Morse index properties of colliding solutions to the N-body problem
Motion of a particle submitted to dry friction and to normal percussions.
Motion of a rigid body under random perturbation.
Motion with friction of a heavy particle on a manifold - applications to optimization
Let Φ : H → R be a C2 function on a real Hilbert space and ∑ ⊂ H x R the manifold defined by ∑ := Graph (Φ). We study the motion of a material point with unit mass, subjected to stay on Σ and which moves under the action of the gravity force (characterized by g>0), the reaction force and the friction force ( is the friction parameter). For any initial conditions at time t=0, we prove the existence of a trajectory x(.) defined on R+. We are then interested in the asymptotic behaviour of...
Motion with friction of a heavy particle on a manifold. Applications to optimization
Let be a function on a real Hilbert space and the manifold defined by Graph . We study the motion of a material point with unit mass, subjected to stay on and which moves under the action of the gravity force (characterized by ), the reaction force and the friction force ( is the friction parameter). For any initial conditions at time , we prove the existence of a trajectory defined on . We are then interested in the asymptotic behaviour of the trajectories when . More precisely,...
Motor-Mediated Microtubule Self-Organization in Dilute and Semi-Dilute Filament Solutions
We study molecular motor-induced microtubule self-organization in dilute and semi-dilute filament solutions. In the dilute case, we use a probabilistic model of microtubule interaction via molecular motors to investigate microtubule bundle dynamics. Microtubules are modeled as polar rods interacting through fully inelastic, binary collisions. Our model indicates that initially disordered systems of interacting rods exhibit an orientational instability...
Mouvement à un nombre fini de degrés de liberté avec contraintes unilatérales : cas avec perte d'énergie
Mouvement d'un projectile dans l'air
Mouvements relatifs à la surface de la terre
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...
Multibump periodic motions of an infinite lattice of particles.
Multibump solutions for a class of lagrangian systems slowly oscillating at infinity
Multiple closed orbits for singular conservative systems via geodesic theory
Multiple homoclinic orbits for a class of conservative systems
Multiple orbits for hamiltonian systems on starshaped surfaces with symmetries
Multiple periodic solutions to a suspension bridge O. D. E.
Multiple solutions for a class of -Laplacian systems.
Multiple solutions of the forced double pendulum equation
Multiplicity of Subharmonic solutions of Forces Hamiltonian systems near an equilibrium.
Multi-time sprays and -traceless maps on .