title: Information transfer between dynamical system components.
abstract: We present a rigorous formalism of information transfer for systems with dynamics fully known. This follows from an accurate classification of the mechanisms for the entropy change of one component into a self-evolution plus a transfer from the other component. The formalism applies to both continuous flows and discrete maps. The resulting transfer measure possesses a property of asymmetry and is qualitatively consistent with the classical measures. It is further validated with the baker transformation and the Hénon map.
authors.affiliation: Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA. sanliang@cims.nyu.edu
authors.forename: X San
authors.initials: XS
authors.lastname: Liang
authors.forename: Richard
authors.initials: R
authors.lastname: Kleeman