Modeling, chaotic behavior, and control of dissipation properties of hysteretic systems.
Modélisation de la transition vers la turbulence
Multibump periodic motions of an infinite lattice of particles.
Multiple closed orbits for singular conservative systems via geodesic theory
Multiple periodic solutions to a suspension bridge O. D. E.
Nonlinear Torsional Vibration of Shaft with two Disks
Nontrivial periodic solutions for strong resonance hamiltonian systems
Normal Modes for Nonlinear Hamiltonian Systems.
Normal modes of a lagrangian system constrained in a potential well
Note to the Lagrange stability of excited pendulum type equations
Numerical analysis of parallel replica dynamics
Parallel replica dynamics is a method for accelerating the computation of processes characterized by a sequence of infrequent events. In this work, the processes are governed by the overdamped Langevin equation. Such processes spend much of their time about the minima of the underlying potential, occasionally transitioning into different basins of attraction. The essential idea of parallel replica dynamics is that the exit distribution from a given well for a single process can be approximated by...
On a class of forced nonlinear oscillators at resonance
On a deformed version of the two-disk dynamo system
We give some deformations of the Rikitake two-disk dynamo system. Particularly, we consider an integrable deformation of an integrable version of the Rikitake system. The deformed system is a three-dimensional Hamilton-Poisson system. We present two Lie-Poisson structures and also symplectic realizations. Furthermore, we give a prequantization result of one of the Poisson manifold. We study the stability of the equilibrium states and we prove the existence of periodic orbits. We analyze some properties...
On Lyapunov stability/instability of equilibria of free damped pendulum with periodically oscillating suspension point
We discuss Lyapunov stability/instability of both lower and upper equilibria of free damped pendulum with periodically oscillating suspension point. We recall the results of Bogolyubov and Kapitza, provide new effective criteria of stability/instability of the equilibria of pendulum equation, and give the exact and complete proofs. The criteria obtained are formulated in terms of positivity/negativity of Green's functions of the periodic boundary value problems for linearized equations. Furthermore,...
On nonlinear stability of polytropic galaxies
On stability problem of a top
On the asymptotic behavior for a damped oscillator under a sublinear friction.
Mostramos la existencia de dos curvas de datos iniciales (x0, v0) para las cuales las soluciones x(t) correspondientes del problema de Cauchy asociado a la ecuación xtt + |xt|α-1 xt + x = 0, supuesto α ∈ (0,1), se anulan idénticamente después de un tiempo finito. Mediante métodos asintóticos y argumentos de comparación mostramos que para muchos otros datos iniciales las soluciones decaen a 0, en un tiempo infinito, como t-α / (1-α).
On the dynamics of a nonlinear multidimensional oscillator with memory.
On the evection resonance and its connection to the stability of outer satellites.
On the problem of stability for near to integrable Hamiltonian systems.