Related Experiment Video
Updated: Mar 10, 2026

Sealable Femtoliter Chamber Arrays for Cell-free Biology
Published on: March 11, 2015
Generalized synchrony of coupled stochastic processes with multiplicative noise
Haider Hasan Jafri1, R K Brojen Singh2, Ramakrishna Ramaswamy2,3
1Department of Physics, Aligarh Muslim University, Aligarh 202 002, India.
Abstract:
We study the effect of multiplicative noise in dynamical flows arising from the coupling of stochastic processes with intrinsic noise. Situations wherein such systems arise naturally are in chemical or biological oscillators that are coupled to each other in a drive-response configuration. Above a coupling threshold we find that there is a strong correlation between the drive and the response: This is a stochastic analog of the phenomenon of generalised synchronization. Since the dynamical fluctuations are large when there is intrinsic noise, it is necessary to employ measures that are sensitive to correlations between the variables of drive and the response, the permutation entropy, or the mutual information in order to detect the transition to generalized synchrony in such systems.
Related Concept Videos
Propagation of Uncertainty from Random Error
Propagation of Uncertainty from Systematic Error
Entropy Changes Accompanying Specific Processes
Poisson's And Laplace's Equation
Linear time-invariant Systems
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.

