Numerical continuation of invariant solutions of the complex Ginzburg–Landau equation

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

Numerical continuation of normally hyperbolic invariant manifolds

This paper deals with the numerical continuation of invariant manifolds regardless of the restricted dynamics. Common examples of such manifolds include limit sets, codimension 1 manifolds separating basins of attraction (separatrices), stable/unstable/centre manifolds, nested hierarchies of attracting manifolds in dissipative systems and manifolds appearing in bifurcations. The approach is bas...

متن کامل

Numerical Methods for the Continuation of Invariant Tori

To Amanda and our child iii ACKNOWLEDGEMENTS First and foremost, the author thanks his advisor for being available for frequent discussions about hyperbolicity, Fréchet derivatives, and other minutiae. Thanks also go to the School of Mathematics at Georgia Tech for supporting the author financially with a teaching assistantship for two years, and to the National Science

متن کامل

Numerical Solutions of the Schrödinger Equation

for the energy eigenvalues En and the associated energy eigenfunctions (stationary states) Ψn. There are a number of important cases for which the stationary Schrödinger equation can be solved analytically, e.g., the harmonic oscillator (in any number of dimensions) and the hydrogen atom. However, in most cases of practical interest (in, e.g., atomic, molecular, and solid-state physics) exact o...

متن کامل

Polynomially bounded solutions of the Loewner‎ ‎differential equation in several complex variables

‎We determine the‎ ‎form of polynomially bounded solutions to the Loewner differential ‎equation that is satisfied by univalent subordination chains of the‎ ‎form $f(z,t)=e^{int_0^t A(tau){rm d}tau}z+cdots$‎, ‎where‎ ‎$A:[0,infty]rightarrow L(mathbb{C}^n,mathbb{C}^n)$ is a locally‎ ‎Lebesgue integrable mapping and satisfying the condition‎ ‎$$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t‎ ‎[A(tau)...

متن کامل

Group Invariant Solutions of Burgers-Poisson Equation

In this paper, a nonlinear dispersive wave equation Burgers-Poisson (BP) equation is considered. We present a classification of group invariant solutions for the BP equation by using classical Lie method. Mathematics Subject Classification; 35Q53

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: Communications in Nonlinear Science and Numerical Simulation

سال: 2018

ISSN: 1007-5704

DOI: 10.1016/j.cnsns.2018.01.019