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We consider slow-fast systems with periodic fast motion and integrable slow motion in the presence of both weak and
strong resonances. Assuming that the initial phases are random
and that appropriat...
Normally Hyperbolic Invariant Laminations and diffusive behaviour for the generalized Arnold example away from resonances
Hyperbolic Invariant Laminations generalized Arnold away from resonances
2015/9/25
In this paper we study existence of Normally Hyperbolic Invariant Laminations (NHIL) for a nearly integrable system given by the product of the pendulum and the rotator perturbed with a small coupling...
Absence of Resonances near Critical Line for CC Manifolds
Absence of Resonances Critical Line CC Manifolds
2011/8/22
Abstract: We find a resonance free region polynomially close to the critical line on Conformally compact manifolds with polyhomogeneous metric.
A chaotic system under periodic forcing can develop a periodically
visited strange attractor. We discuss simple models in which the phenomenon,
quite easy to see in numerical simulations, can be com...
On resonances and bound states of the 't Hooft-Polyakov monopole
resonances bound states 't Hooft-Polyakov monopole
2011/3/3
We present a systematic approach to the linearised Yang-Mills-Higgs equations in the background of a 't Hooft-Polyakov monopole and use it to unify and extend previous studies of their spectral proper...
Schrodinger operators and the distribution of resonances in sectors
Schrodinger operators distribution of resonances
2011/2/22
The purpose of this paper is to give some refined results about the distribution of resonances in potential scattering. We use techniques and results from one and several complex variables, including ...
Numerical Continuation of resonances and bound states in coupled channel Schrödinger equations
Resonances Numerical Continuation Coupled Channels Schr¨odinger equation
2011/1/17
In this contribution, we introduce numerical continuation methods and bifurcation theory, techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter de...
Resonances and Twist in Volume-Preserving Mappings
Volume-Preserving Mappings invariant tori
2010/4/2
The phase space of an integrable volume-preserving map with one action is foliated by a one-parameter family of invariant tori. Perturbations lead to chaotic dynamics with interesting transport proper...
Analysis of lunisolar resonances in an artificial satellite orbits
Analysis lunisolar resonances artificial satellite orbits
2010/9/10
The present work deals with constructing a conditionally periodic solution for the motion of an Earth artificial satellite taking into account the oblateness of the Earth and the Luni-Solar attraction...