Results 41 to 50 of about 17,826 (235)
The Local Bifurcation of Food web Prey-Predator Model involving fear and anti-Predator behavior
Ibn Al-Haitham Journal for Pure and Applied SciencesIn this paper, the conditions under which the occurrence of the local bifurcation (such as saddle-node (SN), transcritical (TC), and pitchfork (PT)) of all stable points of a food web model have been investigated.
Hanna Rasool Hadi, Azhar Abbas Majeed
doaj +1 more source
Limits to ecological forecasting: Estimating uncertainty for critical transitions with deep learning
Methods in Ecology and Evolution, 2023 In the current age of a rapidly changing environment, it is becoming increasingly important to study critical transitions and how to best anticipate them. Critical transitions pose extremely challenging forecasting problems, which necessitate informative
Marcus Lapeyrolerie, Carl Boettiger
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A normal form for excitable media
, 2006 We present a normal form for travelling waves in one-dimensional excitable media in form of a differential delay equation. The normal form is built around the well-known saddle-node bifurcation generically present in excitable media.
Georg A. Gottwald +4 more
core +2 more sources
Bifurcation, chaos, and voltage collapse in power systems [PDF]
, 1995 A model of a power system with load dynamics is studied by investigating qualitative changes in its behavior as the reactive power demand at a load bus is increased.
Tan, ChinWoo +3 more
core +1 more source
Scaling in activated escape of underdamped systems
, 2005 Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped.
A. P. Dmitriev +10 more
core +1 more source
Ibn Al-Haitham Journal for Pure and Applied SciencesIn this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established.
Asmaa Aziz, Azhar Abbas Majeed
doaj +1 more source
Critical phenomena in globally coupled excitable elements
, 2008 Critical phenomena in globally coupled excitable elements are studied by focusing on a saddle-node bifurcation at the collective level. Critical exponents that characterize divergent fluctuations of interspike intervals near the bifurcation are ...
C. L. Farrow +4 more
core +1 more source
A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation
Abstract and Applied Analysis, 2011 We consider a nonlinear equation F(ε,λ,u)=0, where the parameter ε is a perturbation parameter, F is a differentiable mapping from R×R×X to Y, and X, Y are Banach spaces.
Ping Liu, Yuwen Wang
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A double saddle-node bifurcation theorem
Communications on Pure & Applied Analysis, 2013 In this paper, we consider an abstract equation $F(\lambda,u)=0$ with one parameter $\lambda$, where $F\in C^p(\mathbb{R} \times X, Y)$, $p\geq 2$, is a nonlinear differentiable mapping, and $X,Y$ are Banach spaces. We apply Lyapunov-Schmidt procedure and Morse Lemma to obtain a "double" saddle-node bifurcation theorem with a two-dimensional ...
Ping Liu, Junping Shi, Yuwen Wang
openaire +1 more source
Journal of Fish Biology, EarlyView.Abstract A new species of Characidium is described from the Urubamba River basin, within the Ucayali‐Urubamba Piedmont ecoregion, Peru. The new species can be readily distinguished from all congeners, except Characidium cacah, Characidium chicoi, Characidium helmeri, Characidium mirim, Characidium nana, Characidium nupelia, Characidium sterbai ...
Leonardo Oliveira‐Silva +6 more
wiley +1 more source