Differential Flatness Theory for Chaotic Dynamical Systems

2015 ◽  
pp. 579-611
Author(s):  
Gerasimos G. Rigatos
Keyword(s):  
Dynamical Systems ◽  
Differential Flatness ◽  
Differential Flatness Theory ◽  
Chaotic Dynamical Systems

scholarly journals Design and control of multiphase interleaved boost converters-based on differential flatness theory for PEM fuel cell multi-stack applications

2021 ◽  
Vol 124 ◽  
pp. 106346
Author(s):  
Phatiphat Thounthong ◽  
Pongsiri Mungporn ◽  
Damien Guilbert ◽  
Noureddine Takorabet ◽  
Serge Pierfederici ◽  
...  
Keyword(s):  
Fuel Cell ◽  
Pem Fuel Cell ◽  
Differential Flatness ◽  
Differential Flatness Theory ◽  
Boost Converters ◽  
And Control

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.

CHARACTERIZING LOSS OF MEMORY IN CHAOTIC DYNAMICAL SYSTEMS

1991 ◽  
Vol 05 (14) ◽  
pp. 2323-2345 ◽  
Author(s):  
R.E. AMRITKAR ◽  
P.M. GADE
Keyword(s):  
Dynamical Systems ◽  
Initial Conditions ◽  
Chaotic Dynamical Systems

We discuss different methods of characterizing the loss of memory of initial conditions in chaotic dynamical systems.

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