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.
Results
Showing 1 to 20 of 50 for “"Chaotic dynamics"”.
-
Long-range predictability of high-dimensional chaotic dynamics
… the long range prediction of high dimensional chaotic systems. To this end, I investigate the important relationship between predictability and non-uniformity of information loss throughout the state space of a chaotic system. I introduce a genetic algorithm to build predictive models by …
-
Long range predictability of high dimensional chaotic dynamics
… the long range prediction of high dimensional chaotic systems. To this end, I investigate the important relationship between predictability and non-uniformity of information loss throughout the state space of a chaotic system. I introduce a genetic algorithm to build predictive models by …
-
Recurrent outbreaks in ecology : chaotic dynamics in complex networks
Gegenstand der Dissertation ist die Untersuchung von wiederkehrenden Ausbrüchen (wie z.B. Epidemien) in der Natur. Dies gelang anhand von Modellen, die die Dynamik von Phytoplankton und die Ausbreitung von Krankheiten zwischen Städten beschreiben. Diese beide Systeme bilden hervorragende Beispiele …
-
Chaotic Dynamics of Polyatomic Systems with an Emphasis on DNA Models
In this work we investigate the chaotic behaviour of multiparticle systems, and in particular DNA and graphene models, by applying various numerical methods of nonlinear dynamics. Through the use of symplectic integration techniques—efficient routines for the numerical integration of Hamiltonian …
-
Machine Learning for Physics Applications: Quantum Algorithm Design, Chaotic Dynamics, and Mass Spectrometry
… mass spectrometry imaging and non-linear chaotic dynamics. In the second chapter, supervised and interpretable machine learning models are applied to mass spectrometry imaging data to identify chemical biomarkers and quantify spatial and spectral structure in biological samples. The …
-
The Complex Spatiotemporal Dynamics of a Shallow Fluid Layer
The nonlinear and chaotic dynamics of a shallow fluid layer are investigated numerically using large-scale parallel numerical simulations. Two particular situations are studied in detail. First, a fluid layer is placed between rigid boundaries and heated from below to yield the chaotic dynamics of …
-
Bifurcations of Parametrically Excited Gyroscopic Systems Near a 0 : 1 Resonance
… to fixed points on the slow manifold, leading to chaotic dynamics in the system. These multi-pulse orbits provide the mechanism by which energy transfer between modes may occur.
-
Global bifurcations and chaos in nonlinear mechanical systems
… on parameters where such systems can exhibit chaotic dynamics. The results are demonstrated on a shallow arch system, which is subjected to a spatio-temporal loading, under various resonance conditions.
-
Eigenfunctions in chaotic quantum systems
… strongly depends on the underlying classical dynamics. In this text a selection of articles on eigenfunctions in systems with fully chaotic dynamics and systems with a mixed phase space is summarized. Of particular interest are statistical properties like amplitude distribution and spatial …
-
Analysis of discrete dynamical system models for competing species
… as a source of bifurcation phenomena and chaotic dynamics. Another related system, namely, the Exponentially Self Regulating (ESR) population model, is also thoroughly analyzed. It is found that in addition to logistic dynamics - ranging from the very simple to manifestly chaotic regimes …
-
The pilot-wave dynamics of walking droplets in confinement
… statistics may emerge from the walker's chaotic dynamics is elucidated.
-
Methods for design optimization using high fidelity turbulent flow simulations
… simulations. It is often unpredictable due to chaotic dynamics of turbulence, in that it can be totally different for almost identical simulations. This thesis presents a modified parallel Bayesian optimization algorithm designed for performing optimization with high-fidelity simulations. It …
-
Direct dynamical tunneling in systems with a mixed phase space
… phase space. It contains regions of regular and chaotic dynamics, the so-called regular islands and the chaotic sea. These different phase space components are classically separated by dynamically generated barriers. Quantum mechanically they are, however, connected by dynamical tunneling. We …
-
Exact coherent structures in spatiotemporal chaos: From qualitative description to quantitative predictions
… Examples of such phenomena range from cardiac dynamics to fluid turbulence, where the motion is described by nonlinear partial differential equations. It is well known from the studies of low dimensional chaotic systems that the state space, the space of solutions to the governing dynamical …
-
A trajectory equation for walking droplets : hydrodynamic pilot-wave theory
… with a view to gaining insight into their subtle dynamics. The orbital quantization is rationalized by assessing the stability of the orbital solutions. The stability analysis also predicts the existence of wobbling orbital states reported in recent experiments, and the absence of stable orbits in …
-
Dynamical Tunneling in Systems with a Mixed Phase Space
… In such systems regions of regular and chaotic dynamics coexist in phase space, which are classically separated but quantum mechanically coupled by the process of dynamical tunneling. We derive a prediction of dynamical tunneling rates which describe the decay of states localized inside …
-
Invariant Manifolds of a Toy Climate Model
… To understand how this might occur, the dynamics of a two dimensional nonlinear differential equation representing glacier/temperature interaction of an idealized climate was studied. Self sustained oscillation of the autonomous equation was used to model the internal mechanisms that …
-
Migration Towards Periodicity in Systems With Feedback
… begin by examining a system know for exhibiting chaotic dynamics and then move on to a spatially extended system. First, we study the effect of low-pass band filters on the dynamics of a non-isothermal autocatalator by selecting Fourier coefficients for the modes in the pass band according to a …
-
Least Squares Shadowing for sensitivity analysis of large chaotic systems and fluid flows
… mesh to reduce errors in Computational Fluid Dynamics (CFD) simulations, and to quantify uncertainties in these simulations. However, conventional sensitivity analysis methods, including the widely used adjoint method, break down when applied to long-time-averages of chaotic systems. This is …
Page 1 of 3