Hamiltonian vector field for the Lorenz invariant set
نویسندگان
چکیده
The existence of a Hamiltonian vector field in which trajectories of the invariant set of a dissipative hyperbolic chaotic system are embedded will be proved (see notation below). Evidence of this with an example concerning the Lorenz system will be provided. Also, a constructive method of designing a Hamiltonian for the Lorenz attractor with a universal approximator will be introduced. The present approach enables the use of the universal approximator property of neural networks for modeling dynamics from the Hamiltonian perspective.
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