It is useful to divide bifurcations into two principal classes: • Local bifurcations, which can be analysed entirely through changes in the local stability properties of equilibria, periodic orbits or other invariant sets as parameters cross through critical thresholds; and • Global bifurcations, which often occur when larger invariant sets of the system 'collide' with each other, o… WebJan 1, 2024 · The fold-flip bifurcation occurs if a map has a fixed point with multipliers +1 and -1 simultaneously. In this paper the normal form of this singularity is calculated explicitly. Both local and ...
Flip Bifurcation -- from Wolfram MathWorld
WebSep 13, 2024 · The main purpose of this paper is to consider the bifurcation problems of the new discrete system at its equilibria \( E_{1} \), \( E_{2} \) and \( E_{3} \), namely, for their transcritical bifurcation and flip bifurcation, which are more important and difficult. Moreover, these problems have not been considered in any literature yet, hence ... WebNov 25, 2024 · In this paper, we study the stability and bifurcation analysis of a class of discrete-time dynamical system with capture rate. The local stability of the system at equilibrium points are discussed. By using the center manifold theorem and bifurcation theory, the conditions for the existence of flip bifurcation and Hopf bifurcation in the ... camryn foppe
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WebAbstract The fold-flip bifurcation occurs if a map has a fixed point with multipliers +1 and -1 simultaneously. In this paper the normal form of this singularity is calculated explicitly. WebJul 22, 2024 · Fold and flip bifurcation structures of the homographic Ricker map are investigated, in which there are flip codimension-2 bifurcation points and cusp points, while some parameters evolve. Some communication areas and big bang bifurcation curves are also detected. Numerical studies are included. WebApr 6, 2024 · In this paper, we consider a general time-space discrete host-parasitoid model with the periodic boundary conditions. We analyzed and obtained some usual conditions, such as Turing instability occurrence, Flip bifurcation occurrence, and Neimark-Sacker bifurcation occurrence. We also find several multiple bifurcation phenomena, such as … fish and chip shops in hemel hempstead