Results 51 to 60 of about 180,188 (276)

Vibration of the Duffing Oscillator: Effect of Fractional Damping

Shock and Vibration, 2007
We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of the Duffing system with nonlinear fractional damping and external excitation.
Marek Borowiec, Grzegorz Litak, Arkadiusz Syta   +2 more
doaj   +1 more source

Frequency spanning homoclinic families

, 2003
A family of maps or flows depending on a parameter $\nu$ which varies in an interval, spans a certain property if along the interval this property depends continuously on the parameter and achieves some asymptotic values along it. We consider families of
Arnold, Channon, Easton, Elskens, Gelfreich, Guckenheimer, Haberman, Henrard, Kaper, MacKay, Meiss, Meiss, Neishtadt, Neishtadt, Neı̆shtadt, Poincaré, Rom-Kedar, Rom-Kedar, Soto-Trevinõ, Tennyson, Treschev, Vered Rom-Kedar   +21 more
core   +1 more source

Bifurcation analysis of a wild and sterile mosquito model

Mathematical Biosciences and Engineering, 2019
The bifurcation of an ordinary differential equation model describing interaction of the wild and the released sterile mosquitoes is analyzed.
Xiaoli Wang, Junping Shi, Guohong Zhang
doaj   +1 more source

Food Quality in Producer-Grazer Models: A Generalized Analysis

, 2010
Stoichiometric constraints play a role in the dynamics of natural populations, but are not explicitly considered in most mathematical models. Recent theoretical works suggest that these constraints can have a significant impact and should not be ...
Feudel, Ulrike, Gross, Thilo, Kooi, Bob W., Stiefs, Dirk, van Voorn, George A. K.   +4 more
core   +2 more sources

The Generalized Homoclinic Bifurcation

Journal of Differential Equations, 1994
The author considers a family \(X_ \lambda\) of vector fields that has at \(\lambda= 0\) a homoclinic loop of multiplicity \(n\). The aim of the paper is to present conditions of the versality of \(X\) in a neighborhood of the loop. For this, the author uses the representation of the displacement function given by \textit{R. Roussarie} [Bol. Soc. Bras.
openaire   +2 more sources

Bifurcation of homoclinics of Hamiltonian systems [PDF]

Proceedings of the American Mathematical Society, 2008
We obtain sufficient conditions for bifurcation of homoclinic trajectories of nonautonomous Hamiltonian vector fields parametrized by a circle, together with estimates for the number of bifurcation points in terms of the Maslov index of the asymptotic stable and unstable bundles of the linearization at the stationary branch.
openaire   +2 more sources

Delay-induced multistability near a global bifurcation

, 2007
We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node.
E. SCHÖLL, Guckenheimer J., Hu G., J. HIZANIDIS, R. AUST, Scholl E.   +5 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

Global invariant manifolds near a Shilnikov homoclinic bifurcation

, 2014
We consider a three-dimensional vector field with a Shilnikov homoclinic orbit that converges to a saddle-focus equilibrium in both forward and backward time.
Pablo Aguirre, B. Krauskopf, H. Osinga
semanticscholar   +1 more source

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