Browsing by Author "Chernyshenko, Sergey V."

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    Generating Chaos in 3D Systems Of Quadratic Differential Equations With 1D Exponential Maps
    (World Scientific Publishing Company, 2013) Belozyorov, Vasiliy Ye.; Chernyshenko, Sergey V.
    EN: New existence conditions of homoclinic orbits for some systems of ordinary quadratic differential equations with singular linear part are found. A realization of these conditions guarantees the existence of chaotic attractors at 3D autonomous quadratic systems. Examples of chaotic attractors are given.
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    Quadratic Model of Inter-Population Interaction: Investigation of Stability Areas
    (Elsevier, 2013) Belozyorov, Vasiliy Ye.; Chernyshenko, Sergey V.
    EN: A development quadratic model of the heterogeneous biological population consisting of a few sub-populations is investigated. The classic stabilization problem of solutions for the system of ordinary quadratic differential equations, which describing this model, is solved. Examples are given.