Analytical-Algebraic Approach to Solving Chaotic System
نویسندگان
چکیده
The aim of this paper is to present the application of the analytical series technique to study properties of the nonlinear chaotic dynamical systems. More specifically, Laplace–Adomian decomposition method is applied to Rössler system and the so-called generalized Lorenz system. Some advantages and possible applications of this approach are discussed. Results are illustrated by numerical computations.
منابع مشابه
Convergence of an Approach for Solving Fredholm Functional Integral Equations
In this work, we give a product Nyström method for solving a Fredholm functional integral equation (FIE) of the second kind. With this method solving FIE reduce to solving an algebraic system of equations. Then we use some theorems to prove the existence and uniqueness of the system. Finally we investigate the convergence of the method.
متن کاملJacobi Operational Matrix Approach for Solving Systems of Linear and Nonlinear Integro-Differential Equations
This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product. The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations which appear in various fields of science such as physics and engineering. The Operational matr...
متن کاملDesign a Hybrid Recommender System Solving Cold-start Problem Using Clustering and Chaotic PSO Algorithm
One of the main challenges of increasing information in the new era, is to find information of interest in the mass of data. This important matter has been considered in the design of many sites that interact with users. Recommender systems have been considered to resolve this issue and have tried to help users to achieve their desired information; however, they face limitations. One of the mos...
متن کاملChaotic versus Classical Stream Ciphers – a Comparative Study
Chaotic and classical (binary) stream ciphers are compared with respect to their cryptographical properties. Possible synchronization schemes, algebraic and analytical properties as well as design and implementation aspects are discussed. For two example classes with similar system structures it is shown that chaotic stream ciphers can achieve a higher level of complexity than classical binary ...
متن کاملConservative chaotic flow generated via a pseudo-linear system
Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 26 شماره
صفحات -
تاریخ انتشار 2016