The question of how best to model rhythmic movements at self-selected amplitude-frequency combinations, and their variability, is a long-standing issue. This study presents a systematic analysis of a coupled oscillator system that has successfully accounted for the experimental result that humans' preferred oscillation frequencies closely correspond to the linear resonance frequencies of the bi...

Title of dissertation: SYNCHRONIZATION IN CHAOTIC SYSTEMS: COUPLING OF CHAOTIC MAPS, DATA ASSIMILATION, AND WEATHER FORECASTING Seung-Jong Baek, Doctor of Philosophy, 2007 Dissertation directed by: Distinguished University Professor Edward Ott Department of Electrical and Computer Engineering The theme of this thesis is the synchronization of coupled chaotic systems. Background and introductory...

chaotic circuits coupled by one resistor. By carrying out that our very simple coupled circuit can exhibit spatiotemporal chaos as well as quasi-synchronizations of chaos in spite of tha t the number of chaotic subcircuit.s is only four. We consider that our model would be good model to clarify mechanism and characteristics of spatiotemporal chaos because it is the simplest real physical system...

In this paper, a new method is introduced to implement chaotic generators based on the Henon map and Lorenz chaotic generators given by the state equations using the Field Programmable Gate Array (FPGA). The aim of this method is to increase the frequency of the chaotic generators. The new method is based on the MATLAB Software, Xilinx System Generator, Xilinx Alliance tools and Synplicity Synp...

First, this paper announces a seven-term novel 3-D chaotic system with a cubic nonlinearity and two quadratic nonlinearities. The phase portraits of the novel 3-D chaotic system are displayed and the mathematical properties are discussed. The proposed novel 3-D chaotic system has three equilibrium points, which are all unstable. We shall show that the equilibrium point at the origin is a saddle...

This paper presents a unified model, consisting of a linear dynamic system and a bounded static nonlinear operator. Most discrete-time chaotic systems, such as chaotic neural networks, Chua’s circuits, and Hénon map etc, can be transformed into this unified model. Based on the H∞ performance analysis of the estimation error system between the unified model and its improved Luenberger-like filte...