The Chaotic Saddle in the Lozi Map, Autonomous and Nonautonomous Versions

Robust Coordinated Design of UPFC Damping Controller and PSS Using Chaotic Optimization Algorithm

A Chaotic Optimization Algorithm (COA) based approach for the robust coordinated design of the UPFC power oscillation damping controller and the conventional power system stabilizer has been investigated in this paper. Chaotic Optimization Algorithms, which have the features of easy implementation, short execution time and robust mechanisms of escaping from local optimum, is a promising tool fo...

Nonautonomous saddle-Node bifurcations in the Quasiperiodically Forced logistic Map

We provide a local saddle-node bifurcation result for quasiperiodically forced interval maps. As an application, we give a rigorous description of saddle-node bifurcations of 3-periodic graphs in the quasiperiodically forced logistic map with small forcing amplitude. 2000 Mathematics Subject Classification.

Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautonomous Hénon Map

On the Dynamic of a Nonautonomous

Nonlinear difference equations of higher order are important in applications; such equations appear naturally as discrete analogues of differential and delay differential equations which model various diverse phenomena in biology, ecology, economics, physics and engineering. The study of dynamical properties of such equations is of great importance in many areas. The autonomous difference equat...

A New Chaotic Attractor from 2d Discrete Mapping via Border-collision Period-doubling Scenario

The discreet mathematical models are gotten directly via scientific experiences, or by the use of the Poincaré section for the study of a continuous model. One of these models is the Henon map. Many papers have described chaotic systems, one of the most famous being a two-dimensional discrete map which models the original Henon map [3, 4, 5, 7, 8]. Moreover, it is possible to change the form of...