Is My System of Odes Cooperative?
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چکیده
An n-dimensional system of ODEs x′ = f(x) is said to be a cooperative system in canonical form if either it’s Jacobian matrix has nonnegative off-diagonal entries or there is an integer k with 1 ≤ k < n and the sign structure of the Jacobian, throughout its domain, has k×k and (n−k)× (n−k) main diagonal matrices with nonnegative off-diagonal entries and that the rectangular off-diagonal sub-matrices have nonpositive entries.
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تاریخ انتشار 2012