DETECTION OF A HOMOCLINIC ORBIT IN COMPOUND ELASTIC PENDULUM

Svetoslav Nikolov; Daniela Zaharieva

Научен доклад ID 1352 : 2016/3

DETECTION OF A HOMOCLINIC ORBIT IN COMPOUND ELASTIC PENDULUM

Svetoslav Nikolov, Daniela Zaharieva

The simplest way to find complex (chaotic) behavior in a Hamiltonian system, e.g. as a starting point for consideration, is to look for homoclinic (heteroclinic) orbit(s).

In this paper, under suitable assumptions, we detect the existence of a homoclinic orbit of a nonintegrable Hamiltonian system with two degrees of freedom – a compound elastic pendulum and present the equation for it.

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elastic pendulum homoclinic orbit nonintegrable Hamiltonian systemеластично махало хомоклинична орбита неинтегруема хамилтонава системаSvetoslav Nikolov Daniela Zaharieva

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