Period-doubling routes to chaos in dc/dc converters operating in discontinuous mode have been reported in Reference 1 for the boost-type converter, and in Reference 2 for the buck-type converter. The chaotic behaviour associated with such systems is due to the presence of the feedback controller since these systems are open-loop stable.3 Thus, the choice of the feedback control function is very...

The purpose of this paper is to study bifurcation of an Internet congestion control algorithm, namely REM (Random Exponential Marking) algorithm, with communication delay. By choosing the delay constant as a bifurcation parameter, we prove that REM algorithm exhibits Hopf bifurcation. The formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic so...

This work investigates the application of bifurcation diagrams in the chaotic study of nonlinear RLC electrical circuits. The relevant second order differential equations were solved for ranges of appropriate parameters using Runge-Kutta approach. The solutions obtained were employed to produce bifurcation diagrams using Microsoft excel 2007. The mean estimate of 669 . 4   obtained from the b...

The Hodgkin–Huxley (HH) equations are parameterized by a number of parameters and show a variety of qualitatively different behaviors depending on the various parameters. This paper finds the bifurcation would occur when the leakage conductance gl is lower than a special value. The Hopf bifurcation of HH model is controlled by applying a simple and unified state-feedback method and the bifurcat...

Spatial interaction models have received a great deal of attention in the past decade. In recent years, also various approaches have been developed to take into account dynamic aspects of spatial interaction models, for instance, by means of optimal control theory, bifurcation theory or catastrophe theory. The present paper deals with new directions in dynamic spatial interaction research. It w...

This paper describes the utility of bifurcation control for suppressing pathological rhythms (such as cardiac alternans) in nonlinear models of cardiac electro-physiologic activity. Washout filter aided feedback controller is employed to control the location and stability of the bifurcations. Important features of the dynamic control laws include equilibrium preservation even in the presence of...

The bifurcations of control systems with a single input are studied. Based on the normal forms of control systems, the equilibrium sets are classified. A set of quadratic invariants for control systems is found. Sufficient conditions for a system to be linearly controllable or stabilizable near a bifurcation point are given in terms of the quadratic invariants.

Local output feedback stabilization with smooth nonlinear controllers is studied for parameterized nonlinear systems of which the linearized system possesses multiple pairs of imaginary eigen-values, and the bifurcated solution is unstable at the critical value of the parameter. Necessary and suucient conditions are sought for stabilization of such nonlinear bifurcated systems based on the proj...

This paper deals with an analytical investigation of the nonlinear behavior of an indirect filedoriented control of induction motor. In this context, steady-state solutions in mathematical model of this machine are discussed and an analytical study of the generic codimension one bifurcation, Hopf and Fold bifurcations, was made. Of special interest here is the codimension two bifurcation namely...