Results 111 to 120 of about 62,585 (218)

Detection of tertiary Hopf bifurcations arising from mode interactions

, 1997
In the unfolding of a mode interaction, in addition to the primary bifurcations, there are also secondary bifurcations which occur on the primary branches giving rise to mixed mode solutions.
Aston, P. J., Amdjadi, F.
core   +1 more source

EQUIVALENCE OF DEGENERATE HOPF BIFURCATIONS

We prove the equivalence of degenerate Hopf bifurcations which have all their closed orbits at the bifurcation point. Although these Hopf bifurcations have infinity codimension, they can nevertheless occur generically in dynamical systems under ...

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Existence of Bifurcation in Macroeconomic Dynamics: Grandmont was Right [PDF]

Grandmont (1985) found that the parameter space of the most classical dynamic general-equilibrium macroeconomic models are stratified into an infinite number of subsets supporting an infinite number of different kinds of dynamics, from monotonic ...
Yijun He, William Barnett
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The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability. [PDF]

J Math Neurosci, 2019
Pérez-Cervera A, Ashwin P, Huguet G, M Seara T, Rankin J.   +4 more
europepmc   +1 more source

Numerical analysis of dynamical systems with codimension two singularities [PDF]

, 2009
Páez Chávez JN. Numerical analysis of dynamical systems with codimension two singularities.
Páez Chávez, Joseph Nikolai
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Hopf bifurcations of twisted states in phase oscillators rings with nonpairwise higher-order interactions

Journal of Physics: Complexity
Synchronization is an essential collective phenomenon in networks of interacting oscillators. Twisted states are rotating wave solutions in ring networks where the oscillator phases wrap around the circle in a linear fashion.
Christian Bick, Tobias Böhle, Oleh E Omel’chenko   +2 more
doaj   +1 more source

Existence of Singularity Bifurcation in an Euler-Equations Model of the United States Economy: Grandmont was Right [PDF]

: Grandmont (1985) found that the parameter space of the most classical dynamic general-equilibrium macroeconomic models are stratified into an infinite number of subsets supporting an infinite number of different kinds of dynamics, from monotonic ...
He, Susan, Barnett, William A.
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Bifurcations

, 2013
Comprendre les parcours biographiques d'entrée dans la vie adulte en termes de ruptures plutôt qu'en termes de continuité : l'analyse et la mesure des bifurcations dans les parcours de vie.
Cathel Kornig
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Global search metaheuristics for neural mass model calibration. [PDF]

Imaging Neurosci (Camb)
Dunstan DM, Richardson MP, Fieldsend JE, Goodfellow M.   +3 more
europepmc   +2 more sources

Hopf Bifurcations in Resonance 2:1

, 2007
In this paper Hopf bifurcations for equations of control theory are studied in 2 : 1 resonance case. The harmonic linearization approach and topological methods allow to give the sharp analysis of the problem for the case of quadratic principal ...
Dmitrii I. Rachinskii, Alexander M. Krasnosel'skii, Klaus Schneider   +2 more
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