On the Question of Strong Nonlinearity of a Thin String in Real Medium
Abstract
In present paper the chaotic dynamics of thin string is described. It-s a considered the case when the one of two end of a string is a free. Other end take out from equilibrium state very sharply and instantly it will bake in initial point. Due to Lagrange-s method of minimal action the nonlinear system of differential equation describing of moving end is obtained. One of them is a transversal equation. Joint decision of them permit describe nonlinear dynamics of chaotic moving of a string. Some special case is considered and of non trivial forms of string is described. In one of them the form of a string is oscillating. And for example in other case the form is very intricate. Some other maximum cases are described too. The theorem is proofed concerning determination of particle view decision. At angles near nineteen degree the decision is factorization. And at other degrees the decision is add.
How to cite
Гладков С.О., Рабаданов Р.Г. К теории сильно нелинейного движения тонкой струны в реальной среде // Нелинейный мир. 2008. № 7.
