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Stabilization of the wave equation with Neumann boundary condition and localized nonlinear damping
(EUDOXUS PRESS, LLC, 2009)
We show that the solutions of the wave equation with potential, Neumann boundary conditions and a locally distributed nonlinear damping, decay to zero, with an algebraic rate, that is, the total energy E(t) satisfies for ...
VNS algorithm for the design of supplementary damping controllers for small-signal stability analysis
(Elsevier B.V., 2018-01-01)
This paper presents a variable neighborhood search (VNS) optimization algorithm for the design of the parameters of supplementary damping controllers: power system stabilizers (PSS) and the interline power flow controller-power ...
On the convergence of a Damped Secant method with modified right-hand side vector
We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case ...
Polynomial stability of a joint-leg-beam system with local damping
(Elsevier, 2007-11)
Recent advances in the design and construction of large inflatable/rigidizable space structures and potential new applications of such structures have produced a demand for better analysis and computational tools to deal ...
On the convergence of a damped Newton-like method with modified right hand side vector
We present a convergence analysis for a damped Newton like method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special ...
Damping and clustering into crowded environment of catalytic chemical oscillators
(2019-03-01)
A system formed by a crowded environment of catalytic obstacles and complex oscillatory chemical reactions is studied. The obstacles are static spheres of equal radius, which are placed in a random way. The chemical reactions ...
Localized structures and spatiotemporal chaos: comparison between the driven damped sine-Gordon and the Lugiato-Lefever model
(2017)
Driven damped coupled oscillators exhibit complex spatiotemporal dynamics. An archetype model is the driven damped sine-Gordon equation, which can describe several physical systems such as coupled pendula, extended Josephson ...
Localized structures and spatiotemporal chaos: comparison between the driven damped sine-gordon and the lugiato-lefever model
(Springer, 2017)
Driven damped coupled oscillators exhibit complex spatiotemporal dynamics. An archetype model is the driven damped sine-Gordon equation, which can describe several physical systems such as coupled pendula, extended Josephson ...
A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
In this paper we consider the strongly damped wave equation with time-dependent terms u(tt) - Delta u - gamma(t)Delta u(t) + beta(epsilon)(t)u(t) = f(u), in a bounded domain Omega subset of R(n), under some restrictions ...