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- W3136160113 abstract "In stability analysis of nonlinear systems, the character of the eigenvalues of the Jacobian matrix (i.e., whether the real part is positive, negative, or zero) is needed, while the actual value of the eigenvalue is not required. We present a simple algebraic procedure, based on the Routh-Hurwitz criterion, for determining the character of the eigenvalues without the need for evaluating the eigenvalues explicitly. This procedure is illustrated for a system of nonlinear ordinary differential equations we have studied previously. This procedure is simple enough to be used in computer code, and, more importantly, makes the analysis possible even for those cases where the secular equation cannot be solved." @default.
- W3136160113 created "2021-03-29" @default.
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- W3136160113 date "1987-06-15" @default.
- W3136160113 modified "2023-09-23" @default.
- W3136160113 title "Routh-Hurwitz Criterion in the Examination of Eigenvalues of a System of Nonlinear Ordinary Differential Equations" @default.
- W3136160113 hasPublicationYear "1987" @default.
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