Results 81 to 90 of about 7,371 (144)

The Potential Role of Seasonal Surface Heating on the Chaotic Origins of the El Niño/Southern Oscillation Spring Predictability Barrier

Journal of Geophysical Research: Atmospheres, Volume 129, Issue 14, 28 July 2024.
Abstract The Spring Predictability Barrier (SPB) phenomenon is characterized by the reduced accuracy of El Niño/Southern Oscillation (ENSO) forecasts during the spring, which substantially limits our ability to predict ENSO events. By investigating the nonlinear dynamic characteristics of ENSO systems simulated by a box model, we found that the strong ...
Dakuan Yu, Meng Zhou, Chaoxun Hang
wiley   +1 more source

Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations

, 2015
The Koper model is a three-dimensional vector field that was developed to study complex electrochemical oscillations arising in a diffusion process.
Guckenheimer, John, Lizarraga, Ian
core   +1 more source

Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks

Mathematical Methods in the Applied Sciences, Volume 47, Issue 4, Page 2993-3006, 15 March 2024.
Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states) under otherwise identical conditions, and it is a phenomenon of recognized importance for biochemical systems. Multistationarity may appear in the parameter space as a consequence of saddle‐node bifurcations, which necessarily require an algebraically ...
Nicola Vassena
wiley   +1 more source

Food Quality in Producer-Grazer Models: A Generalized Analysis

, 2010
Stoichiometric constraints play a role in the dynamics of natural populations, but are not explicitly considered in most mathematical models. Recent theoretical works suggest that these constraints can have a significant impact and should not be ...
Feudel, Ulrike, Gross, Thilo, Kooi, Bob W., Stiefs, Dirk, van Voorn, George A. K.   +4 more
core   +2 more sources

Characterization of K-complexes and slow wave activity in a neural mass model.

PLoS Computational Biology, 2014
NREM sleep is characterized by two hallmarks, namely K-complexes (KCs) during sleep stage N2 and cortical slow oscillations (SOs) during sleep stage N3.
Arne Weigenand, Michael Schellenberger Costa, Hong-Viet Victor Ngo, Jens Christian Claussen, Thomas Martinetz   +4 more
doaj   +1 more source

The loop quantities and bifurcations of homoclinic loops

Journal of Differential Equations, 2007
AbstractThe stability and bifurcations of a homoclinic loop for planar vector fields are closely related to the limit cycles. For a homoclinic loop of a given planar vector field, a sequence of quantities, the homoclinic loop quantities were defined to study the stability and bifurcations of the loop.
Han, Maoan, Zhu, Huaiping
openaire   +3 more sources

Oscillations in three‐reaction quadratic mass‐action systems

Studies in Applied Mathematics, Volume 152, Issue 1, Page 249-278, January 2024.
Abstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Murad Banaji, Balázs Boros, Josef Hofbauer   +2 more
wiley   +1 more source

On the localized wave patterns supported by convection-reaction-diffusion equation

, 2009
A set of traveling wave solution to convection-reaction-diffusion equation is studied by means of methods of local nonlinear analysis and numerical simulation.
Andronov, Barannyk, Barenblatt, Cherniha, Cz. Mączka, Dodd, Fan, Gilding, Guckenheimer, Hassard, Korman, Lou, Nekhamkina, Olver, Olver, Pikovsky, Rosenau, Rosenau, Smoller, Tang, V.A. Vladimirov, Vladimirov, Vladimirov, Vladimirov   +23 more
core   +1 more source

Global bifurcation of homoclinic solutions

Journal of Differential Equations
In the analysis of parametrized nonautonomous evolutionary equations, bounded entire solutions are natural candidates for bifurcating objects. Appropriate explicit and sufficient conditions for such branchings, however, require to combine contemporary functional analytical methods from the abstract bifurcation theory for Fredholm operators with tools ...
Iacopo P. Longo, Christian Pötzsche, Robert Skiba   +2 more
openaire   +2 more sources

Analysis of the Stability and Chaotic Dynamics of an Ecological Model

Complexity, Volume 2024, Issue 1, 2024.
Modelling has become an eminent tool in the study of ecological systems. Ecological modelling can help implement sustainable development, mathematical models, and system analysis that explain how ecological processes can promote the sustainable management of resources.
Muhammad Aqib Abbasi, Qamar Din, Olayan Albalawi, Rizwan Niaz, Mohammed Ahmed Alomair, Abdullah Mohammed Alomair, Daniel Oro   +6 more
wiley   +1 more source