Results 111 to 120 of about 8,177 (202)

Global bifurcation of homoclinic solutions

Journal of Differential Equations
In the analysis of parametrized nonautonomous evolutionary equations, bounded entire solutions are natural candidates for bifurcating objects. Appropriate explicit and sufficient conditions for such branchings, however, require to combine contemporary functional analytical methods from the abstract bifurcation theory for Fredholm operators with tools ...
Iacopo P. Longo, Christian Pötzsche, Robert Skiba   +2 more
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Homoclinic Bifurcations with Nonhyperbolic Equilibria

SIAM Journal on Mathematical Analysis, 1990
A general geometric approach is given for bifurcation problems with homoclinic orbits to nonhyperbolic equilibrium points of ordinary differential equations. It consists of a special normal form called admissible variables, exponential expansion, strong $\lambda $-lemma, and Lyapunov–Schmidt reduction for the Poincare maps under Sil’nikov variables ...
openaire   +2 more sources

Bifurcation of multi-bump homoclinics in systems with normal and slow variables

Electronic Journal of Differential Equations, 2000
Bifurcation of multi-bump homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Feckan
doaj  

Numerical analysis of a mechanotransduction dynamical model reveals homoclinic bifurcations of extracellular matrix mediated oscillations of the mesenchymal stem cell fate

, 2019
We perform one and two-parameter numerical bifurcation analysis of a mechanotransduction model approximating the dynamics of mesenchymal stem cell differentiation into neurons, adipocytes, myocytes and osteoblasts. For our analysis, we use as bifurcation
Kontolati, Katiana, Siettos, Constantinos   +1 more
core  

A predation model considering a generalist predator and the Rosenzweig functional response

Mathematical Modelling and Analysis
This work deals with the dynamics of an ordinary differential equation system describing a Leslie-Gower predator-prey model with a generalist predator and a non-differentiable functional response proposed by M. L. Rosenzweig, given by h(x) = qxα with 0 <
Viviana Rivera-Estay, Alejandro Rojas-Palma, Eduardo González-Olivares   +2 more
doaj   +1 more source

Heterodimensional cycles near homoclinic bifurcations

, 2016
In this thesis we study bifurcations of a pair of homoclinic loops to a saddle-focus equilibrium (with a one-dimensional unstable manifold) in flows with dimension four or higher. Particularly, we show that heterodimensional cycles can be born from such bifurcations.
openaire   +3 more sources

Triple-zero singularity of a Kaldor–Kalecki model of business cycles with delay

Nonlinear Analysis, 2013
In this manuscript, we study triple zero singularity of a Kaldor–Kalecki model of business cycles with delay in both the gross product and the capital stock.
Xiaoqin P. Wu
doaj  

Modelling dysfunction-specific interventions for seizure termination in epilepsy. [PDF]

NPJ Syst Biol Appl
Kamaraj AK, Szuromi MP.
europepmc   +1 more source

Wavelength Selection for Periodic Travelling Waves: An Unsolved Problem. [PDF]

Bull Math Biol
Eigentler L, Sensi M.
europepmc   +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