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Divergence of solutions of polynomial finite-difference equations

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Publication:2908181
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DOI10.1017/S0308210510000077zbMath1266.39004OpenAlexW2006195646MaRDI QIDQ2908181

Harry Gingold

Publication date: 4 September 2012

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210510000077


zbMATH Keywords

asymptotic stabilityfinite-difference equationsmulti-step methodHenon mappolynomial difference equationbasin of divergencecompactification method


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Additive difference equations (39A10) Finite difference and finite volume methods for ordinary differential equations (65L12) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)


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