Stochastic Stability Analysis for Stochastic Coupled Oscillator Networks with Bidirectional Cross-Dispersal

Table 1

Notations used in this paper.

Notation	Description
	The set of real numbers
	The set of -dimensional Euclidean space
	The transpose of vector
	A complete probability space
	A filtration satisfying the usual conditions
	A probability measure
	The expectation of
	A one-dimensional Brownian motion defined on the complete probability space
	The Euclidean norm of vector
	A collection of
	A collection of which is on strictly increasing and unbounded, and
	The family of all nonnegative functions which is on and is continuously twice differentiable in and once in is represented by
	An indicator function, where is a collection; if ; otherwise,