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 10 of 10 for “"Lorenz system"”.
-
Sensitivity of model output statistics on the Lorenz system
… in an idealized setting, I use the simplified Lorenz system of differential equations as the physical model to explore the sensitivity of linear MOS in this non-linear system. MOS finds a statistical relationship between imperfect model variables and true variables using linear regression. The …
-
Nonlinear Adaptive Estimation Andits Application To Synchronization Of Lorenz System
… estimation of unknown constant parameters for Lorenz-type transmitter are studied under the assumption that one of the three state variables is not transmitted and that transmitter parameters are not known apriori. An adaptive algorithm is proposed to estimate both the state and system …
-
The Lorenz System Near the Loss of the Foliation Condition
The well-known three-dimensional Lorenz system is classically studied via its reduction to the one-dimensional Lorenz map, which captures the full behaviour of the dynamics of the system. The reduction requires the existence of a stable foliation. We study a parameter regime where this so-called …
-
Adaptive Synchronization of Chaos for Secure Communication
… coupled logistic map, three dimensional Lorenz systems with and without time delay. Numerical simulation using MATLAB was conducted. The Lorenz system with time delay was studied numerically as well as by testing an analog circuit and comparisons was made between them. It has been pointed …
-
Adaptive State Feedback Control of Lorenz Systems to Its Non-Trivial Equilibrium
<p>The complex Lorenz system is a simplified nonlinear dynamical system, which is derived from the Navier-Stokes equations that govern a closed thermal convection loop. The Lorenz system is chaotic for large Rayleigh number. In this chaotic regime, we implement a linear state feedback controller to …
-
Backward stochastic Navier-Stokes equations in two dimensions
… in this dissertation. The backward stochastic Lorenz system is studied in the first part. Suitable a priori estimates for adapted solutions of the backward stochastic Lorenz system are obtained. The existence and uniqueness of solutions is shown by the use of suitable truncations and …
-
Quasi-orthogonal wideband radar waveforms based on chaotic systems
… There are many different types of chaotic systems. In this thesis, waveforms will be generated from the well-studied Lorenz system. Each waveform from the Lorenz system can be fully characterized by three parameters (o, b, and r) and a set of initial conditions, (xo, yo, zo). The particular …
-
Parallel multigrid for large-scale least squares sensitivity
… (long- time average) sensitivities for dynamical systems. Computing these sensitivities is essential to performing engineering analysis and design. The first technique is a novel approach to solving the "climate" sensitivity problem for periodic systems. A small change to the traditional adjoint …
-
Exceptional surfaces as topological obstructions in dynamical systems
… to the general nonlinear differential system. In particular, we develop a formulation of the Berry phase for classical dynamical systems and demonstrate its usage on a toy-model. Thereafter we discuss classical eigensystem degeneracy and analyse its topological properties as an …
-
Statistical Inference for Stochastic Differential Equations using Splitting Schemes
… study of the three-dimensional stochastic Lorenz system. <br /> Expanding this work to second-order SDEs, we introduce and adapt the Strang splitting scheme to address hypoelliptic systems and scenarios involving partial observations caused by the unobserved velocity variable. The proposed …