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Title: Dynamics of the driven Goodwin business cycle equation

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.
Authors:
 [1] ;  [2] ;  [3]
  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)
Publication Date:
OSTI Identifier:
22492608
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1684; Journal 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; CHAOS THEORY; EQUATIONS; INCOME; INVESTMENT; NONLINEAR PROBLEMS; PERIODICITY