Title of Dissertation : LOW DIMENSIONAL CHAOS : PHASE SYNCHRONIZATION
نویسندگان
چکیده
Title of Dissertation: LOW DIMENSIONAL CHAOS: PHASE SYNCHRONIZATION AND INDETERMINATE BIFURCATIONS Romulus Breban, Doctor of Philosophy, 2003 Dissertation directed by: Professor Edward Ott Department of Physics We address two problems of both theoretical and practical importance in dynamical systems: Phase Synchronization of Chaos in the Presence of Two Competing Periodic Signals, and Saddle-Node Bifurcations on Fractal Basin Boundaries. LOW DIMENSIONAL CHAOS: PHASE SYNCHRONIZATION AND INDETERMINATE BIFURCATIONS
منابع مشابه
Synchronization of Network Coupled Chaotic and Oscillatory Dynamical Systems
Title of dissertation: SYNCHRONIZATION OF NETWORK COUPLED CHAOTIC AND OSCILLATORY DYNAMICAL SYSTEMS Gilad Barlev, Doctor of Philosophy, 2013 Dissertation directed by: Professor Edward Ott Department of Physics We consider various problems relating to synchronization in networks of coupled oscillators. In Chapter 2 we extend a recent exact solution technique developed for all-to-all connected Ku...
متن کاملTitle of Dissertation: Application of Chaotic Synchronization and Controlling Chaos to Communications Application of Chaotic Synchronization and Controlling Chaos to Communications
Title of Dissertation: Application of Chaotic Synchronization and Controlling Chaos to Communications Vasily Dronov, Doctor of Philosophy, 2005 Dissertation directed by: Professor Edward Ott Department of Electrical and Computer Engineering This thesis addresses two important issues that are applicable to chaotic communication systems: synchronization of chaos and controlling chaos. Synchroniza...
متن کاملHybrid Control to Approach Chaos Synchronization of Uncertain DUFFING Oscillator Systems with External Disturbance
This paper proposes a hybrid control scheme for the synchronization of two chaotic Duffing oscillator system, subject to uncertainties and external disturbances. The novelty of this scheme is that the Linear Quadratic Regulation (LQR) control, Sliding Mode (SM) control and Gaussian Radial basis Function Neural Network (GRBFNN) control are combined to chaos synchronization with respect to extern...
متن کاملChaotic Attractor in the Kuramoto Model
The Kuramoto model of globally coupled phase oscillators is an essentially nonlinear dynamical system with a rich dynamics including synchronization and chaos.We study the Kuramoto model from the standpoint of bifurcation and chaos theory of low-dimensional dynamical systems. We find a chaotic attractor in the four-dimensional Kuramoto model and study its origin. The torus destruction scenario ...
متن کاملGenerating Chaos from A System of Two Stable First Order Conventional Digital Phase Locked Loops
A technique for obtaining chaotic response from a stable first order conventional digital phase locked loop (DPLL) driven by another stable first order conventional DPLL has been reported in this paper. The dynamics of the driven system has been characterized using the dynamical measures of Lyapunov exponent and Correlation dimension. It is found that the resultant chaos is low dimensional, whi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004