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Stability of the non-hyperbolic zero equilibrium of two close-to-symmetric systems of difference equations with exponential terms - MaRDI portal

Stability of the non-hyperbolic zero equilibrium of two close-to-symmetric systems of difference equations with exponential terms (Q2333598)

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Stability of the non-hyperbolic zero equilibrium of two close-to-symmetric systems of difference equations with exponential terms
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    Stability of the non-hyperbolic zero equilibrium of two close-to-symmetric systems of difference equations with exponential terms (English)
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    13 November 2019
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    Summary: In this paper, we study the stability of the zero equilibria of two close-to-symmetric systems of difference equations with exponential terms in the special case in which one of their eigenvalues is equal to \(-1\) and the other eigenvalue has an absolute value of less than 1. In the present study, we use the approach of center manifold theory.
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    difference equations
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    stability
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    center manifold
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