Detecting Coupling in the Presence of Noise and Nonlinearity
Theoden Ivan Netoff, Thomas L. Carroll, Louis M. Pecora, Steven J. Schiff · 2006
This chapter contains sections titled: Introduction Methods of Detecting Coupling Cross-Correlation Mutual Information Mutual Information in Two Dimensions Phase Correlation Continuity Measure Linear and Nonlinear Systems Gaussian Distributed White Noise Autoregressive Model Hénon Map Rössler Attractor Circuit Data Uncoupled Systems Correlation Between Gaussian Distributed Random Data Sets Correlation Between Uncoupled AR Models Correlation Between Uncoupled Hénon Maps Correlation Between Uncoupled Rössler Attractors Uncoupled Electrical Systems Weakly Coupled Systems Coupled AR Models Coupled Hénon Maps Weakly Coupled Rössler Attractors Experimental Electrical Nonlinear Coupled Circuit Conclusions Discussion References