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This article is cited in 5 scientific papers (total in 5 papers)
APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY
Simulation of business and financial cycles: self-oscillation and synchronization
V. V. Matrosov, V. D. Shalfeev National Research Lobachevsky State University of Nizhni Novgorod, Russia
Abstract:
The purpose of this work is to research the phenomena of the self-oscillation and the synchronization for the model of business and financial oscillator, which presented as the system of automatic control. Methods. The research methods are the qualitative and numerical methods of the theory of nonlinear dynamical systems and the theory of the bifurcations. Results. This work presents the model of business and financial oscillators as the phase-controlled oscillator and as the frequency-controlled oscillator. The phenomena of the self-oscillation of regular and chaotic oscillations in this model and the synchronization of such oscillations are considered.
Keywords:
business cycles, financial cycles, dynamical chaos, synchronization.
Received: 09.03.2021
Citation:
V. V. Matrosov, V. D. Shalfeev, “Simulation of business and financial cycles: self-oscillation and synchronization”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:4 (2021), 515–537
Linking options:
https://www.mathnet.ru/eng/ivp432 https://www.mathnet.ru/eng/ivp/v29/i4/p515
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