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  1. No Access

    Article

    Bistability in a One-Dimensional Model of a Two-Predators-One-Prey Population Dynamics System

    In this paper, we study a classical two-predators-one-prey model. The classical model described by a system of three ordinary differential equations can be reduced to a one-dimensional bimodal map. We prove th...

    S. Kryzhevich, V. Avrutin, G. Söderbacka in Lobachevskii Journal of Mathematics (2021)

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    Article

    Self-similarity of the bandcount adding structures: Calculation by map replacement

    Recently it has been demonstrated that the domain of robust chaos close to the periodic domain, which is organized by the period-adding structure, contains an infinite number of interior crisis bifurcation cur...

    V. Avrutin, M. Schanz, L. Gardini in Regular and Chaotic Dynamics (2010)