Dynamical systems theory for nonlinear evolution equations

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multistage Modified Sinc Method for Solving Nonlinear Dynamical Systems

The sinc method is known as an ecient numerical method for solving ordinary or par-tial dierential equations but the system of dierential equations has not been solved by this method which is the focus of this paper. We have shown that the proposed version of sinc is able to solve sti system while Runge-kutta method can not able to solve. Moreover, Due to the great attention to mathematical mod...

متن کامل

Dynamical Systems Method (DSM) for general nonlinear equations

If F : H → H is a map in a Hilbert space H , F ∈ C2 loc, and there exists y such that F(y) = 0, F (y) 6= 0, then equation F(u) = 0 can be solved by a DSM (dynamical systems method). This method yields also a convergent iterative method for finding y, and this method converges at the rate of a geometric series. It is not assumed that y is the only solution to F(u) = 0. A stable approximation to ...

متن کامل

Nonlinear Dynamical Systems and Kcc - Theory

Nonlinear dynamical systems can be uniquely investigated by a geometric theory (KCC-theory). The five KCC-invariants express intrinsic properties of the nonlinear dynamical systems. The second invariant as a curvature tensor determines the stability of the systems. The third invariant as a torsion tensor expresses the chaotic behavior. As an example, the KCC-theory is applied to a geodynamical ...

متن کامل

Dynamical Systems Method for solving nonlinear operator equations

Consider an operator equation (*) B(u) + u = 0 in a real Hilbert space, where > 0 is a small constant. The DSM (Dynamical Systems Method) for solving equation (*) consists of finding and solving a Cauchy problem: u̇ = Φ(t, u), u(0) = u0, t ≥ 0, which has the following properties: 1) it has a global solution u(t), 2) this solution tends to a limit as time tends to infinity, i.e., u(∞) exists, 3) ...

متن کامل

Dynamical systems method for solving nonlinear equations with monotone operators

A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopping rule, based on a discrepancytype principle is proposed and justified mathematically. The results of two numerical experiments are presented. They show that the proposed version of DSM is numerically efficient. The...

متن کامل

ذخیره 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: Physical Review E

سال: 2010

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.82.036609