Results 11 to 20 of about 2,306,692 (293)
Category of Discrete Dynamical System
A dynamical system is a method that can describe the process, behavior, and complexity of a system. In general, a dynamical system consists of a discrete dynamical system and a continuous dynamical system.
Ananda Ayu Permatasari +2 more
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On a discrete Davey-Stewartson system [PDF]
We propose a differential difference equation in ${\mathcal R}^1\times {\mathcal Z}^2$ and study it by Hirota's bilinear method. This equation has a singular continuum limit into a system which admits the reduction to the Davey-Stewartson equation ...
Ablowitz M J +12 more
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A crack-free AlGaN/GaN heterostructure was grown on 4-inch Si (111) substrate with initial dot-like AlSiC precoverage layer. It is believed that introducing the AlSiC layer between AlN wetting layer and Si substrate is more effective in obtaining a ...
Jae-Hoon Lee, Jung-Hee Lee
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Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system
In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is
Liu Xia, Zhou Tao, Shi Haiping
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Algebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations [PDF]
An algebraic structure related to discrete zero curvature equations is established. It is used to give an approach for generating master symmetries of first degree for systems of discrete evolution equations and an answer to why there exist such master ...
Benno Fuchssteiner +3 more
core +2 more sources
Block-Coppels chaos in set-valued discrete systems [PDF]
Let (X, d) be a compact metric space and f : X → X be a continuous map. Consider the metric space (K(X),H) of all non empty compact subsets of X endowed with the Hausdorff metric induced by d. Let ¯ f : K(X) → K(X) be defined by ¯ f(A) = {f(a) : a ∈ A} .
Mojtaba Jazaeri, Bahman Honary
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A Second Order Fully-discrete Linear Energy Stable Scheme for a Binary Compressible Viscous Fluid Model [PDF]
We present a linear, second order fully discrete numerical scheme on a staggered grid for a thermodynamically consistent hydrodynamic phase field model of binary compressible fluid flow mixtures derived from the generalized Onsager Principle.
Wang, Qi, Zhao, Xueping
core +3 more sources
A discrete Bochner-Martinelli formula [PDF]
In the even dimensional case the discrete Dirac equation may be reduced to the so-called discrete isotonic Dirac system in which suitable Dirac operators appear from both sides in half the dimension.
Bory-Reyes, Juan, Sommen, Franciscus
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Discretizations of axisymmetric systems [PDF]
In this paper we discuss stability properties of various discretizations for axisymmetric systems including the so called cartoon method which was proposed by Alcubierre, Brandt et.al. for the simulation of such systems on Cartesian grids. We show that within the context of the method of lines such discretizations tend to be unstable unless one takes ...
openaire +2 more sources
In this paper, we present iterative improvement algorithms for free-end and constrained discrete-time systems. These algorithms are based on the extension and localization principles.
O. V. Fesko, I. V. Rasina, Ni Mingkang
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