WebThis paper is an attempt to give new results, by a computer-assisted study, on some global bifurcations that change the structure of the domain of feasible trajectories (bounded discrete trajectories having an ecological sense) which can be obtained by the union of all rank preimages of axes. ... International Journal of Bifurcation and Chaos. WebAug 1, 2010 · Global bifurcations are catastrophic and always lead to the merging or disappearance of attractors. A list of global bifurcation types is compared to a list of ecological consequences of occurring global bifurcations. ... Global Bifurcations and Chaos: Analytical methods (1988) S. Wiggins Introduction to Applied Nonlinear …
Chaos: An Interdisciplinary Journal of Nonlinear Science
WebNov 10, 2024 · By doing so, we assess whether the enhanced non-linearity of the system is likely to disrupt the hypothesized and provisionally verified chain of delay-induced global bifurcations destroying local attractors one by one, leading to global chaos at large values of τ, and thus removing the barriers that without the delay prevented the phase ... WebOct 15, 2024 · In regions where coexisting solutions are found, homoclinic connections ensue codimension-two Bogdanov–Takens and Double-Hopf bifurcations and that for a … finding happiness in little things
Information geometry theory of bifurcations? A covariant …
WebApr 10, 2024 · Double-scroll attractors are one of the pillars of modern chaos theory. However, rigorous computer-free analysis of their existence and global structure is often elusive. ... For example, non-smooth systems can undergo local and global bifurcations that are essentially different from their smooth counterparts, 16–20 16. Y. A. Kuznetsov, … Web"Global Bifurcations and Chaos: Analytical Methods" is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the … WebMar 14, 2024 · Bifurcations are said to have co-dimension k if it is necessary to (simultaneously) vary k parameters for the bifurcation to occur and to describe it. A co-dimension 2 bifurcation, for example, occurs at an isolated point in a two-dimensional parameter plane. 4.1.4 Global Bifurcations finding handicapped accessible housing