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Start Over Coverage 239-248

1. Asymptotic properties of one differential equation with unbounded delay

Creator:
Svoboda, Zdeněk
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
asymptotic expansion and retract method
Language:
English
Description:
We study the asymptotic behavior of the solutions of a differential equation with unbounded delay. The results presented are based on the first Lyapunov method, which is often used to construct solutions of ordinary differential equations in the form of power series. This technique cannot be applied to delayed equations and hence we express the solution as an asymptotic expansion. The existence of a solution is proved by the retract method.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Experimental research of chaos in drive systems

Creator:
Kratochvíl, Ctirad, Heriban, Pavel, Houfek, Martin, Houfek, Lubomír, and Švéda, Petr
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
chaos, dynamical system, drive systems, and nonlinear systems
Language:
English
Description:
Chaos can be defined on bounded-state behaviour that is not equilibrium solution or a periodic solution or a quasiperiodic solution. The article is focused on analysis of dynamic properties of controlled drive systems and also on bifurcation of steady states and possible occurrence of chaotic behaviour. The purpose of this article is to provide an elementary introduction to the subject of chaos in the electromechanical drive systems. In this article, we explore chaotic solutions of maps and continuous time systems. The attractor associated with chaotic motion in state space is not a simple geometrical object like a finite number of points, a closed curve or a torus. Chaotic attractor is complex geometrical object that posses fractal dimensions. and Obsahuje seznam literatury
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public