Can I read Periodic Attractors of Complex Damped Non-linear Systems on EtoBox?

Periodic Attractors of Complex Damped Non-linear Systems by Gamal M. Mahmoud; S.A. Aly is a Engineering article available to read on EtoBox.

What is Periodic Attractors of Complex Damped Non-linear Systems about?

The aim of the present paper is to investigate the dynamics of a class of complex damped non-linear systems described by the equation where z(t)"x(t)#iy(t), i"(!1, the bar denotes the complex conjugate and is a small positive parameter. The periodic attractors of Eq. ( \* ) are important in the study of these systems, since they represent stationary or repeatable behavior. This equation appears in several "elds of physics, mechanics and engineering, for example, in high-energy accelerators, rotor dynamics, robots and shells. In the numerical investigation of this work we used the indicatrix method which has been introduced and extended in our previous studies to study the existence of the periodic attractors of our systems. To illustrate these periodic attractors we constructed Poincare & plots at some of the parameter values which are obtained by the indicatrix method for the case , f""z" and P( t)"sin 2t as an example. Our recent method which is based on the generalized averaging method is used to obtain approximate analytical solutions of Eq. ( \* ) and investigate the stability properties of the solutions. We compared the analytical results of our example with the numerical res

Who reads Periodic Attractors of Complex Damped Non-linear Systems?

Author

Gamal M. Mahmoud; S.A. Aly

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0020-7462)

Published

2000

Language

EN

Field

Engineering (Physical Sciences)