Add to ORKG202 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.The importance of resonances and the effect of near-resonant motion of trajectories on the averaged dynamics of stochastically perturbed two-degrees of freedom integrable systems is emphasized throughout the study. The extension of the method of stochastic averaging on graphs to 1:1-resonant Hamiltonian systems forms the other major aspect of this work.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD
Stochastic resonance is a phenomenon arising in a wide spectrum of areas in the sciences ranging fro...
The extension of the adiabatic invariant theory to separatrix crossing has led to a good understandi...
We consider a dynamical system describing the diffusive motion of a particle in a double well potent...
202 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.The importance of resonances ...
179 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.In the second part, we invest...
179 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.In the second part, we invest...
In this paper, a method is developed to detect the appearance of stochasticity in a kind of near-int...
The effect of random perturbations on the near-resonant motion of a two-degrees of freedom integrabl...
A stochastic averaging method for quasi-integrable and resonant Hamiltonian systems subject to combi...
Abstract: Hamiltonian system with two degrees of freedom is considered, in which fast and ...
We consider autonomous stochastic perturbations Ẋε(t) = ∇H(Xε(t)) + εb(Xε(t)) of Hamiltonian syste...
We consider a dynamical system describing the diusive motion of a particle in a double well potentia...
AbstractIn this note we present a unified approach, based on pde methods, for the study of averaging...
Abstract. It is shown that a dynamical system subject to both periodic forcing and random perturbati...
Integrable non-linear Hamiltonian systems perturbed by additive noise develop a Lyapunov insta-bilit...
Stochastic resonance is a phenomenon arising in a wide spectrum of areas in the sciences ranging fro...
The extension of the adiabatic invariant theory to separatrix crossing has led to a good understandi...
We consider a dynamical system describing the diffusive motion of a particle in a double well potent...
202 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.The importance of resonances ...
179 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.In the second part, we invest...
179 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.In the second part, we invest...
In this paper, a method is developed to detect the appearance of stochasticity in a kind of near-int...
The effect of random perturbations on the near-resonant motion of a two-degrees of freedom integrabl...
A stochastic averaging method for quasi-integrable and resonant Hamiltonian systems subject to combi...
Abstract: Hamiltonian system with two degrees of freedom is considered, in which fast and ...
We consider autonomous stochastic perturbations Ẋε(t) = ∇H(Xε(t)) + εb(Xε(t)) of Hamiltonian syste...
We consider a dynamical system describing the diusive motion of a particle in a double well potentia...
AbstractIn this note we present a unified approach, based on pde methods, for the study of averaging...
Abstract. It is shown that a dynamical system subject to both periodic forcing and random perturbati...
Integrable non-linear Hamiltonian systems perturbed by additive noise develop a Lyapunov insta-bilit...
Stochastic resonance is a phenomenon arising in a wide spectrum of areas in the sciences ranging fro...
The extension of the adiabatic invariant theory to separatrix crossing has led to a good understandi...
We consider a dynamical system describing the diffusive motion of a particle in a double well potent...