Nonlinear Perturbations
نویسندگان
چکیده
منابع مشابه
Noise Perturbations of Nonlinear Dynamical
We investigate analytical methods to predict the long-time cumulative eects of noise perturbations on nonlinear dynamical systems. The study of such perturbations addresses the problem of the global stability of nonlinear systems with multiple coexisting attractors. Indeed small random perturbations can cause large excursions of the system from a nominal steady state, and hence induce transitio...
متن کاملNonlinear perturbations of the Kaluza-Klein monopole.
We consider the nonlinear stability of the Kaluza-Klein monopole viewed as the static solution of the five-dimensional vacuum Einstein equations. Using both numerical and analytical methods, we give evidence that the Kaluza-Klein monopole is asymptotically stable within the cohomogeneity-two biaxial Bianchi type-IX ansatz recently introduced by Bizoń, Chmaj, and Schmidt. We also show that for s...
متن کاملNonlinear N-parameter spacetime perturbations: Gauge transformations
Carlos F. Sopuerta, 2 Marco Bruni, and Leonardo Gualtieri Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 2EG, Britain Institute for Gravitational Physics and Geometry and Center for Gravitational Wave Physics, Penn State University, University Park, Pennsylvania 16802, USA Dipartimento di Fisica “G. Marconi”, Università di Roma “La Sapienza” and Sezione INFN RO...
متن کاملNonlinear Perturbations of the Kirchhoff Equation
In this article we study the existence and uniqueness of local solutions for the initial-boundary value problem for the Kirchhoff equation u′′ −M(t, ‖u(t)‖)∆u+ |u| = f in Ω× (0, T0), u = 0 on Γ0×]0, T0[, ∂u ∂ν + δh(u′) = 0 on Γ1×]0, T0[, where Ω is a bounded domain of Rn with its boundary constiting of two disjoint parts Γ0 and Γ1; ρ > 1 is a real number; ν(x) is the exterior unit normal vector...
متن کاملNonlinear Schrödinger equation with spatiotemporal perturbations.
We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation (NLSE) with the following perturbations: nonparametric spatiotemporal driving of the form f(x,t)=a exp[iK(t)x], damping, and a linear term which serves to stabilize the driven soliton. Using the time evolution of norm, momentum and energy, or, alternatively, a Lagrangian approach, we develop a collective-coordin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1969
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1664946