The Emergence of Bull and Bear Dynamics in a Nonlinear Model of Interacting Markets
Discrete Dynamics in Nature and Society, Volume 2009, Issue 1, 2009., 2009 We develop a three‐dimensional nonlinear dynamic model in which the stock markets of two countries are linked through the foreign exchange market. Connections are due to the trading activity of heterogeneous speculators. Using analytical and numerical tools, we seek to explore how the coupling of the markets may affect the emergence of bull and bear ...
Fabio Tramontana +4 more
wiley +1 more source
MicroRNA inhibition fine-tunes and provides robustness to the restriction point switch of the cell cycle. [PDF]
Sci Rep, 2016 Del Rosario RC, Damasco JR, Aguda BD.
europepmc +1 more source
Exploring the geometry of the bifurcation sets in parameter space. [PDF]
Sci RepBarrio R, Ibáñez S, Pérez L.
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CODIMENSION 3 BIFURCATIONS OF HOMOCLINIC ORBITS WITH ORBIT FLIPS AND INCLINATION FLIPS
Chinese Annals of Mathematics Series B, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deming Zhu
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On inclination-flip homoclinic orbit associated to a saddle-node singularity
Sociedade Brasileira De Matematica Boletim, Nova Serie, 1996The author studies the bifurcation of vector fields through a saddle-node equilibrium point with an unstable homoclinic orbit. The study is made in the setting of two parameters perturbations of the vector fields \((X_{\mu})_{\mu\in\mathbb{R}^2}\) and in the case that \(X_{(0,0)}\) exhibits an inclination-flip homoclinic orbit associated to the ...
Morales C A, C A Morales
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Inclination-flip homoclinic orbits arising from orbit-flip
Nonlinearity, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M J Pacifico, C A Morales
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The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
Ergodic Theory and Dynamical Systems, 1994AbstractDeng has demonstrated a mechanism through which a perturbation of a vector field having an inclination-flip homoclinic orbit would have a Smale horseshoe. In this article we prove that if the eigenvalues of the saddle to which the homoclinic orbit is asymptotic satisfy the condition 2λu > min{−λs, λuu} then there are arbitrarily small ...
HOMBURG, AJ, KOKUBU, H, KRUPA, M
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Strange attractor in the unfolding of an inclination-flip homoclinic orbit
Ergodic Theory and Dynamical Systems, 1996AbstractWe study the unfolding of a smooth vector-fieldXon ℝ3having a homoclinic orbit to a hyperbolic equilibrium point with three real eigenvalues satisfying − λss< λs< 0 < λuWe say that Γ is an inclination-flip homoclinic orbit if the extended unstable manifold at the equilibrium point is, along Γ, non-transverse to the stable manifold and ...
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Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips
Science in China Series A, 2005Homoclinic bifurcations in four-dimensional vector fields are investigated by setting up a local coordinate near a homoclinic orbit. This homoclinic orbit is principal but its stable and unstable foliations take inclination flip. The existence, nonexistence, and uniqueness of the 1-homoclinic orbit and 1-periodic orbit are studied. The existence of the
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Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip
Nonlinear Dynamics, 2009Yancong Xu, Zhu Deming, Deming Zhu
exaly