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where X ̃ k, Ỹ k are homogeneous polynomials in x1, x2 of degree k, and their coefficients are polynomial functions of coefficients of the system (2).

Our main results do not require common factors of the coefficients of the system, relax the conditions imposed on the diffusion coefficient matrix, and generalize some early results.

The clustering coefficient of the whole network < CC > is defined as the average of all individual clustering coefficients in the system.

The coefficients of the system (3.1) are locally Lipschitz continuous.

The coefficients of the system (7) are presented in Appendix.

Table 3 shows the coefficients for the system's transmission power loss.

Especially, the coefficients of the system studied in this paper can be unbounded.

Biasing locally each particle's random walk, we alter the diffusion coefficients of the system.

The designed regulator has to place all coefficients of the system characteristic polynomial within assigned intervals.

We use a form of the LASSO technique [27] similar to [39] to select the significant coefficients of the system.

Finally a system of ordinary differential equations with time varying coefficients governing the system dynamics is developed.

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