Results 61 to 70 of about 26,001 (267)
Qualitative changes in phase-response curve and synchronization at the saddle-node-loop bifurcation.
Physical Review E, 2017 Prominent changes in neuronal dynamics have previously been attributed to a specific switch in onset bifurcation, the Bogdanov-Takens (BT) point. This study unveils another, relevant and so far underestimated transition point: the saddle-node-loop ...
Janina Hesse +2 more
semanticscholar +1 more source
Delay-induced multistability near a global bifurcation
, 2007 We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node.
E. SCHÖLL +5 more
core +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
doaj +1 more source
Noise-induced stabilization of saddle-node ghosts
New Journal of Physics, 2020 It is known that saddle-node (s-n) bifurcations leave a saddle remnant (or ghost) in the region of the phase space where the annihilation of the fixed points occurred. The corresponding time delay, td, found right after the bifurcation is known to follow
J. Sardanyés, Carles Raich, T. Alarcón
semanticscholar +1 more source
Unfoldings of saddle-nodes and their Dulac time [PDF]
, 2015 In this paper we study unfoldings of saddle-nodes and their Dulac time. By unfolding a saddle-node, saddles and nodes appear. In the first result (Theorem A) we prove uniform regularity by which orbits and their derivatives arrive at a node.
Mardesić, Pavao +3 more
core +5 more sources
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
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
IEEE Access, 2020 This paper presents a new concept for finding saddle-node bifurcation (SNB) points in voltage stability analysis of power systems by applying the extended functional method (EFM).
Pablo D. Paz Salazar +4 more
semanticscholar +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