Results 111 to 120 of about 5,207 (226)
A note on the calculation of paths of Hopf bifurcations
, 1989 This paper is concerned with the analysis of a two parameter nonlinear problem whose linearisation has a double zero eigenvalue with only one eigenvector.
Jepson, A.D., Cliffe, K.A., Spence, A.
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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 +2 more
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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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Bifurcation Analysis for an OSN Model with Two Delays
MathematicsIn this research, we introduce and analyze a mathematical model for online social networks, incorporating two distinct delays. These delays represent the time it takes for active users within the network to begin disengaging, either with or without ...
Liancheng Wang, Min Wang
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On Hopf bifurcations of piecewise planar Hamiltonian systems
, 2011 In this paper we study the number of limit cycles appearing in Hopf bifurcations of piecewise planar Hamiltonian systems. For the case that the Hamiltonian function is a piecewise polynomials of a general form we obtain lower and upper bounds of the ...
Han, Maoan +5 more
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Applications of dynamical systems with symmetry [PDF]
This thesis examines the application of symmetric dynamical systems theory to two areas in applied mathematics: weakly coupled oscillators with symmetry, and bifurcations in flame front equations.
Ashwin, Peter Brian
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Hopf bifurcations in predator-prey systems with social predator behaviour
, 1997 This paper is devoted to the existence of Hopf bifurcations in predator–prey systems under the assumption that the predators show social behaviour.
Pacheco Castelao, José Miguel +2 more
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Control Hopf Bifurcations Based on Center Manifold
, 2011 The stabilization problem of nonlinear systems with Hopf bifurcations is studied in this paper. The link between a feedback law and a center manifold is obtained.
Xiu Shan Cai, Yun Shi Xiao, Geng Jun Zhu
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Journal of Physics: ComplexitySynchronization 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 +2 more
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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 +4 more
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