Essays about: "Dynamical systems"
Showing result 41 - 45 of 123 essays containing the words Dynamical systems.
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41. Reduced Order Modelling using Dynamic Mode Decomposition and Koopman Spectral Analysis with Deep Learning
University essay from Lunds universitet/Matematik LTHAbstract : In the industry simulation models are commonly used in system development. These models can become complicated in order to capture the physical behaviour of the underlying dynamical system. A high-fidelity representation, which can result in long simulation times, is in some settings not strictly required. READ MORE
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42. Dynamical Borel-Cantelli lemmas and applications
University essay from Lunds universitet/Matematik LTHAbstract : The classical Borel–Cantelli lemma is a beautiful discovery with wide applications in the mathematical field. The Borel–Cantelli lemmas in dynamical systems are particularly fascinating. Here, D. Kleinbock and G. READ MORE
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43. Robust Reinforcement Learning in Continuous Action/State Space
University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)Abstract : In this project we aim to apply Robust Reinforce-ment Learning algorithms, presented by Doya and Morimoto [1],[2], to control problems. Specifically, we train an agent to balancea pendulum in the unstable equilibrium, which is the invertedstate.We investigate the performance of controllers based on twodifferent function approximators. READ MORE
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44. Diophantine Approximation and Dynamical Systems
University essay from Lunds universitet/Matematik LTHAbstract : The subject of diophantine approximation is a classical mathematic problem, as old as it is well studied. There are many different texts describing its connection to more modern areas of study, but few which do so with the aim of exploring the connections themselves. READ MORE
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45. A dynamical system with oscillating time average
University essay from Lunds universitet/Matematik LTHAbstract : Given a discrete dynamical system T, one can ask what the time average of the system will be, that is, what is the average position of T^n(x) for large n? Birkhoff’s ergodic theorem, one of the most important results in ergodic theory, says that for an ergodic system on a finite measure space, the time average will in the limit as n -> infinity be equal to the space average for almost all initial values x. In this thesis we study time averages of a dynamical system T : [0, 1] -> [0, 1] that depends on a parameter alpha. READ MORE
