Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7154894 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 12 Pages |
Abstract
We study the dynamics of a model of interdependent consumer behavior defined by a family of two-dimensional noninvertible maps. This family belongs to a class of coupled logistic maps with different nonlinearity parameters and coupling terms that depend on one variable only. In our companion paper we considered the case of independent consumers as well as the case of uni-directionally connected consumers. The present paper aims at describing the dynamics in the case of a bi-directional connection. In particular, we investigate the bifurcation structure of the parameter plane associated with the strength of coupling between the consumers, focusing on the mechanisms of qualitative transformations of coexisting attractors and their basins of attraction.
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Authors
Ekaterina Ekaterinchuk, Jochen Jungeilges, Tatyana Ryazanova, Iryna Sushko,