Results 11 to 20 of about 98 (70)
Control of bifurcation structures using shape optimization [PDF]
, 2021 Many problems in engineering can be understood as controlling the bifurcation structure of a given device. For example, one may wish to delay the onset of instability or bring forward a bifurcation to enable rapid switching between states.
Boullé, Nicolas +2 more
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PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION
Forum of Mathematics, Sigma, 2014 Plane wave solutions to the cubic nonlinear Schrödinger equation on a torus have recently been shown to behave orbitally stable. Under generic perturbations of the initial data that are small in a high-order Sobolev norm, plane waves are stable over long
ERWAN FAOU +2 more
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Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation [PDF]
, 2017 A contraction metric for an autonomous ordinary differential equation is a Riemannian metric such that the distance between adjacent solutions contracts over time.
A. Iske +23 more
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Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group
Open Physics, 2016 The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel +2 more
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Stability Problems and Analytical Integration for the Clebsch’s System
Open Mathematics, 2019 The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
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Numerical study of a thin liquid film flowing down an inclined wavy plane [PDF]
, 2011 International audienceWe investigate the stability of a thin liquid film flowing down an inclined wavy plane using a direct numerical solver based on a finite element/arbitrary Lagrangian Eulerian approximation of the free-surface Navier--Stokes ...
Ern, Alexandre +2 more
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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
Open Mathematics, 2018 The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
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An invariance kernel representation of ISDS Lyapunov functions [PDF]
, 2005 We apply set valued analysis techniques in order to characterize the input-to-state dynamical stability (ISDS) property, a variant of the well known input-to-state stability (ISS) property. Using a suitable augmented differential inclusion we are able to
Grüne, Lars, Saint-Pierre, Patrick
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Dynamics of chains grafted on solid wall during polymer melt extrusion [PDF]
, 2003 The objective of the present work is the mathematical modeling of the dynamics of polymer molecules grafted on a solid boundary during polymer melt extrusion.
Molenaar, J. +2 more
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, 2018 Efficient and energy stable high order time marching schemes are very important but not easy to construct for the study of nonlinear phase dynamics. In this paper, we propose and study two linearly stabilized second order semi-implicit schemes for the ...
Wang, Lin, Yu, Haijun
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