Paper Info
Title
Synthesis of chaotic systems.
Abstract
Scenario for the chaos synthesis was developed and tested. Namely, choose: (i) A SISO (single-input single-output) dissipative (i.e. sum of its poles is negative) linear system of the third or higher order having hyperbolic (i.e. with nonzero real parts only), semistable (i.e. both positive and negative real parts are always present) poles. (ii) Nonlinear static output feedback being odd and strictly monotonous function. The corresponding closed-loop system should have two additional nontrivial equilibria such that the appropriate approximate linearizations has again poles with properties of (i). (iii) Zeros of the linear systems that are attracting and parameterized by the feedback gain according to the Root Locus Method. It will be demonstrated that the nonlinear system synthetized according (i)-(iii) exibits chaotic behaviour (i.e. bounded nonstationary motion with sensitive dependence on initial data) for a wide range of its parameters.
Year
Venue
Field
1994
KYBERNETIKA
Control theory,Chaotic systems,Mathematics,Synchronization of chaos
DocType
Volume
Issue
Journal
30
5
ISSN
Citations 
PageRank 
0023-5954
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Antonín Vanecek102.03
Sergej Celikovský235997.30