On point dissipative N-dimensional systems of differential equations with quadratic nonlinearity
Known sufficient conditions for quadratic dynamical system x′=Ax+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 se...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117129300016X |
| Summary: | Known sufficient conditions for quadratic dynamical system x′=Ax+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. |
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| ISSN: | 0161-1712 1687-0425 |