In the example of the Rössler model problem, a method for the practical analysis of the stability of nonlinear systems is considered. It is shown that besides the stability-instability conditions, the proposed criterion makes it possible in the analysis of the eigenvalue spectrum of the evolution matrix to determine the possibility of chaotic behavior of systems upon loss of stability.
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E. N. Perevoznikov, Russ. Phys. J., 49, No. 10, 1076–1083 (2006).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 36–38, February, 2013.
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Perevoznikov, E.N. Stability criterion for nonlinear systems. Russ Phys J 56, 151–154 (2013). https://doi.org/10.1007/s11182-013-0010-z
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DOI: https://doi.org/10.1007/s11182-013-0010-z