Dynamics and bifurcations of fuzzy nonlinear dynamical systems

This article presents a study on how changes in fuzzy parameters can affect the behavior of fuzzy solutions. Such fuzzy solutions are obtained by applying the Zadeh extension principle on deterministic solutions of autonomous differential equations. We define the concepts of topological equivalence and fuzzy bifurcation value for fuzzy flows. Using these notions, we prove some results for the existence of such bifurcation values. We also provide some examples and computational simulations to illustrate the results.