Results 31 to 40 of about 1,843 (161)

Global bifurcations in the Takens-Bogdanov normal form with D_4 symmetry near the O(2) limit [PDF]

, 2001
The dynamics of the normal form of the Takens-Bogdanov bifurcation with D_4 symmetry is governed by a one-dimensional map near the gluing bifurcation and near the O(2) integrable limit, rather than the three-dimensional map one would expect.
Rucklidge, A.M.
core   +1 more source

Hopf bifurcation with non-semisimple 1:1 resonance [PDF]

, 1990
A generalised Hopf bifurcation, corresponding to non-semisimple double imaginary eigenvalues (case of 1:1 resonance), is analysed using a normal form approach. This bifurcation has linear codimension-3, and a centre subspace of dimension 4.
Gils, S.A. van, Krupa, M., Langford, W.F.   +2 more
core   +3 more sources

Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In the paper, a predator-prey system with Beddington-DeAngelis functional response and constant rate harvesting is considered. Various dynamical behaviors of the system including saddle-node points and a cusp of codimension 2 are investigated by using ...
Jaeun Lee, Hunki Baek
doaj   +1 more source

Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting

Nonlinear Analysis
This paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability.
Chenyang Huangfu, Zhong Li
doaj   +1 more source

Travelling and standing waves in magnetoconvection [PDF]

, 1993
The problem of Boussinesq magnetoconvection with periodic boundary conditions is studied using standard perturbation techniques. It is fbund that either travelling waves or standing waves can be stable at the onset of oscillatory convection, depending
Matthews, P.C., Rucklidge, A.M.
core   +1 more source

Global Analysis of a Liénard System with Quadratic Damping

Discrete Dynamics in Nature and Society, 2018
In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc.
Feng Guo
doaj   +1 more source

A Numerical Study of Codimension-Two Bifurcations of an SIR-Type Model for COVID-19 and Their Epidemiological Implications

Communication in Biomathematical Sciences, 2023
We study the codimension-two bifurcations exhibited by a recently-developed SIR-type mathematical model for the spread of COVID-19, as its two main parameters -the susceptible individuals' cautiousness level and the hospitals' bed-occupancy rate- vary ...
Livia Owen, Jonathan Hoseana, Benny Yong
doaj   +1 more source

Control of Integrable Hamiltonian Systems and Degenerate Bifurcations

, 2004
We discuss control of low-dimensional systems which, when uncontrolled, are integrable in the Hamiltonian sense. The controller targets an exact solution of the system in a region where the uncontrolled dynamics has invariant tori.
C. W. Kulp, E. R. Tracy, H. Goldstein, I. Percival, J. Guckenheimer, J. Lega, R. Ortega, S. Wiggins, Y. Li   +8 more
core   +1 more source

Nonlinear Interaction of Transversal Modes in a CO2 Laser

, 2002
We show the possibility of achieving experimentally a Takens-Bogdanov bifurcation for the nonlinear interaction of two transverse modes ($l = \pm 1$) in a $CO_2$ laser.
C. Green, C. Pérez-García, E. D'Angelo, F. T. Arecchi, G. B. Mindlin, G. Dangelmayr, G. Dangelmayr, H. Solari, J. R. Tredicce, R. López-Ruiz, R. López-Ruiz   +10 more
core   +1 more source

Modeling the dynamics of glacial cycles [PDF]

, 2017
This article is concerned with the dynamics of glacial cycles observed in the geological record of the Pleistocene Epoch. It focuses on a conceptual model proposed by Maasch and Saltzman [J. Geophys. Res.,95, D2 (1990), pp.
A Khibnik, B Saltzman, B Saltzman, D Paillard, D Paillard, D Paillard, DZ Sun, EJ Doedel, EJ Doedel, G Dangelmayr, H Engler, H Poincaré, H Treut Le, HA Dijkstra, HW Broer, J Carr, J Guckenheimer, J Imbrie, J Laskar, J Marshall, JD Hayes, JR Petit, KA Maasch, KH Cook, M Crucifix, M Ghil, M Milankovič, M Raymo, NJ Shackleton, P Ashwin, P Clark, P Huybers, P Huybers, P Huybers, R Cushman, RI Bogdanov, S Rutherford, V Arnold, V Melnikov, Y Ashkenazy, YA Kuznetsov, YA Kuznetsov   +41 more
core   +2 more sources