DocumentCode
1817886
Title
Hamiltonian vector field for the Lorenz invariant set
Author
Lozowski, Andrzej ; Komendarczyk, Rafal ; Zurada, Jacek M.
Author_Institution
Dept. of Electr. Eng., Louisville Univ., KY, USA
Volume
1
fYear
1999
fDate
1999
Firstpage
404
Abstract
The existence of a Hamiltonian vector field in which trajectories of the invariant set Λ of a dissipative hyperbolic chaotic system are embedded, is proved. This evidence with an example concerning the Lorenz system is provided. Also, a constructive method of designing a Hamiltonian for the Lorenz attractor with a universal approximator is introduced. The present approach enables the use of universal approximator property of neural networks for modeling dynamics from the Hamiltonian perspective
Keywords
function approximation; identification; neural nets; nonlinear dynamical systems; set theory; Hamiltonian vector field; Lorenz attractor; Lorenz invariant set; Lorenz system; hyperbolic chaotic system; identification; invariant set; neural networks; nonlinear dynamical systems; universal approximation; Chaotic communication; Design methodology; Differential equations; Lagrangian functions; Level set; Neural networks; Orbits; Oscillators; Physics; Zinc;
fLanguage
English
Publisher
ieee
Conference_Titel
Neural Networks, 1999. IJCNN '99. International Joint Conference on
Conference_Location
Washington, DC
ISSN
1098-7576
Print_ISBN
0-7803-5529-6
Type
conf
DOI
10.1109/IJCNN.1999.831528
Filename
831528
Link To Document