Journal of Nonlinear Science
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Special Solutions to a Nonlinear Coarsening Model with Local Interactions
Journal of Nonlinear Science - Tập 29 Số 4 - Trang 1343-1378 - 2019
Erratum to: Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations
Journal of Nonlinear Science - Tập 8 - Trang 233-233 - 1998
Unbounded One-Dimensional Global Attractor for the Damped Sine-Gordon Equation
Journal of Nonlinear Science - Tập 10 - Trang 417-432 - 2000
The dynamical behavior of the damped sine-Gordon equation with homogeneous Neumann boundary condition is studied. It is shown that the equation has an unbounded one-dimensional global attractor in a suitable functional space when the ``damping'' and the ``diffusing'' are not very small.
Comparisons between model equations for long waves
Journal of Nonlinear Science - Tập 1 - Trang 345-374 - 1991
Considered here are model equations for weakly nonlinear and dispersive long waves, which feature general forms of dispersion and pure power nonlinearity. Two variants of such equations are introduced, one of Korteweg-de Vries type and one of regularized long-wave type. It is proven that solutions of the pure initial-value problem for these two types of model equations are the same, to within the ...... hiện toàn bộ
Hydrodynamic Vortex on Surfaces
Journal of Nonlinear Science - Tập 27 - Trang 1609-1640 - 2017
The equations of motion for a system of point vortices on an oriented Riemannian surface of finite topological type are presented. The equations are obtained from a Green’s function on the surface. The uniqueness of the Green’s function is established under hydrodynamic conditions at the surface’s boundaries and ends. The hydrodynamic force on a point vortex is computed using a new weak formulatio...... hiện toàn bộ
Multipulse Orbits in the Motion of Flexible Spinning Discs
Journal of Nonlinear Science - Tập 12 - Trang 1-26 - 2002
The global dynamics of flexible spinning discs are studied. The discs studied are parametrically excited in their spin rate, and have imperfections that cause symmetry-breaking. After determining the equations of motion in a suitable form, the energy-phase method is employed to show the existence of chaotic dynamics by identifying multipulse jumping orbits in the perturbed phase space. We provide...... hiện toàn bộ
Asymptotic Formulas for Extreme Statistics of Escape Times in 1, 2 and 3-Dimensions
Journal of Nonlinear Science - Tập 29 - Trang 461-499 - 2018
The first of N identical independently distributed (i.i.d.) Brownian trajectories that arrives to a small target sets the time scale of activation, which in general is much faster than the arrival to the target of a single trajectory only. Analytical asymptotic expressions for the minimal time is notoriously difficult to compute in general geometries. We derive here asymptotic laws for the probabi...... hiện toàn bộ
Codimension-Two Bifurcation, Chaos and Control in a Discrete-Time Information Diffusion Model
Journal of Nonlinear Science - Tập 26 - Trang 1895-1931 - 2016
In this paper, we present a discrete model to illustrate how two pieces of information interact with online social networks and investigate the dynamics of discrete-time information diffusion model in three types: reverse type, intervention type and mutualistic type. It is found that the model has orbits with period 2, 4, 6, 8, 12, 16, 20, 30, quasiperiodic orbit, and undergoes heteroclinic bifurc...... hiện toàn bộ
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid
Journal of Nonlinear Science - - 2024
In this paper, we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid body in the limit when its mass and its size tend to zero. We show that the velocity of the center of mass of the rigid body coincides with the background fluid velocity in the limit. We are able to consider the limit whe...... hiện toàn bộ
A Variational Approach to Solitary Gravity–Capillary Interfacial Waves with Infinite Depth
Journal of Nonlinear Science - - 2019
Tổng số: 881
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