Results 61 to 70 of about 25,515 (266)
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
Transient localized wave patterns and their application to migraine [PDF]
, 2012 Transient dynamics is pervasive in the human brain and poses challenging problems both in mathematical tractability and clinical observability. We investigate statistical properties of transient cortical wave patterns with characteristic forms (shape ...
Dahlem, Markus A, Isele, Thomas M
core +2 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
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
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
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
Small aspect ratio Taylor-Couette flow: onset of a very-low-frequency three-torus state [PDF]
, 2003 The nonlinear dynamics of Taylor-Couette flow in a small aspect ratio annulus (where the length of the cylinders is half of the annular gap between them) is investigated by numerically solving the full three-dimensional Navier-Stokes equations.
López Moscat, Juan Manuel +1 more
core +2 more sources
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
Memristive Chaotic Circuit for Information Processing Through Time
Advanced Intelligent Systems, EarlyView.A chaotic circuit that exploits the nonlinear characteristics of a memristive device is realized in hardware. The circuit response evolves through simple periodic, multiperiod, and chaotic regimes. The circuit also displays fading memory property. Finally, the circuit is used in a reservoir computing architecture to demonstrate nonlinear classification
Manuel Escudero +2 more
wiley +1 more source
Generalized scaling theory for critical phenomena including essential singularity and infinite dimensionality [PDF]
, 2012 We propose a generic scaling theory for critical phenomena that includes power-law and essential singularities in finite and infinite dimensional systems. In addition, we clarify its validity by analyzing the Potts model in a simple hierarchical network,
Koji Nemoto +4 more
core +2 more sources