Analysis of a New Quadratic 3D Chaotic Attractor

Analysis of a New Quadratic 3D Chaotic Attractor

and Applied Analysis 3 0 10 0 10 0 5 −10 −10 x y z (a) 0 5 10 0 5 −10 −5 −5 x y

A New Chaotic Attractor Coined

Attractor Based Analysis of Centrally Cracked Plate Subjected to Chaotic Excitation

The presence of part-through cracks with limited length is one of the prevalent defects in the plate structures. Due to the slight effect of this type of damages on the frequency response of the plates, conventional vibration-based damage assessment could be a challenging task. In this study for the first time, a recently developed state-space method which is based on the chaotic excitation is ...

A three-scroll chaotic attractor

This Letter introduces a new chaotic member to the three-dimensional smooth autonomous quadratic system family, which derived from the classical Lorenz system but exhibits a three-scroll chaotic attractor. Interestingly, the two other scrolls are symmetry related with respect to the z-axis as for the Lorenz attractor, but the third scroll of this three-scroll chaotic attractor is around the z-a...

A New Synchronization Scheme for General 3D Quadratic Chaotic Systems in Discrete-Time

In this paper, a new general chaos synchronization scheme is proposed for coupled arbitrary 3-D quadratic chaotic dynamical systems in discrete-time. The proposed synchronization method, based on nonlinear controllers and Lyapunov stability theory, is theoretically rigorous. The derived synchronization criterion can be also applicable to a large class of discrete-time chaotic systems. Our contr...