-
Abstract
Several discrete-time dynamic models are ultimately expressed in the form of
iterated piecewise linear functions, in one- or two- dimensional spaces. In
this paper we study a one-dimensional map made up of three linear pieces
which are separated by two discontinuity points, motivated by a dynamic
model arising in social sciences. Starting from the bifurcation structure
associated with one-dimensional maps with only one discontinuity point, we
show how this is modified by the introduction of a second discontinuity
point, and we give the analytic expressions of the bifurcation curves of the
principal tongues (or tongues of first degree) for the family of maps
considered, which depends on five parameters.
Mathematics Subject Classification: Primary: 37E05, 37G15, 39A11.
\begin{equation} \\ \end{equation}
-
Access History
-
{{journal.titleEn}} 
DownLoad: