Results 21 to 30 of about 2,306,692 (293)

Discrete Dynamical Systems: A Brief Survey [PDF]

open access: yes, 2018
Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers.
Fernandes, S.   +4 more
core   +1 more source

On Controllability and Stabilization of Nonlinear Continuous-discrete Dynamic Systems

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
The paper considers the issues of control and stabilization of nonlinear dynamic systems described by a set of differential and difference equations, the latter of which contain a control vector.
S. V. Akmanova
doaj   +1 more source

MARKET CHAOS SUPPRESSION AND BUSINESS STABILIZATION

open access: yesСтратегические решения и риск-менеджмент, 2016
An aim of this work is to demonstrate the potential utilization of mathematical methods for the diagnosis of the crisis situations in the business and develop methods to eliminate them.
A. I. Zvyagintsev
doaj   +1 more source

Discrete integrable systems generated by Hermite-Pad\'e approximants

open access: yes, 2015
We consider Hermite-Pad\'e approximants in the framework of discrete integrable systems defined on the lattice $\mathbb{Z}^2$. We show that the concept of multiple orthogonality is intimately related to the Lax representations for the entries of the ...
Aptekarev, Alexander I.   +2 more
core   +1 more source

A Wigner distribution function for finite oscillator systems [PDF]

open access: yes, 2013
We define a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum. The distribution function is thus defined on discrete phase-space, i.e.
Van der Jeugt, Joris
core   +2 more sources

On a discretization of confocal quadrics. II. A geometric approach to general parametrizations

open access: yes, 2017
We propose a discretization of classical confocal coordinates. It is based on a novel characterization thereof as factorizable orthogonal coordinate systems. Our geometric discretization leads to factorizable discrete nets with a novel discrete analog of
Bobenko, Alexander I.   +3 more
core   +1 more source

On Some Sufficiency-Type Stability and Linear State-Feedback Stabilization Conditions for a Class of Multirate Discrete-Time Systems

open access: yesMathematics, 2018
This paper presents and discusses the stability of a discrete multirate sampling system whose sets of sampling rates (or sampling periods) are the integer multiple of those operating on all the preceding substates.
M. De la Sen
doaj   +1 more source

On finite time delay dependent stability of linear discrete delay systems: Numerical solution approach [PDF]

open access: yesScientific Technical Review, 2015
In this paper, a possible solution of the basic nonlinear quadratic matrix equation was proposed. The solution is crucial in the formulation of the particular criteria for the delay-dependent finite time stability of discrete time delay systems ...
Debeljković Dragutin   +4 more
doaj  

Different dimensional fractional-order discrete chaotic systems based on the Caputo h-difference discrete operator: dynamics, control, and synchronization

open access: yesAdvances in Difference Equations, 2020
The paper investigates control and synchronization of fractional-order maps described by the Caputo h-difference operator. At first, two new fractional maps are introduced, i.e., the Two-Dimensional Fractional-order Lorenz Discrete System (2D-FoLDS) and ...
Ibtissem Talbi   +6 more
doaj   +1 more source

The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system

open access: yesBoundary Value Problems, 2023
In this paper, we investigate the nonlinear coupled discrete Schrödinger equations with unbounded potentials. We find simple sufficient conditions for the existence of discrete soliton solution by using the Nehari manifold approach and the compact ...
Meihua Huang, Zhan Zhou
doaj   +1 more source

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