Stochastic sensitivity analysis of the variability of dynamics and transition to chaos in the business cycles model / Bashkirtseva Irina,Ryashko Lev,Ryazanova Tatyana // COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. - 2018. - V. 54, l. . - P. 174-184.

ISSN/EISSN:

1007-5704 / 1878-7274

Type:

Article

Abstract:

A problem of mathematical modeling of complex stochastic processes in macroeconomics is discussed. For the description of dynamics of income and capital stock, the well-known Kaldor model of business cycles is used as a basic example. The aim of the paper is to give an overview of the variety of stochastic phenomena which occur in Kaldor model forced by additive and parametric random noise. We study a generation of small- and large-amplitude stochastic oscillations, and their mixed-mode intermittency. To analyze these phenomena, we suggest a constructive approach combining the study of the peculiarities of deterministic phase portrait, and stochastic sensitivity of attractors. We show how parametric noise can stabilize the unstable equilibrium and transform dynamics of Kaldor system from order to chaos. (C) 2017 Elsevier B.V. All rights reserved.

Author keywords:

Kaldor model; Random oscillations; Stochastic sensitivity function; Noise-induced transitions; Chaos NOISE; PERSISTENCE; SYSTEMS

DOI:

10.1016/j.cnsns.2017.05.030

Web of Science ID:

ISI:000405496000014

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JAN
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1878-7274
Keywords-Plus	NOISE; PERSISTENCE; SYSTEMS
Research-Areas	Mathematics; Mechanics; Physics
Web-of-Science-Categories	Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	tatyana.ryazanova@urfu.ru
Number-of-Cited-References	31
Usage-Count-Last-180-days	63
Usage-Count-Since-2013	63
Journal-ISO	Commun. Nonlinear Sci. Numer. Simul.
Doc-Delivery-Number	FA5PO