Системний підхід до розв’язання прямих і обернених задач у системах з хаосом

• Дата: 2017
• Автори: Danylov, Valery Ya., Zinchenko, Artem Yu., Danilov, V. Ya.
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2017
• Теми: deterministic chaos; YU.-SH. Chen nonlinear system; bifurcation; reconstruction of mathematical model; детерминированный хаос; нелинейная систем Ю.-Ш. Чена; бифуркация; реконструкция математической модели; детермінований хаос; нелінійна систем Ю.-Ш. Чена; біфуркація; реконструкція математичної моделі
• Онлайн доступ: http://journal.iasa.kpi.ua/article/view/108571
• Назва журналу: System research and information technologies

In this paper, the systematic approach to the effective application of mathematical and computer modeling of dynamic systems is proposed for solving the problems of deterministic chaos research in complex nonlinear systems and related inverse problems. The scientific and technical task of enhancing mathematical modeling by improving existing methodologies of investigation of the deterministic chaos and by developing new mathematical models, based on the specialization of existing ones, is solved. To solve the problem, we suggested investigation schemes of direct (research modes of behavior depending on the bifurcation parameters) and inverse (reconstruction of mathematical models) tasks of the deterministic chaos in complex non-linear systems. Experimental studies are presented for scalar implementations of YU.-SH. Chen and Roessler nonlinear systems. For the last one, the equivalent model was constructed.