Hopf bifurcation
Delayed Feedback Control of Bao Chaotic System Based on Hopf Bifurcation Analysis
... In 2008, a new system was introduced which could be displayed one-scroll and double-scroll chaotic attractors with only two equilibrium points and can be found to be robust chaotic in a very wide parameter domain [11]. ...
5
The Hopf Bifurcation and Its Applications
... example, the bottom of the hoop is an attracting fixed point.. for w < W*[r] ...
424
Characterization of K-complexes and slow wave activity in a neural mass model.
... Video S1 Visualization of the sleep-wake transition. This video illustrates the change of the evoked response to perturbations, as the model follows the proposed sleep-wake transition depicted in Figure 2. Close to the ...
10
Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor
... unstable and a stable limit cycle appears from a Hopf bifurcation, so there are two limit cycles encircling the equilibrium; for parameters at M 6 the equilibrium is unstable and the two[r] ...
27
Network Events on Multiple Space and Time Scales in Cultured Neural Networks and in a Stochastic Rate Model.
... a Hopf bifurcation for the firing rate dynamics; on the other hand, the occurrence of NS and, presumably, avalanches, does not necessarily require this condition: for instance, NS can occur in the proximity ...
23
Comput. Appl. Math. vol.26 número1
... From the mathematical point of view, the oscillatory, small amplitude, behavior in the WGS can be associated to a periodic orbit that appears from a Hopf bifurcation. This was established by Hassard et al. ...
26
Analysis of the Rosenzweig-MacArthur model with bifurcation structures and stochastic processes
... the Hopf bi- furcation becomes a limit cycle and the Hopf limit cycle on the other hand becomes a torus, hence the Hopf bifurcation becomes a torus bifurcation, and via torus ...
54
Bifurcação de Andronov-Hopf em um modelo de Liénard para as pregas vocais
... Andronov-Hopf bifurcation for the bidimensional case, about the generation of a limit cycle when a system’s parameter is ...Andronov-Hopf bifurcation, which can assume supercritical and ...
7
Transient resetting: a novel mechanism for synchrony and its biological examples.
... the bifurcation is not necessarily required to be a supercritical Hopf ...subcritical Hopf bifurcation with coexistence of a stable limit cycle and a stable equilibrium state between the ...
7
Bifurcação de Hopf em um modelo para a dinâmica do vírus varicela-zoster
... a Hopf bifurcation. Mirrored in article Bifurcation analysis of model for the biological control of Sotomayor et ...the Hopf analysis of the conditions of non-degeneracy and transversality, we ...
110
Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage Stimulation
... When the neuronal cells “ImK” and “RaLa” are uncoupled and stimulated by a low value DC signal, they create an action potential waveform, which converges to a fixed point, as we can see in Figs.8 and 9. As the value of ...
11
BIFURCATION ANALYSIS OF EQUILIBRIUM POINT IN TWO NODE POWER SYSTEM
... Perez-Londoo, S., G. Olivar and J. Mora-Florez, 2010. Zero-Hopf bifurcation analysis on power system dynamic stability. Proceedings of the IEEE/PES Transmission and Distribution Conference and Exposition: ...
7
On the Dynamics of a General Predator-Prey System
... d β β β=β ≠ , then by Hopf bifurcation Theorem (Hassard et al., 1981), we have small amplitude periodic solution at β = β *∗ . Therefore the two interacting populations oscillate around the unique ...
7
NARRATIVE BIFURCATION, CLOUD COMPUTING INTERFACES AND HITCHCOCK
... Theoretically, the problem is addressed in Umberto Eco's Opera Aberta (1979) – where the ending, corresponding to a total absence of viable alternatives, or alternatives with equal weight, are (supposedly) left to the ...
5
Symmetry restoring bifurcation in collective decision-making.
... This stabilisation coincides with the appearance of two non- homogeneous (asymmetric) unstable solutions, characteristic of a subcritical pitchfork bifurcation. Here we have tristability such that, depending on ...
11
O teorema de Lefschetz-Hopf e sua relação com outros teoremas clássicos da topologia
... Tais m´etodos topol´ogicos s˜ao divididos, a grosso modo, em dois tipos. O primeiro deles inclui resultados tais como o Princ´ıpio da Contra¸c˜ao de Banach (em An´alise Funcional), no qual as hip´oteses no espa¸co podem ...
107
Geometric theory predicts bifurcations in minimal wiring cost trees in biology are flat.
... dendritic bifurcation angles between any of the 3 branches in a bifurcation tend to be close to 120u, as must be the case for minimal Euclidean Steiner ...
7
Destroying horseshoes via heterodimensional cycles: Generating bifurcations inside homoclinic classes
... As we said before, a relevant point in bifurcations via tangencies or heterodimensional cycles is whether or not the non-transverse orbits responsible for them are limit points. In the bifurcations considered in this ...
43
Correspondência do tipo Galois para ações de álgebras de Hopf em álgebras primas
... A Galois-type correspondence theorem for prime algebras acted upon by a finite dimensional pointed Hopf algebra is proved. The correspondence involves rationally complete subalgebras and comodule subalgebras. The ...
130
Bifurcation analysis of a paradigmatic model of monsoon prediction
... years bifurcation analysis has proven to be an important tool for mathematical analysis and better under- standing of the internal dynamics and physics of low order ocean atmospheric ...
9