Zobrazeno 1 - 10
of 2 093
pro vyhledávání: '"34C23"'
Autor:
Gandhi, Punit, Wang, Yangyang
Two identical van der Pol oscillators with mutual inhibition are considered as a conceptual framework for modeling a latching mechanism for cell cycle regulation. In particular, the oscillators are biased to a latched state in which there is a global
Externí odkaz:
http://arxiv.org/abs/2412.09437
Autor:
Sato, Kazuki, Takahashi, Futoshi
In this paper, we study an overdetermined problem with Kirchhoff type nonlocal terms related to the celebrated work by Serrin. We obtain the precise number of solutions according to the value of the bifurcation parameter and study asymptotics of bifu
Externí odkaz:
http://arxiv.org/abs/2412.09194
A deterministic nonlinear ordinary differential equation model for mosquito dynamics in which the mosquitoes can quest for blood either within a human population or within non-human/vertebrate populations is derived and studied. The model captures bo
Externí odkaz:
http://arxiv.org/abs/2412.05924
Autor:
Jencks, Robert
Zebrafish have been used as a model organism in many areas of biology, including the study of pattern formation. The mean-field survival model is a coupled ODE system describing the expected evolution of chromatophores coordinating to form stripes in
Externí odkaz:
http://arxiv.org/abs/2411.15293
In this article, we study the FitzHugh-Nagumo $(1,1)$--fast-slow system where the vector fields associated to the slow/fast equations come from the reduction of the Hodgin-Huxley model for the nerve impulse. After deriving dynamical properties of the
Externí odkaz:
http://arxiv.org/abs/2411.11209
Autor:
Sato, Kazuki, Takahashi, Futoshi
In this paper, we study one-dimensional boundary blow up problems with Kirchhoff type nonlocal terms on an interval. We perform a bifurcation analysis on the problems and obtain the precise number of solutions according to the value of the bifurcatio
Externí odkaz:
http://arxiv.org/abs/2411.10802
Autor:
Buzzi, Claudio A., Novaes, Douglas D.
For a given natural number $n$, the second part of Hilbert's 16th Problem asks whether there exists a finite upper bound for the maximum number of limit cycles that planar polynomial vector fields of degree $n$ can have. This maximum number of limit
Externí odkaz:
http://arxiv.org/abs/2411.09594
In this work, we investigate the spike-adding mechanism in a class of three-dimensional fast-slow systems with three distinct timescales, inspired by the FitzHugh-Nagumo (FHN) model driven by periodic input. First, we numerically generate a bifurcati
Externí odkaz:
http://arxiv.org/abs/2411.00152
In this paper, we give a full description of all possible singular points that occur in generic 2-parameter families of vector fields on compact 2-manifolds. This is a part of a large project aimed to a complete study of global bifurcations in two-pa
Externí odkaz:
http://arxiv.org/abs/2410.11465
Autor:
Gebrezabher, Zeray H., Eroglu, Deniz
Crime remains one of the significant problems that countries are grappling with globally. With shrinking economies and increasing poverty, crime has been on the rise in many countries. In this paper, we propose a system of non-linear ordinary differe
Externí odkaz:
http://arxiv.org/abs/2410.09989