On a stationarity principle for discrete non-linear dissipative dynamic systems

1982 ◽  
Vol 17 (1) ◽  
pp. 35-40
Author(s):  
C. Rajski
Keyword(s):  
Dynamic Systems ◽  
Non Linear ◽  
Dissipative Dynamic

Extension of Parity Space to Non Linear Polynomial Dynamic Systems

1997 ◽  
Vol 30 (18) ◽  
pp. 857-862 ◽  
Author(s):  
C. Guernez ◽  
J.Ph. Cassar ◽  
M. Staroswiecki
Keyword(s):  
Dynamic Systems ◽  
Linear Polynomial ◽  
Non Linear ◽  
Parity Space

Dynamic Analysis and FPGA Implementation of a Kolmogorov-Like Hyperchaotic System

2021 ◽  
Vol 31 (04) ◽  
pp. 2150052
Author(s):  
Xiaodong Jiao ◽  
Enzeng Dong ◽  
Zenghui Wang
Keyword(s):  
Vector Field ◽  
Numerical Analysis ◽  
Dynamic Analysis ◽  
Dynamic Systems ◽  
Spherical Function ◽  
Chaotic Systems ◽  
Complex Dynamics ◽  
Hyperchaotic System ◽  
Nist Tests ◽  
Dissipative Dynamic

Chaotic systems have high potential for engineering applications due to their extremely complex dynamics. In the paper, a five-dimensional (5D) Kolmogorov-like hyperchaotic system is proposed. First, the hyperchaotic property is uncovered, and numerical analysis shows that the system displays the coexistence of different kinds of attractors. This system presents a generalized form of fluid and forced-dissipative dynamic systems. The vector field of the hyperchaotic system is decomposed to inertial, internal, dissipative and external torques, respectively, and the energies are analyzed in detail. Then, the bound of the 5D dissipative hyperchaos is estimated with a constructed spherical function. Finally, the system passes the NIST tests and an FPGA platform is used to realize the hyperchaotic system.

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