The problem of finite-dimensional asymptotics of infinite-dimensional dynamic systems is studied. A non-linear kinetic system with conservation of supports for distributions has generically finite-dimensional asymptotics. Such systems are apparent in many areas of biology, physics (the theory of parametric wave interaction), chemistry and economics. This conservation of support has a biological...

We show that for innnite-dimensional discrete-time positive systems the complex and real stability radius coincide. Furthermore, we provide a simple formula for the complex stability radius of positive systems by the associated transfer function. We illustrate our results with an example dealing with a simple type of diierential-diierence equations. 1. Introductory remarks This work is motivate...

Burgers vortices are explicit stationary solutions of the Navier-Stokes equations which are often used to describe the vortex tubes observed in numerical simulations of threedimensional turbulence. In this model, the velocity field is a two-dimensional perturbation of a linear straining flow with axial symmetry. The only free parameter is the Reynolds number Re = Γ/ν, where Γ is the total circu...

Lyapunov stability of 2D finite-dimensional behaviours D. Napp Avelli a , P. Rapisarda b & P. Rocha c a Department of Ingenieria de Sistemas y Automatica , University of Valladolid , Valladolid, Spain b ISIS group , University of Southampton , Southampton, UK c Department of Electrical and Computer Engineering , Faculty of Engineering, University of Oporto , Portugal Published online: 09 Jun 2011.

A nonlinear stability theory is presented for three-dimensional transition in the wake of a circular cylinder up to Reynolds number 300. The primary input to the theory is the linear and the nonlinear stability results of Barkley and Hen-derson. Based on symmetric bifurcation theory, normal form equations are proposed to describe (to lowest order) the nonlin-ear interaction of three-dimensional...

The present essay scrutinizes the application of discrete mollification as a filtering procedure to solve a nonlinear backward inverse heat conduction problem in one dimensional space. These problems are seriously ill-posed. So, we combine discrete mollification and space marching method to address the ill-posedness of the proposed problem. Moreover, a proof of stability and<b...

My research interests are in developing rigorous numerical techniques to study problems in Dynamical Systems. More specifically, I am interested in the stability spectra (Lyapunov exponents & Sacker-Sell spectra) of finite and infinite dimensional dynamical systems, as well as the development of quantitative perturbation theory to obtain error bounds for the stability spectra. Perturbation anal...

‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to approximate the solution of two-dimensional‎ ‎linear fuzzy Fredholm integral equation (2DLFFIE)‎. ‎Also‎, ‎we prove‎ ‎convergence analysis and numerical stability analysis ...

Questions of noise stability play an important role in hardness of approximation in computer science as well as in the theory of voting. In many applications, the goal is to find an optimizer of noise stability among all possible partitions of R for n ≥ 1 to k parts with given Gaussian measures μ1, . . . , μk. We call a partition ǫ-optimal, if its noise stability is optimal up to an additive ǫ....

The paper is devoted to full stability of optimal solutions in general settings of finite-dimensional optimization with applications to particular models of constrained optimization problems including those of conic and specifically semidefinite programming. Developing a new technique of variational analysis and generalized differentiation, we derive second-order characterizations of full stabi...