Information-theoretic formulation of dynamical systems: Causality, modeling, and control

The problems of causality, modeling, and control for chaotic, high-dimensional dynamical systems are formulated in the language information theory. central quantity interest is Shannon entropy, which measures amount states system. Within this framework, causality quantified by flux among variables Reduced-order modeling posed as a problem related to conservation models aim at preserving maximum relevant from original Similarly, theory cast information-theoretic terms envisioning tandem sensor-actuator device reducing unknown state be controlled. new formulation used address three about turbulence, stands primary example applications include energy transfer turbulent cascade, subgrid-scale large-eddy simulation, flow drag reduction wall-bounded turbulence.