Dynamics near manifolds of equilibria of codimension one and bifurcation without parameters
, 2010 We investigate the breakdown of normal hyperbolicity of a manifold of equilibria of a flow. In contrast to classical bifurcation theory we assume the absence of any flow-invariant foliation at the singularity transverse to the manifold of equilibria.
Liebscher, Stefan
core +1 more source
Semi-global analysis of periodic and quasi-periodic k:1 and k:2 resonances [PDF]
The present paper investigates a family of nonlinear oscillators at Hopf bifurcation, driven by a small quasi-periodic forcing. In particular, we are interested in the situation that at bifurcation and for vanishing forcing strength, the driving ...
Wagener, F.O.O.
core
Cell cycle oscillations driven by two interlinked bistable switches. [PDF]
Mol Biol Cell, 2023 Parra-Rivas P, Ruiz-Reynés D, Gelens L.
europepmc +1 more source
Scale free avalanches in excitatory-inhibitory populations of spiking neurons with conductance based synaptic currents. [PDF]
J Comput Neurosci, 2023 Ehsani M, Jost J.
europepmc +1 more source
Bidirectionally Regulating Gamma Oscillations in Wilson-Cowan Model by Self-Feedback Loops: A Computational Study. [PDF]
Front Syst Neurosci, 2022 Li X, Li Z, Yang W, Wu Z, Wang J.
europepmc +1 more source
Autophosphorylation and the Dynamics of the Activation of Lck. [PDF]
Bull Math Biol, 2021 Kreusser LM, Rendall AD.
europepmc +1 more source
Bifurcation Control on the Un-Linearizable Dynamic System via Washout Filters. [PDF]
Sensors (Basel), 2022 Zhai C, Yang C, Na J.
europepmc +1 more source
Global Dynamics of a Susceptible-Infectious-Recovered Epidemic Model with a Generalized Nonmonotone Incidence Rate. [PDF]
J Dyn Differ Equ, 2021 Lu M, Huang J, Ruan S, Yu P.
europepmc +1 more source
A nested bistable module within a negative feedback loop ensures different types of oscillations in signaling systems. [PDF]
Sci Rep, 2023 Marrone JI, Sepulchre JA, Ventura AC.
europepmc +1 more source
Immune Modulation in the Tumor Microenvironment: Bifurcation Analysis of Cancer-CTL-Monocyte Dynamics. [PDF]
Bull Math BiolHernandez-Lopez E, Milne R, Wang X.
europepmc +1 more source