Global ETD Search

1	Numerical Solutions and Parameter Sensitivity of the Lorenz System Larsson, Eira, Ström, Vilmer January 2023 (has links) In chaos theory there are many different problems still unsolved. One of which is the optimization of infinite time average functionals on manifolds. To try one of the different tools to solve this problem we want to find stable manifolds in chaotic dynamical systems.In this thesis we find different manifolds for the Lorenz system when using a time dependent $\mu$ parameter and perform a sensitivity analysis on some of them. The existence of these manifolds are motivated numerically with the help of the shadowing lemma and extensive comparison of different numerical solvers. Lorenz system Dynamic Bifurcation Periodic Parameter Perturbation Chaos Runge-Kutta Shadowing Lemma Mathematics Matematik
2	Analytical Modeling and Impedance Characterization of Nonlinear, Steady-State Structural Dynamics in Thermomechanical Loading Environments Goodpaster, Benjamin A. 27 August 2018 (has links) No description available. Mechanical Engineering Mechanics analysis nonlinear dynamics thermomechanical coupling multi-degree-of-freedom structure impedance mechanical impedance thermomechanical impedance dynamic bifurcation snap-through lumped-parameter distributed-parameter equivalent linearization