Results 1  10
of
7,397
Closed Form Solutions of Hybrid Systems
, 1999
"... this paper we present a new symbolic approach to hybrid systems. Hybrid systems are systems containing both, continuous and discrete changing quantities. We model hybrid systems using hybrid automata: Hybrid automata extend the classical notion of finite state machines by combining differential equa ..."
Abstract
 Add to MetaCart
equations to model the dynamic behavior of systems with a finite control. In contrast to other approaches we consider a hybrid automata as a generalization of differential equations and develop the notion of a symbolic "closed form" solution of a hybrid automata. A closed form solution
Some closed form solutions to the Navier Stokes equations
"... An algorithm for generating a class of closed form solutions to the NavierStokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations, °ow reversal, and hysteresis. 1. ..."
Abstract

Cited by 6 (6 self)
 Add to MetaCart
An algorithm for generating a class of closed form solutions to the NavierStokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations, °ow reversal, and hysteresis. 1.
Some Closed Form Solutions to the NavierStokes Equations
"... Abstract An algorithm for generating a class of closed form solutions to the NavierStokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations,°ow reversal, and hysteresis. 1 ..."
Abstract
 Add to MetaCart
Abstract An algorithm for generating a class of closed form solutions to the NavierStokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations,°ow reversal, and hysteresis. 1
On the Closed Form Solution for the Geodesics in SdS Space
, 2008
"... The closed form solution for the geodesics of classical particles in SdS space are obtained in terms of hyperelliptic modular functions and multiple hypergeometric functions. The closed form solution for the five roots of the fifth degree polynomial are found giving the branch places on the genus tw ..."
Abstract
 Add to MetaCart
The closed form solution for the geodesics of classical particles in SdS space are obtained in terms of hyperelliptic modular functions and multiple hypergeometric functions. The closed form solution for the five roots of the fifth degree polynomial are found giving the branch places on the genus
Malthus and Solow − a note on closed−form solutions
"... Recently, Jones (2002} and Barro and Sala−í−Martin (2004) pointed out that the neoclassical growth model with a Cobb−Douglas technology has a closed−form solution. This note makes a similar remark for the Malthusian model: I develop and characterize a closed−form solution. Moreover, I emphasize stru ..."
Abstract
 Add to MetaCart
Recently, Jones (2002} and Barro and Sala−í−Martin (2004) pointed out that the neoclassical growth model with a Cobb−Douglas technology has a closed−form solution. This note makes a similar remark for the Malthusian model: I develop and characterize a closed−form solution. Moreover, I emphasize
Error Analysis on ClosedForm Solutions for Kinematic Calibration
, 1996
"... Many closedform solutions have been developed for calibrating robot kinematic parameters. The existing closedform solutions for kinematic calibration can be classfied into two categories according to the information they used. Methods estimating kinematic parameters by using pose measurements are ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
Many closedform solutions have been developed for calibrating robot kinematic parameters. The existing closedform solutions for kinematic calibration can be classfied into two categories according to the information they used. Methods estimating kinematic parameters by using pose measurements
PILES: SOME CLOSED FORM SOLUTIONS
"... ABSTRACT: Simple closed form expressions are presented for the problem of ground settlement effect on the axial response of a vertical pile. The solutions are based on Winkler model, and allow evaluation of soilpile interaction under a variety of green field ground settlement profile. An example on ..."
Abstract
 Add to MetaCart
ABSTRACT: Simple closed form expressions are presented for the problem of ground settlement effect on the axial response of a vertical pile. The solutions are based on Winkler model, and allow evaluation of soilpile interaction under a variety of green field ground settlement profile. An example
On the Closed Form Solutions of the Saint Chapter
"... The governing equations (3)(5) will also apply for each layer (i = 1, 2) of this beam. The compatibility equation (5), which will be simplified somewhat since G is now constant for each layer, becomes To solve this problem, conditions at the interfaces, in addition to the equations (3) where The ..."
Abstract
 Add to MetaCart
THE behavior of a single flattopped pressure wave at the junction formed by the intersection of two ducts having equal cross sectional areas has recently been investigated [1, 2]. 2 The present brief is concerned with a similar study in which the crosssectional area of the side branch is one half or one
An ADM Closed Form Solution for Vibrating Strings
"... Abstract: In this study, a closed form solution is obtained for a system of wave equations coupled in parallel with distributed viscous damping and springs, utilizing Adomian decomposition method (ADM). The after treatment technique is adopted to overcome shortcomings of Adomian convergency. ..."
Abstract
 Add to MetaCart
Abstract: In this study, a closed form solution is obtained for a system of wave equations coupled in parallel with distributed viscous damping and springs, utilizing Adomian decomposition method (ADM). The after treatment technique is adopted to overcome shortcomings of Adomian convergency.
Results 1  10
of
7,397