Results 51 to 60 of about 18,412 (196)

Stationary and oscillatory bound states of dissipative solitons created by the third-order dispersion

, 2018
We consider the model of fiber-laser cavities near the zero-dispersion point, based on the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity, including the third-order dispersion (TOD) term.
Malomed, Boris A., Sakaguchi, Hidetsugu, Skryabin, Dmitry   +2 more
core   +1 more source

Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation

Natural Resource Modeling, Volume 39, Issue 2, May 2026.
ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu, Mohammed Yiha Dawed, Tesfaye Tefera Mamo   +2 more
wiley   +1 more source

Wavy stripes and squares in zero P number convection

, 2001
A simple model to explain numerically observed behaviour of chaotically varying stripes and square patterns in zero Prandtl number convection in Boussinesq fluid is presented.
A. Chiffaudel, A. Das, E.A. Spiegel, F.H. Busse, J. Friedrich, J. Liu, J.N. Koster, K. Kumar, K. Kumar, Krishna Kumar, M. Meneguizzi, M.C. Cross, M.R. Proctor, O. Thual, P.L. Sulem, Pinaki Pal, R.H. Kraichnan, R.M. Clever, R.M. Clever, S. Fauve, V. Croquette, V. Croquette, Y.-S. Lee, Y.C. Hu   +23 more
core   +1 more source

Critical phenomena and noise-induced phase transitions in neuronal networks [PDF]

, 2013
We study numerically and analytically first- and second-order phase transitions in neuronal networks stimulated by shot noise (a flow of random spikes bombarding neurons).
Goltsev, A. V., Lee, K. -E., Lopes, M. A., Mendes, J. F. F.   +3 more
core   +3 more sources

Are physiological oscillations physiological?

The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

Bifurcation Control in an Optimal Velocity Model via Double Time-Delay Feedback Method

IEEE Access, 2020
In this paper, a double time-delay feedback control of an optimal velocity model (OVM) is investigated. Double time-delay means that there exist two different state feedback control signals in the controlled OVM system, which are related to the velocity ...
Weilin Ren, Rongjun Cheng, Hongxia Ge, Qi Wei   +3 more
doaj   +1 more source

Isolated periodic wave trains in a generalized Burgers–Huxley equation

Electronic Journal of Qualitative Theory of Differential Equations, 2022
We study the isolated periodic wave trains in a class of modified generalized Burgers–Huxley equation. The planar systems with a degenerate equilibrium arising after the traveling transformation are investigated.
Qinlong Wang, Yu'e Xiong, Wentao Huang, Valery Romanovski   +3 more
doaj   +1 more source

Zero‐Hopf bifurcation in the Volterra‐Gause system of predator‐prey type [PDF]

Mathematical Methods in the Applied Sciences, 2017
We prove that the Volterra‐Gause system of predator‐prey type exhibits 2 kinds of zero‐Hopf bifurcations for convenient values of their parameters. In the first, 1 periodic solution bifurcates from a zero‐Hopf equilibrium, and in the second, 4 periodic solutions bifurcate from another zero‐Hopf equilibrium. This study is done using the averaging theory
Jean‐Marc Ginoux, Jaume Llibre
openaire   +4 more sources

Cell‐Size Confinement Drives Size‐Dependent Scaling of Intracellular Reaction‐Diffusion Waves for Robust Patterning

Small Science, Volume 6, Issue 4, April 2026.
Intracellular reaction‐diffusion (iRD) waves scale their wavelength to space size when they are confined within cell‐size spaces, despite having intrinsic wavelength in open systems. This wavelength selection ensures the scaling of the wave shape and the velocity, preserving these essential properties against physicochemical perturbations. This scaling
Sakura Takada, Shunshi Kohyama, Miho Yanagisawa, Nobuhide Doi, Natsuhiko Yoshinaga, Kei Fujiwara   +5 more
wiley   +1 more source

Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT In ecological systems, animal movement is often influenced by memory and spatial cognition, especially in advanced species. This paper investigates the dynamics of a diffusive resource–consumer model incorporating explicit spatiotemporal distributed memory, where memory effects are modeled as distributed delays in both time and space.
Luhong Ye, Hao Wang
wiley   +1 more source