Display Abstract

Title Production and Transfer of Energy and Information in Hamiltonian Systems

Name Chris Antonopoulos
Country England
Email chris.antonopoulos@abdn.ac.uk
Co-Author(s) Chris G. Antonopoulos, Ezequiel Bianco Martinez and Murilo Da Silva Baptista
Submit Time 2014-03-28 13:29:22
Special Session 111: Computational dynamics in Hamiltonian and dissipative systems
In this talk I will discuss about some novel, recently published results [Antonopoulos et.al, 2014] that relate energy and information transfer with sensitivity to initial conditions in chaotic multi-dimensional Hamiltonian systems. I will show the relation among Kolmogorov-Sinai entropy, Lyapunov exponents, and upper bounds for the Mutual Information Rate calculated in the Hamiltonian phase space and on bi-dimensional subspaces. The main result is that the net amount of transfer from kinetic to potential energy per unit of time is a power-law of the upper bound for the Mutual Information Rate between kinetic and potential energies, and also a power-law of the Kolmogorov-Sinai entropy. Therefore, transfer of energy is related with both transfer and production of information. Finally, I will demonstrate the setup of an ``experimental'' implementation of a 1-dimensional communication channel based on a Hamiltonian system, and talk about the actual rate with which information is exchanged between the first and last particle of the channel.