Er-Wei Bai

Synchronization of two Lorenz systems using active control

Abstract Using techniques from active control theory, we demonstrate that a coupled Lorenz system can be synchronized. The synchronization is verified using the Simulink feature in MATLAB.

Sequential synchronization of two Lorenz systems using active control

Abstract Using techniques from active control theory, we demonstrate that a coupled Lorenz system can be synchronized. The application of the control elements is sequentially applied and the ensuing synchronization is displayed.

On the synchronization of a class of electronic circuits that exhibit chaos

Abstract The synchronization of two nonlinear electronic circuits that exhibit chaos is numerically demonstrated using techniques from modern control theory. These circuits have been used to model a “jerk” equation and can either be identical or not identical. The technique is initially described using linear circuits.

Synchronization and Control of Chaotic Systems

Abstract Given a chaotic system and an arbitrarily given reference signal, we design a controller based on the reference signal so that the output of the chaotic system follows the given reference signal asymptotically. Examples of a Duffing system being controlled by a reference signal or being synchronized to another Duffing system are presented.

Synchronization of chaotic behavior in nonlinear Bloch equations

Abstract Abergel recently demonstrated that the set of nonlinear Bloch equations would admit chaotic solutions for a certain set of numerical values assigned to the system constants and initial conditions [Phys. Lett. A 302 (2002) 17]. We demonstrate in this Letter that two Bloch systems described with different values of system constants and initial conditions can be synchronized together using techniques from nonlinear control theory.

On the capacitance of a cube

Abstract The capacitance of a metallic cube is analyzed using the method of subareas and modern computing tools. This calculation extends the work of Reitan and Higgins in order to obtain a more accurate value for the capacitance.

A transmission line simulator for high-speed interconnects

Transmission line effects in high-speed interconnects may cause reliability problems in digital integrated circuits. It is shown how signals at user designated points on a multipoint interconnect can be obtained at discrete instances of time. The transmission line simulator (TLSIM) program is based on a method of iteratively updating the signal values at a node (point) based on the previous signal values at neighboring nodes. The novel characteristics of the method avoid the time-consuming numerical solution of partial differential equations in time and distance along the length of an interconnect. The method is especially significant for power and clock nets where the number of interconnects can be quite large. Included are preliminary results on stability analysis and experimental results. >

Dynamics and synchronization of the Hastings–Powell model of the food chain

Abstract The dynamic behavior of the nonlinear model suggested by Hastings and Powell to describe a three species food chain has been investigated. The synchronization of two models with different set of parameters has been achieved by using techniques from modern control theory.

On the Uçar prototype model

Using the model recently proposed by Ucar, we develop a technique that will allow two Ucar systems to be synchronized together. Numerical results exemplify the synchronization procedure.

A controller for the logistic equations

Abstract We demonstrate that the synchronization controller recently proposed for the logistic equations can be generalized. Using the generalized controller, chaotic systems can be synchronized to and with other linear or chaotic systems.