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Feedback Between Climate and Geodynamics Leads to Bistability in Conceptual Models

Görg K, Eberhard J, Feulner G.
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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
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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, Bernd Krauskopf, Hinke M. Osinga, Björn Sandstede   +3 more
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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
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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.
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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
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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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Examples of Global Bifurcation

2016
The main goal of this chapter is to give examples of five different types of global bifurcation. While the local bifurcations of the previous chapter were associated with stability changes in an equilibrium, the bifurcations in this chapter are associated with stability changes in a periodic solution. We make no pretense of completeness.
David G. Schaeffer, John W. Cain
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Explosions: global bifurcations at heteroclinic tangencies

Ergodic Theory and Dynamical Systems, 2002
We investigate bifurcations in the chain recurrent set for a particular class of one-parameter families of diffeomorphisms in the plane. We give necessary and sufficient conditions for a discontinuous change in the chain recurrent set to occur at a point of heteroclinic tangency.
Alligood, K., Sander, E., Yorke, J.
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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, Issic Kui Chiu Leung, Pingzhou Liu   +2 more
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