The paper is devoted to the bifurcation analysis and the Conley index in Hamiltonian
dynamical systems. We discuss the phenomenon of appearance (disappearance) of …

It has been pointed out that the anomalous enstrophy dissipation in non-smooth weak
solutions of the two-dimensional Euler equations has a clue to the emergence of the inertial …

On a Riemannian manifold (M, g) we consider the k+ 1 functions F 1,..., F k, G and construct
the vector fields that conserve F 1,..., F k and dissipate G with a prescribed rate. We study the …

Given a dynamical system with m independent conserved quantities, we construct a
multiparameter family of new systems in which these quantities evolve monotonically and …

Expositions of the Euler equations for the rotation of a rigid body often invoke the idea of a
specially damped system whose energy dissipates while its angular momentum magnitude …

В работе применяется топологический подход для поиска и анализа устойчивости
относительных равновесий для системы трех вихрей равнойинтенсивности в круговой …

Работа посвящена использованию бифуркационного анализа и индекса Конли в
гамильтоновых динамических системах. Приведено доказательство теоремы о …

This paper presents a numerical study on the dynamics of point vortex pairs moving on
convex closed surfaces (ovaloids) approximated by triangular icosahedral meshes. Firstly …

The present work deals with vortical flow instabilities, in particular with those that appear in
the wake left by aircraft, wind turbines or any other body surrounded by fluid, generating a …

El presente trabajo trata inestabilidades en flujos con vórtices, en particular, aquellas que
aparecen en la estela dejada por aeronaves, aerogeneradores o cualquier otro cuerpo …