مرکز منطقه ای اطلاع رساني علوم و فناوري - A graphical construction of phase trajectories for <img src="/images/tex/43.gif" alt="\\ddot{x} +\\phi (\\dot{x} )g(x)+\\psi (\\dot{x} )h(x)"> = 0

DocumentCode :

866799

Title :

A graphical construction of phase trajectories for $\\ddot{x} +\\phi (\\dot{x} )g(x)+\\psi (\\dot{x} )h(x)$ = 0

Author :

Romer, E.

Author_Institution :

Wright-Patterson AFB, Dayton, OH, USA

Volume :

Issue :

fYear :

1964

fDate :

10/1/1964 12:00:00 AM

Firstpage :

581

Lastpage :

581

Abstract :

This communication provides a graphical technique for the construction of the equation $\\ddot{x} + \\phi (dot{x})g(x) + \\psi (dot{x})h(x) = 0$ . This technique can be carried out with, at most, two triangles and a compass and is suited to the construction of phase plane trajectories of nonlinear second-order differential equations.

Keywords :

Nonlinear differential equations; Automatic control; Books; Communication system control; Convergence; Differential equations; Fourier transforms; Geometry; Nonlinear equations;

fLanguage :

English

Journal_Title :

Automatic Control, IEEE Transactions on

Publisher :

ieee

ISSN :

0018-9286

Type :

jour

DOI :

10.1109/TAC.1964.1105727

Filename :

1105727

Link To Document :

https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=866799