systems : methodologies, numerics and applications to fluid flows
… class of models: high-dimensional nonlinear dynamical systems, which have been commonly used to predict a wide range of transient phenomena including fluid flows, heat transfer, biogeochemical dynamics, and other advection-diffusion-reaction-based transport processes. Even though such models …
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Stability and variability of open-ocean deep convection in deterministic and stochastic simple models
… Monostabilität auch in anderen Teilen des Klimasystems eine Rolle spielt. Insgesamt zeigen die Ergebnisse, dass die Stabilität der Tiefenkonvektion in der Labradorsee sehr empfindlich auf den Antrieb reagiert. Die Rolle der Variabilität ist entscheidend für ein Verständnis dieser …