Results 1 to 10 of about 504 (31)

Accurate reduction of a model of circadian rhythms by delayed quasi steady state assumptions [PDF]

, 2013
Quasi steady state assumptions are often used to simplify complex systems of ordinary differential equations in modelling of biochemical processes. The simplified system is designed to have the same qualitative properties as the original system and to ...
Vejchodský, Tomáš
core   +2 more sources

Uniqueness in the Freedericksz transition with weak anchoring [PDF]

, 2009
In this paper we consider a boundary value problem for a quasilinear pendulum equation with nonlinear boundary conditions that arises in a classical liquid crystals setup, the Freedericksz transition, which is the simplest opto-electronic switch, the ...
Barbero, Barnik, Belyakov, Davidson, de Gennes, Fernando P. da Costa, Freedericksz, Hermann, Jerome, João T. Pinto, Michael Grinfeld, Nehring, Nigel J. Mottram, Rapini, Schaaf, Smoller, Sonin, Stewart, Suhua, Virga, Yang   +20 more
core   +1 more source

On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 56, Page 2971-2987, 2004., 2004
A four‐dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three‐dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf‐Andronov‐Poincaré bifurcation for the four‐dimensional epidemic model are ...
M. M. A. El-Sheikh, S. A. A. El-Marouf
wiley   +1 more source

On Behaviour of a Host-vector Epidemic Model with Non-linear Incidence [PDF]

, 2012
In this paper we find the possible phase portraits and bifurcations for a general class of host-vector epidemic models with non-linear incidence function generalizing the Ross model.Key words: Epidemics; Non-linear incidence; Global analysis ...
Akoto, Bismark, Essel, Emmanuel Kwame, S¨oderbacka, Gunnar   +2 more
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On the critical periods of Liénard systems with cubic restoring forces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 61, Page 3259-3274, 2004., 2004
We study local bifurcations of critical periods in the neighborhood of a nondegenerate center of a Liénard system of the form x˙=−y+F(x), y˙=g(x), where F(x) and g(x) are polynomials such that deg(g(x)) ≤ 3, g(0) = 0, and g′(0) = 1, F(0) = F′(0) = 0 and the system always has a center at (0, 0). The set of coefficients of F(x) and g(x) is split into two
Zhengdong Du
wiley   +1 more source

Structural stability of the two-fold singularity [PDF]

, 2012
At a two-fold singularity, the velocity vector of a flow switches discontinuously across a codimension one switching manifold, between two directions that both lie tangent to the manifold. Particularly intricate dynamics arises when the local flow curves
Angulo Garcia, David, Di Bernardo, Mario, Fernandez-Garcia, Soledad, Jeffrey, Mike R, Olivar Tost, Gerard   +4 more
core   +1 more source

Preface. Bifurcations and Pattern Formation in Biological Applications [PDF]

, 2016
In the preface we present a short overview of articles included in the issue "Bifurcations and pattern formation in biological applications" of the journal Mathematical Modelling of Natural ...
A. Morozov, A. Morozov, Aydogmus, Banerjee, Bayliss, Biancalani, Burgess, Chaplain, Crampin, Eftimie, Gierer, Kelkel, Kondo, M. Ptashnyk, M. Ptashnyk, Madzvamuse, Maini, McKane, Murray, Painter, Sherratt, Siekmann, Turing, V. Volpert, V. Volpert, Valenti, Valenti, Wallace   +27 more
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Topology and Homoclinic Trajectories of Discrete Dynamical Systems [PDF]

, 2012
We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles Es(+{\infty}) and Es(-{\infty}) of ...
A. Abbondandolo, A. Abbondandolo, A. G. Baskakov, C. Pötzsche, C. Pötzsche, C. Pötzsche, D. Husemoller, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, Jacobo Pejsachowicz, M. F. Atiyah, M. G. Crandall, M. Rasmussen, P. Benevieri, P. Benevieri, P. M. Fitzpatrick, R. J. Sacker, Robert Skiba, S. Lang, T. Bartsch, T. Kato, Y. Hamaya   +24 more
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The spin-orbit resonances of the Solar system: A mathematical treatment matching physical data

, 2013
In the mathematical framework of a restricted, slightly dissipative spin-orbit model, we prove the existence of periodic orbits for astronomical parameter values corresponding to all satellites of the Solar system observed in exact spin-orbit ...
Antognini, Francesco, Biasco, Luca, Chierchia, Luigi   +2 more
core   +1 more source

On the period function of Newtonian systems [PDF]

, 2013
We study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x=y,\qquad \dot y = -h(x) - g(x)y - f(x)y^2.$$ We are interested in the period function $T$ around a center 0. A sufficient condition for the isochronicity of (
Chouikha, A. Raouf, Timoumi, Mohsen
core   +1 more source