Results 51 to 60 of about 1,893 (192)

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

Bifurcation Analysis of Bogdanov–Takens Bifurcations in Delay Differential Equations

SIAM Journal on Applied Dynamical Systems
128 pages, 39 ...
M. M. Bosschaert, Yu. A. Kuznetsov
openaire   +5 more sources

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

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System

Abstract and Applied Analysis, 2013
A delayed modified Leslie-Gower predator prey system with nonlinear harvesting is considered. The existence conditions that an equilibrium is Bogdanov-Takens (BT) or triple zero singularity of the system are given. By using the center manifold reduction,
Xia Liu, Jinling Wang
doaj   +1 more source

On the Takens-Bogdanov Bifurcation in the Chua’s Equation [PDF]

, 1999
The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua’s equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation sets, where the presence of ...
Algaba Durán, Antonio, Freire Macías, Emilio, Gamero Gutiérrez, Estanislao, Rodríguez Luis, Alejandro José   +3 more
core  

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah, Faizah J. Alanazi, Mehmet Yavuz, Sayed Saber, Mengxin Chen   +4 more
wiley   +1 more source

A proof of Perko's conjectures for the Bogdanov-Takens system

, 2013
The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-loop
Gasull, Armengol, Giacomini, Hector, Perez-Gonzalez, Set, Torregrosa, Joan   +3 more
core   +3 more sources