Permutations; isotropy and smooth cyclic group actions on definite 4-manifolds.
Perturbation of Hamiltonian Systems with Keplerian Potentials.
Perturbations of Systems Describing the Motion of a Particle in Central Fields
The present paper deals with the KAM-theory conditions for systems describing the motion of a particle in central field.
Phase space of rolling solutions of the tippe top.
Planimetry jako neholonomní mechanické soustavy
Poincaré-Cartan forms in higher order variational calculus on fibred manifolds.
The aim of the present work is to present a geometric formulation of higher order variational problems on arbitrary fibred manifolds. The problems of Engineering and Mathematical Physics whose natural formulation requires the use of second order differential invariants are classic, but it has been the recent advances in the theory of integrable non-linear partial differential equations and the consideration in Geometry of invariants of increasingly higher orders that has highlighted the interest...
Poisson–Lie sigma models on Drinfel’d double
Poisson sigma models represent an interesting use of Poisson manifolds for the construction of a classical field theory. Their definition in the language of fibre bundles is shown and the corresponding field equations are derived using a coordinate independent variational principle. The elegant form of equations of motion for so called Poisson-Lie groups is derived. Construction of the Poisson-Lie group corresponding to a given Lie bialgebra is widely known only for coboundary Lie bialgebras. Using...
Possibly Longest Food Chain: Analysis of a Mathematical Model
We consider the number of trophic levels in a food chain given by the equilibrium state for a simple mathematical model with ordinary differential equations which govern the temporal variation of the energy reserve in each trophic level. When a new trophic level invades over the top of the chain, the chain could lengthen by one trophic level. We can derive the condition that such lengthening could occur, and prove that the possibly longest chain is globally stable. In some specific cases,...
Poznámka k pojednání Františka Nožičky „O jednom modelu v klasickém problému dvou těles‟
Pozoruhodná řešení problému těles
Precession of the perihelion within a generalized theory for the two body problem
Sulla base di una teoria generalizzata di Meccanica Classica per il problema dei Due Corpi, recentemente formulata dall'autore, si considera la questione della precessione del perielio dei pianeti, assente nel caso Newtoniano. Si mostra come la descrizione di questo fenomeno in tale teoria generalizzata è sostanzialmente equivalente a quella offerta dalla Relatività Generale.
Precessioni ad asse verticale del girostato pesante
Si esamina la possibilità dinamica di precessioni ad asse verticale di un girostato, alla Volterra, pesante e fissato senza attrito per un suo punto. Si riconosce che per essere possibili moti di questo tipo, necessariamente, almeno una delle due velocità di precessione o rotazione propria deve essere costante.
Precessioni ad asse verticale del solido pesante
Precessioni regolari di un giroscopio soggetto a forze newtoniane e a forze di potenza nulla
Predictive extension of a singular lagrangian system
Presymplectic lagrangian systems. I : the constraint algorithm and the equivalence theorem
Presymplectic lagrangian systems. II : the second-order equation problem
Pricing multi-asset financial derivatives with time-dependent parameters -- Lie algebraic approach.
Principle of objectivity and classical physics.
Problème diophantien des moments et modèle d'Ising