%0 Journal Article
%T Goodwin Accelerator Model Revisited with Piecewise Linear Delay Investment
%A Akio Matsumoto
%A Keiko Nakayama
%A Ferenc Szidarovszky
%J Advances in Pure Mathematics
%P 178-217
%@ 2160-0384
%D 2018
%I Scientific Research Publishing
%R 10.4236/apm.2018.82010
%X It is
well-known that Goodwin<span style=\"font-family:Verdana;\">กฏ</span><span style=\"font-family:;\" \"=\"\"><span style=\"font-family:Verdana;\">s nonlinear delay accelerator model can generate diverse oscillations (</span><i><span style=\"font-family:Verdana;\">i.e</span></i><span style=\"font-family:Verdana;\">., 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.</span></span>
%K Nonlinear Accelerator
%K Investment Delay
%K Successive Integration
%K Smooth and Kinked Solutions
%K Numerical Analysis
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=82740