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Global Bifurcation on Time Scales
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Bryan Rynne, Fordyce Davidson
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Global Bifurcations in a Complementarity Game
SSRN Electronic Journal, 2011In 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
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Global Bifurcation of Waves with Multiple Critical Layers [PDF]
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
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Invariant manifolds and global bifurcations
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015Invariant 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
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The Global Bifurcation of a Cubic System
Acta Mathematicae Applicatae Sinica, English Series, 2006The 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
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Infinite Period Bifurcation and Global Bifurcation Branches
SIAM Journal on Applied Mathematics, 1981Branches of periodic solutions which exhibit the alternatives of the global Hopf bifurcation theorem are calculated for two general systems of differential equations.
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GLOBAL BIFURCATIONS OF BASINS IN A TRIOPOLY GAME
International Journal of Bifurcation and Chaos, 2002A 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
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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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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, 1998It 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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