Results 21 to 30 of about 796,265 (291)

Global stability of positive standard and fractional nonlinear feedback systems [PDF]

Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020
The global stability of positive continuous-time standard and fractional order nonlinear feedback systems is investigated. New sufficient conditions for the global stability of these classes of positive nonlinear systems are established.
T. Kaczorek
doaj   +1 more source

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
doaj   +1 more source

Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and ${\cal PT}$ symmetry

, 2016
We consider nonlinear modes of the nonlinear Schr\"odinger equation with a nonlocal nonlinearity and an additional PT-symmetric parabolic potential.
Konotop, Vladimir V., Zezyulin, Dmitry A.   +1 more
core   +2 more sources

Nonlinear Hydrodynamic Stability

Physical Review Letters, 1998
3 pages, 1 eps ...
openaire   +2 more sources

Stability of Compacton Solutions of Fifth-Order Nonlinear Dispersive Equations

, 2000
We consider fifth-order nonlinear dispersive $K(m,n,p)$ type equations to study the effect of nonlinear dispersion. Using simple scaling arguments we show, how, instead of the conventional solitary waves like solitons, the interaction of the nonlinear ...
Avinash Khare, Bishwajyoti Dey, Cooper F, Dey B   +3 more
core   +1 more source

Mathematical model analysis of nonlinear control systems of power turbines operating in condensation mode

Physical Sciences and Technology, 2021
The work is dedicated to modeling&turbine control systems and studying the stability of a nonlinear system. The dynamics of the turbine regulation system is described by a nonlinear&system of four differential equations.
Zh. T. Bitaeva, Z. N. Murzabekov
doaj   +3 more sources

Nonlinear stability of shear deformable eccentrically stiffened functionally graded plates on elastic foundations with temperature-dependent properties

Science and Engineering of Composite Materials, 2017
This article investigates the nonlinear stability of eccentrically stiffened moderately thick plates made of functionally graded materials (FGM) subjected to in-plane compressive, thermo-mechanical loads.
Cong Pham Hong, Ngoc An Pham Thi, Duc Nguyen Dinh   +2 more
doaj   +1 more source

Nonlinear guided waves and spatial solitons in a periodic layered medium

, 2001
We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers.
Aceves, Andrey A. Sukhorukov, Barra, Bronski, Bronski, Chen, Cho, Christodoulides, Christodoulides, Darmanyan, de Sterke, Eisenberg, Eisenberg, Grebel, Kapitula, Kevrekidis, Kivshar, Kivshar, Kivshar, Kivshar, Kivshar, Kivshar, Krolikowski, Lan, Lidorikis, Lidorikis, Mingaleev, Morandotti, Morandotti, Nabiev, Peschel, Sukhorukov, Tocci, Trombettoni, Wachter, Wu, Yeh, Yuri S. Kivshar   +37 more
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Nonlinear stability of viscous roll waves [PDF]

, 2010
Extending results of Oh--Zumbrun and Johnson--Zumbrun for parabolic conservation laws, we show that spectral stability implies nonlinear stability for spatially periodic viscous roll wave solutions of the one-dimensional St.
Johnson, Mathew, Noble, Pascal, Zumbrun, Kevin   +2 more
core   +2 more sources

Nonlinear stability of rotating patterns [PDF]

Dynamics of Partial Differential Equations, 2008
We consider 2D localized rotating patterns which solve a parabolic system of PDEs on the spatial domain R2. Under suitable assumptions, we prove nonlinear stability with asymptotic phase with respect to the norm in the Sobolev space H2. The stability result is obtained by a combination of energy and resolvent estimates, after the dynamics is decomposed
Beyn, Wolf-Jürgen, Lorenz, Jens
openaire   +2 more sources