An index reduction method in holonomic system dynamics

2003 ◽  
pp. 126-130 ◽  
Author(s):  
Marco Borri ◽  
Trainelli Lorenzo ◽  
Croce Alessandro
Keyword(s):  
System Dynamics ◽  
Reduction Method ◽  
Holonomic System ◽  
Index Reduction

A Secure Communications System Using Chaotic Switching

1997 ◽  
Vol 07 (06) ◽  
pp. 1383-1394 ◽  
Author(s):  
Chungyong Lee ◽  
Douglas B. Williams ◽  
Jaejin Lee
Keyword(s):  
System Dynamics ◽  
Chaotic Systems ◽  
Reduction Method ◽  
Initial Conditions ◽  
Power Level ◽  
The Self ◽  
Secure Communications ◽  
Dynamical Error ◽  
Communications System ◽  
Very High

Since previous secure communications methods using chaotic systems require very high SNRs, knowledge of the initial conditions, and/or chaotic systems with the self-synchronization property, their application is limited. In this paper, a new secure communications scheme based on chaotic switching is discussed. The proposed scheme makes decisions on the incoming bits by comparing the power level of the dynamical error for each symbol signal after applying a noise reduction method based on the known system dynamics. A multi-user secure communications scheme is also considered where each user's symbol signal is mapped through a unique scramble matrix. We also examine whether these scramble matrices help to combat against smart jamming. The proposed system does not require self-synchronization between the chaotic receiver and transmitter and exhibits reasonable performance at relatively low SNRs.

scholarly journals A Structure Preserving Index Reduction Method For MNA

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 727-728 ◽  
Author(s):  
S. Bächle ◽  
F. Ebert
Keyword(s):  
Reduction Method ◽  
Structure Preserving ◽  
Index Reduction

scholarly journals A geometric index reduction method for implicit systems of differential algebraic equations

2011 ◽  
Vol 46 (10) ◽  
pp. 1114-1138 ◽  
Author(s):  
L. D’Alfonso ◽  
G. Jeronimo ◽  
F. Ollivier ◽  
A. Sedoglavic ◽  
P. Solernó
Keyword(s):  
Reduction Method ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Index Reduction ◽  
Implicit Systems
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