A New Approach to the Theory of Canonical Decomposition of Linear Dynamical Systems

1973 ◽  
Vol 11 (1) ◽  
pp. 148-158 ◽  
Author(s):  
P. D’Alessandro ◽  
A. Isidori ◽  
A. Ruberti
Keyword(s):  
Dynamical Systems ◽  
Canonical Decomposition ◽  
Linear Dynamical Systems ◽  
New Approach

Pseudorandom Number Generators Based on Chaotic Dynamical Systems

2001 ◽  
Vol 08 (02) ◽  
pp. 137-146 ◽  
Author(s):  
Janusz Szczepański ◽  
Zbigniew Kotulski
Keyword(s):  
Dynamical Systems ◽  
Communication Systems ◽  
Initial Conditions ◽  
Pseudorandom Number ◽  
New Approach ◽  
Chaotic Dynamical Systems ◽  
Pseudorandom Number Generators ◽  
Transmission Of Information ◽  
Extreme Sensitivity ◽  
Contemporary Technology

Pseudorandom number generators are used in many areas of contemporary technology such as modern communication systems and engineering applications. In recent years a new approach to secure transmission of information based on the application of the theory of chaotic dynamical systems has been developed. In this paper we present a method of generating pseudorandom numbers applying discrete chaotic dynamical systems. The idea of construction of chaotic pseudorandom number generators (CPRNG) intrinsically exploits the property of extreme sensitivity of trajectories to small changes of initial conditions, since the generated bits are associated with trajectories in an appropriate way. To ensure good statistical properties of the CPRBG (which determine its quality) we assume that the dynamical systems used are also ergodic or preferably mixing. Finally, since chaotic systems often appear in realistic physical situations, we suggest a physical model of CPRNG.

A generalized orthonormal basis for linear dynamical systems

1995 ◽  
Vol 40 (3) ◽  
pp. 451-465 ◽  
Author(s):  
P.S.C. Heuberger ◽  
P.M.J. Van den Hof ◽  
O.H. Bosgra
Keyword(s):  
Dynamical Systems ◽  
Orthonormal Basis ◽  
Linear Dynamical Systems
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