Results 51 to 60 of about 30,655 (149)

Bifurcation analysis of a model of the budding yeast cell cycle

, 2004
We study the bifurcations of a set of nine nonlinear ordinary differential equations that describe the regulation of the cyclin-dependent kinase that triggers DNA synthesis and mitosis in the budding yeast, Saccharomyces cerevisiae.
Battogtokh, Dorjsuren, Tyson, John J.
core   +1 more source

Mean field approximation of two coupled populations of excitable units

, 2012
The analysis on stability and bifurcations in the macroscopic dynamics exhibited by the system of two coupled large populations comprised of $N$ stochastic excitable units each is performed by studying an approximate system, obtained by replacing each ...
A. Pikovsky, C. W. Gardiner, D. Golomb, E. M. Izhikevich, F. M. Atay, G. Buzsáki, Igor Franović, J. Hale, J. L. P. Velazquez, Kristina Todorović, L. Arnold, L. Glass, Nebojša Vasović, Nikola Burić, P. A. Tass, S. Wiggins, S. A. Campbell, Y. A. Kuznetsov   +17 more
core   +1 more source

Statistical multi-moment bifurcations in random delay coupled swarms

, 2012
We study the effects of discrete, randomly distributed time delays on the dynamics of a coupled system of self-propelling particles. Bifurcation analysis on a mean field approximation of the system reveals that the system possesses patterns with certain ...
Brandon Lindley, Ira B. Schwartz, Luis Mier-y-Teran-Romero, N. Leonard, Y.-L. Chuang   +4 more
core   +1 more source

Canard explosion in delayed equations with multiple timescales [PDF]

, 2014
We analyze canard explosions in delayed differential equations with a one-dimensional slow manifold. This study is applied to explore the dynamics of the van der Pol slow-fast system with delayed self-coupling.
Krupa, Maciej, Touboul, Jonathan D.
core  

Characterization of cascadable excitability in a silicon-on-insulator microring [PDF]

, 2012
C
Bienstman, Peter, Dambre, Joni, Fiers, Martin, Kumar, Rajesh, Mechet, Pauline, Morthier, Geert, Schneider, Bendix, Schrauwen, Benjamin, Spuesens, Thijs, Van Vaerenbergh, Thomas, Vandoorne, Kristof   +10 more
core   +1 more source

Immune Modulation in the Tumor Microenvironment: Bifurcation Analysis of Cancer-CTL-Monocyte Dynamics. [PDF]

Bull Math Biol
Hernandez-Lopez E, Milne R, Wang X.
europepmc   +1 more source

Delayed dynamics and detoxification in nutrient-phytoplankto-by-product systems: mechanisms driving bloom stability and oscillations. [PDF]

Sci Rep
Baghel RS, Verma S, Khatri N.
europepmc   +1 more source

Amplification of magnetic field effects <i>via</i> critical dynamics in a nonlinear oscillatory system. [PDF]

Chem Sci
Zhang S, Yang ZS, Wang BW, Gao S, Zhang JL.   +4 more
europepmc   +1 more source

Emergence of multifrequency activity in a laminar neural mass model. [PDF]

PLoS Comput Biol
de Palma Aristides R, Clusella P, Sanchez-Todo R, Ruffini G, Garcia-Ojalvo J.   +4 more
europepmc   +2 more sources

Deep learning for predicting the occurrence of tipping points. [PDF]

R Soc Open Sci
Zhuge C, Li J, Chen W.
europepmc   +1 more source