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Matsumoto, A. and Szidarovszky, F. (2018) Goodwin Accelerator Model Revisited with Fixed Time Delays. Communications in Nolinear Science and Numerical Simulation, 58, 233-248.
https://doi.org/10.1016/j.cnsns.2017.06.024

has been cited by the following article:

• TITLE: Goodwin Accelerator Model Revisited with Piecewise Linear Delay Investment

  AUTHORS: Akio Matsumoto, Keiko Nakayama, Ferenc Szidarovszky

  KEYWORDS: Nonlinear Accelerator, Investment Delay, Successive Integration, Smooth and Kinked Solutions, Numerical Analysis

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.2, February 28, 2018

  ABSTRACT: It is well-known that Goodwin’s nonlinear delay accelerator model can generate diverse oscillations (i.e., smooth and sawtooth oscillations). It is, however, less-known what conditions are needed for these dynamics to emerge. In this study, using a piecewise linear investment function, we solve the governing delay differential equation and obtain the explicit forms of the time trajectories. In doing so, we detect conditions for persistent oscillations and also conditions for the birth of such cyclic dynamics.