Existence and Stability of 3-Cycles in Quadratic Maps

Dan Comănescu

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arXiv · 2601.14736

Existence and Stability of 3-Cycles in Quadratic Maps

Dan Comănescu

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Abstract

For a discrete dynamical system on $\R$ generated by a quadratic function, we show, using elementary computations, that the existence, number, and stability of 3-cycles are determined by a single parameter depending on the coefficients of the function.

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Dan Comănescu. 2026-01-21. Existence and Stability of 3-Cycles in Quadratic Maps. https://arxiv.org/abs/2601.14736

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