Results 211 to 220 of about 21,597 (261)

Global Bifurcation on Time Scales

open access: yesJournal of Mathematical Analysis and Applications, 2002
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Bryan Rynne, Fordyce Davidson
exaly   +3 more sources
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Global Bifurcations in a Complementarity Game

SSRN Electronic Journal, 2011
In this paper, we study the global dynamics of a complementarity game with effort cost externalities. Following Matsuyama (Am Econ Rev 92(2):241–246, 2002), we assume that identical players are simultanously engaged in two identical games, where the players’ efforts chosen in each of the games exhibit a strategic complementarity.
Kopel M, LAMANTIA, FABIO GIOVANNI
openaire   +2 more sources

Global Bifurcation of Waves with Multiple Critical Layers [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2020
Analytic global bifurcation theory is used to construct a large variety of families of steady periodic two-dimensional gravity water waves with real-analytic vorticity distributions, propagating in an incompressible fluid. The waves that are constructed can possess an arbitrary number of interior stagnation points in the fluid, and corresponding ...
Kristoffer Varholm
exaly   +5 more sources

Invariant manifolds and global bifurcations

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015
Invariant manifolds are key objects in describing how trajectories partition the phase spaces of a dynamical system. Examples include stable, unstable, and center manifolds of equilibria and periodic orbits, quasiperiodic invariant tori, and slow manifolds of systems with multiple timescales.
John Guckenheimer   +3 more
openaire   +3 more sources

The Global Bifurcation of a Cubic System

Acta Mathematicae Applicatae Sinica, English Series, 2006
The authors show that with proper selection of the parameters and for \(\epsilon > 0\) sufficiently small the close to a Hamiltonian system \[ \dot x = y, \quad \dot y = x(1 - bx - x^2) - \varepsilon y (a_1 + a_2 x + a_3 x^2 + a_4 y^2) \] can be made to exhibit five limit cycles, two nests of two cycles each all surrounded by a large cycle.
Shang, Desheng, Han, Maoan, Sun, Jinping
openaire   +2 more sources

Infinite Period Bifurcation and Global Bifurcation Branches

SIAM Journal on Applied Mathematics, 1981
Branches of periodic solutions which exhibit the alternatives of the global Hopf bifurcation theorem are calculated for two general systems of differential equations.
openaire   +1 more source

GLOBAL BIFURCATIONS OF BASINS IN A TRIOPOLY GAME

International Journal of Bifurcation and Chaos, 2002
A Cournot model based on bounded inverse demand function and constant marginal production costs is studied. The case of three producers is considered and the adjustment process reduces to a three-dimensional noninvertible map in the output of competitors.
Anna Agliari, Laura Gardini, Tönu Puu
openaire   +2 more sources

Local and Global Bifurcations

2001
To introduce some local and global bifurcation theory in the plane. To bifurcate limit cycles in the plane. On completion of this chapter, the reader should be able to bifurcate small-amplitude limit cycles from fine foci; bifurcate limit cycles from a center.
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Global Hopf-bifurcation in a neural netlet

Applied Mathematics and Computation, 1998
It is investigated the global Hopf bifurcation of periodic solutions to the system of two integro-differential equations describing the dynamics of a neural netlet of activation and inhibition with continuously distributed delays. Naturally in the corresponding differential system [\textit{K. Gopalsamy} and \textit{I. Leung}, Physica D 89, No. 3-4, 395-
K. Gopalsamy   +2 more
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