ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Zinchenko A. J. Investigation of regular and chaotic dynamics of one financial system. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 2, pp. 173-187. DOI:


Investigation of regular and chaotic dynamics of one financial system

Zinchenko Artem Jurevich, National Technical University of Ukraine "Kyiv Polytechnic Institute"

Based on complex numerical investigation for the nonlinear ?nancial system introduced by Chen a map of dynamic regimes has been built, depending on the bifurcation parameters. All the major scenarios of transition to deterministic chaos have been found. Theorems of the existence of the globally exponentially attractive set and positive invariant, of periodic solutions, of Poincare–Andronov–Hopf bifurcation existence and theorems in the ?eld of control of attractors are proved.

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