Dynamics of the driven Goodwin business cycle equation

Journal Article · Wed Oct 28 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4934298· OSTI ID:22492608

Antonova, A. O., E-mail: [e-mail] ^[1]; Reznik, S. N., E-mail: [e-mail] ^[2]; Todorov, M. D., E-mail: [e-mail] ^[3]

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1. National Aviation University, 1Kosmonauvta Komarova Ave., 03058 Kyiv (Ukraine)
2. Institute for Nuclear Research, National Academy of Sciences of Ukraine, 47 Prospekt Nauky, 03680 Kyiv (Ukraine)
3. Faculty of Applied Mathematics and Computer Science, Technical University of Sofia, 8 Kliment Ohridski Blvd., 1000 Sofia (Bulgaria)

We study dynamics of the Goodwin nonlinear accelerator business cycle model with periodic forced autonomous investment I{sub a}(t) = a(1 – cos ωt), where a and ω are the amplitude and the frequency of investment. We give examples of the parameters a and ω when the chaotic oscillations of income are possible. We find the critical values of amplitude a{sub cr} (ω): if a > a{sub cr} (ω) the period of the income equals to the driving period T=2π/ω.

• OSTI ID: 22492608
• Journal Information: AIP Conference Proceedings, Vol. 1684, Issue 1; Conference: AMiTaNS'15: 7. international conference for promoting the application of mathematics in technical and natural sciences, Albena (Bulgaria), 28 Jun - 3 Jul 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CHAOS THEORY
EQUATIONS
INCOME
INVESTMENT
NONLINEAR PROBLEMS
PERIODICITY