A Modal Series Representation of Genesio Chaotic System
نویسندگان
چکیده
منابع مشابه
A Modal Series Representation of Genesio Chaotic System
In this paper an analytic approach is devised to represent, and study the behavior of, nonlinear dynamic chaotic Genesio system using general nonlinear modal representation. In this approach, the original nonlinear ordinary differential equations (ODEs) of model transforms to a sequence of linear timeinvariant ODEs. By solving the proposed linear ODEs sequence, the exact solution of the origina...
متن کاملIntelligent Backstepping Control for Genesio - Tesi Chaotic System using a Chaotic Particle Swarm OptimizationAlgorithm
Abstract—In this paper, an intelligent backstepping controller, tuned using a chaotic particle swarm optimization (CPSO), is proposed to control of chaos in Genesio-Tesi chaotic system. Thebackstepping method consists of parameters with positive values. The parameters are usually chosen optional by trial and error method. The improper selection of the parameters leads to inappropriate responses...
متن کاملStabilization of a Genesio-Tesi Chaotic System Using a Fractional Order PID Regulator
Based on the bifurcation diagram technique, this paper analyses the stabilization conditions of the nonlinear chaotic Genesio-Tesi system with the use of a fractional order control scheme. Stability analysis is performed for the closedloop nonlinear chaotic system behavior, for the fractional order integral and derivative actions by mean of the bifurcation diagram. Numerical simulation examples...
متن کاملAdaptive synchronization of Genesio–Tesi chaotic system via a novel feedback control
The Letter addresses control problem for adaptive synchronization of the Genesio–Tesi chaotic systems with three uncertain parameters. A new control scheme is proposed to make the states of two Genesio–Tesi systems asymptotically synchronized. Based on the Lyapunov method and linear matrix inequality (LMI) framework, an existence criterion for the control law is derived in terms of LMIs. A nume...
متن کاملA piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system
In this paper, an effective algorithm which is a combination of the spectral collocation method and the parametric iteration method (PIM) is proposed for simulating the solution of the chaotic Genesio system (CGS). Comparison with the fourth-order Runge–Kutta method (RK4) confirms the very high accuracy of the presented algorithm. The obtained results reveal that the proposed algorithm is a pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Instrumentation and Control Systems
سال: 2012
ISSN: 2249-1147
DOI: 10.5121/ijics.2012.2301