Algebro-geometric Integration in Classical and Statistical Mechanics
Applicazioni del teorema di Nekhoroshev alla meccanica celeste
The application of Nekhoroshev theory to selected physical systems, interesting for Celestial Mechanics, is here reviewed. Applications include the stability of motions in the weakly perturbed Euler-Poinsot rigid body and the stability of the so-called Lagrangian equilibria , in the spatial circular restricted three-body problem. The difficulties to be overcome, which require a nontrivial extension of the standard Nekhoroshev theorem, are the presence of singularities in the fiber structure...
Diferenciální geometrie a fyzikální teorie
Multibody System Mechanics: Modelling, Stability, Control, and Robustness by V. A. Konoplev and A. Cheremensky
The Union of Bulgarian Mathematicians starts a new series of publica- tions: Mathematics and Its Applications. The first issue of the series is “Multi- body System Mechanics: Modelling, Stability, Control and Robustness”. The authors are well known mathematicians with various published books and articles. Professor Vladimir Konoplev works in the Institute of Problems of Mechanical Engineering, Russian Academy of Sciences (St. Petersburg, Russia), while Professor Alexander Cheremensky works...
New trends in mechanics. I. Generalized differential variational principles in rational mechanics.
Problème général de la stabilité du mouvement
The Rigid Body Dynamics: Classical and Algebro-geometric Integration
Vectors of the Body Mass Moments