Chaos, Complexity, and Inference (36-462) - Lecture 3: Attractors, Some More Chaotic Systems, Mixing

Chaos, Complexity, and Inference (36-462) - Lecture 3

Design and Simulation of Adaptive Neuro Fuzzy Inference Based Controller for Chaotic Lorenz System

Chaos is a nonlinear behavior that shows chaotic and irregular responses to internal and external stimuli in dynamic systems. This behavior usually appears in systems that are highly sensitive to initial condition. In these systems, stabilization is a highly considerable tool for eliminating aberrant behaviors. In this paper, the problem of stabilization and tracking the chaos are investigated....

Simplest 3D continuous-Time quadratic Systems as Candidates for Generating multiscroll Chaotic attractors

In many situations, the existence of several equilibrium points in a dynamical system makes its dynamics more complex and allows some special structures. Examples include the well-known multiscroll attractors ([Wang, 2009; Qi et al., 2008; Liu & Chen, 2004; Li, 2008; Wang et al., 2009; Lü et al., 2008; Yu et al., 2006; Yu et al., 2008, 2010a; Wang & Chen, 2012] and references therein) such as c...

Global Finite Time Synchronization of Two Nonlinear Chaotic Gyros Using High Order Sliding Mode Control

In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...

Dynamical behavior and synchronization of chaotic chemical reactors model

In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of proposed method is proved by Barbalate’s lemma. Numeri...