Search for dissertations about: "ALGEBRAIC DYNAMICAL SYSTEMS"
Showing result 1 - 5 of 11 swedish dissertations containing the words ALGEBRAIC DYNAMICAL SYSTEMS.
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1. Algebraic Dynamical Systems, Analytical Results and Numerical Simulations
Abstract : In this thesis we study discrete dynamical system, given by a polynomial, over both finite extension of the fields of p-adic numbers and over finite fields. Especially in the p-adic case, we study fixed points of dynamical systems, and which elements that are attracted to them. We show with different examples how complex these dynamics are. READ MORE
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2. P-adic dynamical systems and van der Put basis technique
Abstract : Theory of dynamical systems in fields of p-adic numbers is an important part of algebraic and arithmetic dynamics. The study of p-adic dynamical systems is motivated by their applications in various areas of mathematics, e.g., in physics, genetics, biology, cognitive science, neurophysiology, computer science, cryptology, etc. READ MORE
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3. Runge-Kutta Solution of Initial Value Problems: Methods, Algorithms and Implementation
Abstract : The last decades have seen a strongly increasing use of computers for modeling larger and more complex systems. This has been made possible by a combination of increasing computer power and easy-to-use graphical modeling environments and libraries of components. READ MORE
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4. Delocalization in nonperiodic systems
Abstract : The localization properties of non-interacting linear excitations in one-dimensional aperiodically ordered structures are investigated from a theoretical point of view. The models used have various relevance for real systems, like quasicrystals, photonic crystals, and deterministic aperiodic superlattices. READ MORE
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5. Optimizing Networked Systems and Inverse Optimal Control
Abstract : This thesis is concerned with the problems of optimizing networked systems, including designing a distributed energy optimal consensus controller for homogeneous networked linear systems, maximizing the algebraic connectivity of a network by projected saddle point dynamics. In addition, the inverse optimal control problems for discrete-time finite time-horizon Linear Quadratic Regulators (LQRs) are considered. READ MORE