Search for dissertations about: "non-smooth dynamics"
Showing result 1 - 5 of 7 swedish dissertations containing the words non-smooth dynamics.
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1. Numerical Quantum Dynamics
Abstract : We consider computational methods for simulating the dynamics of molecular systems governed by the time-dependent Schrödinger equation. Solving the Schrödinger equation numerically poses a challenge due to its often highly oscillatory solutions, and to the exponential growth of work and memory with the number of particles in the system. READ MORE
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2. On the stability and control of piecewise-smooth dynamical systems with impacts and friction
Abstract : This thesis concerns the analysis of dynamical systems suitable to be modelled by piecewise-smooth differential equations. In such systems the continuous-in-time dynamics is interrupted by discrete-in-time jumps in the state or governing equations of motion. READ MORE
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3. Methods for Direct Optimal Control of Multibody Systems
Abstract : In this thesis we present practical tools and techniques to numerically solve optimal control problems involving multibody systems. The driving application for the thesis has been developing motion planning tools for industrial robots and digital humans. READ MORE
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4. Modelling animal populations
Abstract : This thesis consists of four papers, three papers about modelling animal populations and one paper about an area integral estimate for solutions of partial differential equations on non-smooth domains. The papers are: I. Å. Brännström, Single species population models from first principles. READ MORE
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5. Low-cost control of discontinuous systems including impacts and friction
Abstract : For a successful design of an engineering system it is essential to pay careful attention to its dynamic response. This is particularly true, in the case of nonlinear systems, since they can exhibit very complex dynamic behaviour, including multiple co-existing stable solutions and chaotic motions, characterized by large sensitivity to initial conditions. READ MORE