A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption

2022 ◽  
Vol 154 ◽  
pp. 111693
Author(s):  
Xilin Liu ◽  
Xiaojun Tong ◽  
Zhu Wang ◽  
Miao Zhang
Keyword(s):  
Hamiltonian System ◽  
Image Encryption ◽  
Generalized Hamiltonian System

scholarly journals Direct modeling method of generalized Hamiltonian system and simulation simplified

2012 ◽  
Vol 31 ◽  
pp. 901-908
Author(s):  
Tianmao Xu ◽  
Yun Zeng ◽  
Lixiang Zhang ◽  
Jing Qian
Keyword(s):  
Hamiltonian System ◽  
Modeling Method ◽  
Direct Modeling ◽  
Generalized Hamiltonian System

General relativity as a generalized Hamiltonian system

1979 ◽  
Vol 10 (7) ◽  
pp. 567-579 ◽  
Author(s):  
Demetrios Christodoulou ◽  
Mauro Francaviglia ◽  
Wlodzimierz M. Tulczyjew
Keyword(s):  
General Relativity ◽  
Hamiltonian System ◽  
Generalized Hamiltonian System

COMPUTER SIMULATION OF THREE-DIMENSIONAL VORTEX DYNAMICS

1986 ◽  
Vol 01 (03) ◽  
pp. 221-230 ◽  
Author(s):  
M.E. AGISHTEIN ◽  
A.A. MIGDAL
Keyword(s):  
Computer Simulation ◽  
Velocity Field ◽  
Hamiltonian System ◽  
Vortex Dynamics ◽  
Discrete Model ◽  
Initial Conditions ◽  
Three Dimensional ◽  
Vortex Lines ◽  
Onset Of Turbulence ◽  
Generalized Hamiltonian System

The discrete model, approximating with exponential accuracy the set of interacting closed vortex lines in an ideal fluid, is proposed and investigated by means of the computer. The vortex lines move in their own velocity field according to the Biot-Savart law. This is a generalized Hamiltonian system possessing in addition an infinite number of conservation laws. Nevertheless, the motion becomes stochastic for certain initial conditions, and may be interpreted as marking the onset of turbulence.

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