On point dissipative N -dimensional systems of differential equations with quadratic nonlinearity

Anil K. Bose, Alan S. Cover and James A. Reneke

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-10

Abstract:

Known sufficient conditions for quadratic dynamical system x ′ = A x + f ( x ) to be point dissipative given in terms of A and f for dimensions 2 and 3 are extended to allow for more general forms for the nonlinear term f ( x ) . Furthermore, the conditions extend to n dimensions when f is quadratic with zero set an ( n − 1 ) -dimensional hyperplane.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:538905

DOI: 10.1155/S016117129300016X

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