Title of article
Bifurcations, chaos and synchronization in ADVP circuit with parallel resistor
Author/Authors
A.E. Matouk، نويسنده , , H.N Agiza، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
11
From page
259
To page
269
Abstract
In this work we investigate the dynamical behaviors of Van der Pol–Duffing circuit (ADVP) with parallel resistor. The model
is described by a continuous-time three dimensional autonomous system. The stability conditions of the equilibria are analyzed.
The existence of periodic solutions and their stabilities about the node equilibrium point of the system are studied by using Hopf’s
theorem and Hsü and Kazarinoff theorem. Lyapunov spectrum is calculated for the proposed system. Adaptive synchronization
using backstepping design is applied successfully to the system. Chaotic behaviors and the efficiency of the synchronization method
are verified by numerical simulations.
© 2007 Elsevier Inc. All rights reserved
Keywords
Backstepping design approach , stability , Super (sub)-critical bifurcations , Chaos , Lyapunov exponents , Bifurcations , fractal dimension , Van der Pol–Duffing circuit , Synchronization
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936867
Link To Document