Abstract
Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
Highlights
Many studies have taken bifurcation as the main mathematical mechanism for the forming spatial self-organizing patterns, and have obtained simulated patterns that are highly similar to the actual patterns [5], [6]
In the discrete model (2.1) of this paper, focusing on the intrinsic growth rate of vegetation h d−1, Flip bifurcation and Neimark-Sacker bifurcation can occur without spatial terms
We found an interesting thing in the process of simulating Flip bifurcation
Summary
Bifurcation is an important reason for the formation of selforganizing patterns [1]–[4]. We choose a wind-sand vegetation model as an example to study the compatibility between bifurcations. A2 m · d−1 is the advection coefficient representing the dispersal of vegetation by wind. D2 m2 · d−1 is the diffusion coefficient representing the dispersal of vegetation without strong unidirectional wind. In the model of this paper, the spatial diffusion and flow processes of vegetation and sedimentary sand are considered first. In the discrete model (2.1) of this paper, focusing on the intrinsic growth rate of vegetation h d−1 , Flip bifurcation and Neimark-Sacker bifurcation can occur without spatial terms. A question arises as to what the dynamics will be can Turing-Flip, Turing-Neimark-Sacker, Flip-Neimark-Sacker and Turing-Neimark-Sacker-Flip bifurcation occurs, and how they influence the self-organization of vegetation patterns. We will discuss the possible reasons that cause the different pattern
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
