… On the one hand, discrete-time dynamical systems generated by iterated nonlinear maps
appear in many scientific fields, such as biology, economics and engineering [3], [4], [5], [6], [7], […

… , whose time evolution is modeled by the iteration of a map is … -2 bifurcations of the system
(1) and its higher iterations … 2, the codim-1 bifurcations of the model are extracted. In Sec. …

… aims to investigate the codimension-one and codimension-two bifurcations of a discrete …
From left to right, the iteration number doubles when a new fixed point curve emanates from …

… -time dynamical systems generated by iterated nonlinear maps. In particular, it … codimension
of the bifurcation. Hence, we focus on a systematic study of local codim 1 and 2 bifurcations. …

… , giving results on the kinds of bifurcations associated with the violation of one or more of the
… on the codimension-1 bifurcations, as well as the bifurcations of higher codimension. When …

… By such an adaptively iterated process, the finally-formed … Cell Mapping with Adaptive
Interpolation (FGCM with AI). As the application of the FGCM with AI, codimension-two bifurcations …

… -linear map f in a … codimension-two subsumed homoclinic connection, a fundamental domain
of a branch of the unstable manifold maps linearly to the stable subspace under p iterations …

… the context effect of a repeated decision process over the same two available alternatives (…
above is not directly applicable to the codimension-2 points P1 and P2 of map (4). In fact, for …

… codimension-2 local bifurcation manifolds. Specifically, we derive the necessary conditions
for all generic local codimension-2 bifurcations … derivations should be repeated with the time …

… to analyzing the codimension-2 bifurcations of a generalized … form theory combined with
some bifurcation theories, and under … a hyperbolic sector on its two-dimensional center manifold. …