Results 81 to 90 of about 180,188 (276)
Shock and Vibration, Volume 2025, Issue 1, 2025.To reduce the giant magnetostrictive actuator’s (GMA) irregular vibration caused by system parameter changes, we innovatively apply fractional‐order time‐delay feedback to control bifurcation and chaos in the GMA’s nonlinear dynamics. The GMA dynamic equation with feedback control is established using the quadratic domain rotation model, the Jiles ...
Xin Fu +4 more
wiley +1 more source
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 +4 more
doaj +1 more source
Tipping mechanisms in a conceptual model of the Atlantic Meridional Overturning Circulation
Weather, Volume 79, Issue 10, Page 316-323, October 2024.The Atlantic Meridional Overturning Circulation (AMOC) forms an essential component of the global ocean circulation. Paleoclimate records indicate the AMOC's capability to tip between different states that resulted in large global climate impacts Using an AMOC box model, re‐calibrated against a global circulation model, HadGEM3, we present a new ...
Ruth Chapman +2 more
wiley +1 more source
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
A bifurcation analysis for the Lugiato-Lefever equation
, 2016 The Lugiato-Lefever equation is a cubic nonlinear Schr\"odinger equation, including damping, detuning and driving, which arises as a model in nonlinear optics.
Godey, Cyril
core +1 more source
Hopf-homoclinic Bifurcations and Heterodimensional Cycles
Tokyo Journal of Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
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
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 +2 more
wiley +1 more source
Bifurcation diagrams for singularly perturbed system: the multi-dimensional case.
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We consider a singularly perturbed system where the fast dynamics of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system admits a unique critical point, which undergoes a bifurcation as a ...
Matteo Franca
doaj +1 more source
Families of solitons in Bragg supergratings
, 2012 We study fundamental optical gap solitons in the model of a fiber Bragg grating (BG), which is subjected to a periodic modulation of the local reflectivity, giving rise to a supergrating.
Malomed, Boris A. +2 more
core +1 more source