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SUFFICIENT CONDITIONS FOR TWO-DIMENSIONAL POINT DISSIPATIVE NON-LINEAR SYSTEMS

摘要


A two-dimensional autonomous system x=AX + (x^TB^1x, x^TB^2x)^T of differential equations with quadratic non-linearity is point dissipative, if there exists a positive number y such that the symmetric matrices B and B^2 are of the form (The equation is abbreviated), (The equation is abbreviated) and (The equation is abbreviated).

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