Poincaré map approach to limit cycles of a simplified ultradiscrete Sel'kov model

نویسندگان

چکیده

Dynamical properties of the two limit cycles in a ultradiscrete Sel'kov model are analytically investigated. We construct Poincaré map for and reveal their stabilities; one is attracting other repelling. Basins identified. It found that basin repelling cycle has self-similar structure. also review from viewpoint integrable system theory.

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ژورنال

عنوان ژورنال: JSIAM Letters

سال: 2022

ISSN: ['1883-0609', '1883-0617']

DOI: https://doi.org/10.14495/jsiaml.14.127