Hopf bifurcation
Li–Yorke chaos in nonautonomous Hopf bifurcation patterns I
... nonautonomous Hopf bifurcation with zero spectrum due to the analogies of this structure with classical autonomous Hopf bifurcation ...for Hopf bifurcation y 0 = A ε y − |y| 2 y ...
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Bifurcation theory applied to the analysis of power systems
... parameter bifurcation analysis, saddle-node and Hopf bifurcations of equilibria are the mechanisms by means an operating point can disappear or become unstable, ...the Hopf bifurcation under- ...
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Hopf and zip bifurcation in a specific (n+1) dimensional competitive system
... of system (14) is globally asymptotically stable inside the positive quadrant. Moreover, for λ < K < a + 2λ , (14) does not have closed orbits inside the positive quadrant . Finally, at K = a+2λ the system ...
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Local Nonlinear Stability of the Steady State in an Isothermal Catalyst
... ivb Iva III(. Hopf bifurcation for Model 2.. Response curves for Model 2. Asymptotically stable steady states. +1-fI-I-f Unstable steady states. a00-0 Orbitally asymptotically sta[r] ...
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Dynamics of counterpropagating waves in parametrically forced systems
... By ¡x, = 6.0 this solution has likely undergone a Hopf bifurcation to what appears to be a quasiperiodic state (Fig. This quasiperiodic state lacks both the spatial reflection symmetry[r] ...
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Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection
... For higher valúes of the forcing these solutions become oscillatory through a Hopf bifurcation and then chaotic after a sequence of period doublings but still without dispersive scales [r] ...
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Dynamics of weakly coupled parametrically forced oscillators
... Detailed bifurcation sets, revealing a complex series of transitions organized in part by Bogdanov-Takens points, are calculated for representative sets of ...initial Hopf bifurcation and the ...
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Examples of inner linear Hopf algebras
... unitary Hopf algebra must be inner ...unitary Hopf ∗-algebra is inner ...compact Hopf algebras, i.e. Hopf ∗-algebras arising from compact quantum groups, the class of Hopf ∗-algebras we ...
12
Representations of finite dimensional pointed Hopf algebras over S3
... tively. We showed in [GG] that this holds for every n, by different methods. We started by defining generic families of pointed Hopf algebras associated to certain data, which includes a finite non-abelian group ...
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Nearly inviscid Faraday waves in containers with broken symmetry
... Since the drift along the branch of periodic solutions of the fast system now terminates at a saddle-node bifurcation the trajectory drifts past the saddle-node bifurcation and approach[r] ...
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Pressure Bifurcation Phenomenon on Supersonic Blowing Trailing Edges
... Since the study aimed to understand the different flow features present in the flow and, in particular, the nature of the non-symmetry behavior, a global stability analysis over the steady symmetric base flow was ...
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Análisis paramétrico de la bifurcación de Hopf en sistemas tipo Lorenz
... Cada uno de los tres sistemas a tratar, cuenta con tres par´ametros. Lo que se hace en este trabajo, y en forma similar en cada uno de los tres sistemas, es lo siguiente: iremos cambiando la funci´on de los par´ametros ...
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Algebras de Hopf punteadas sobre grupos no abelianos /
... Los grupos cuánticos, introducidos en 1986 por Drinfeld en su Conferencia [Dr], forman una clase particular de álgebras de Hopf. Los mismos pueden ser presentados a partir de deformaciones en un parámetro de ...
158
Poisson Hopf algebra deformations of Lie Hamilton systems
... any Hopf algebra defor- mation of any Lie–Hamilton system. Remarkably, a Hopf algebra deformation transforms a Lie–Hamilton system, whose dynamic is governed by a finite-dimensional Lie algebra of ...
25
Análisis de la bifurcación de hopf presentada en un sistema de energía distribuido DC
... bifurcaciones Hopf en los sistemas son un preaviso para indicar que el sistema puede llegar a colapso de tensión, las bifurcaciones Hopf no conducen a ningún cambio en el número de puntos de equilibrio ese ...
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Generalization of the ZIP bifurcation points in an predator prey model
... In this article is show a class original of dynamic system of algebraic exponential type that models to the competition between 2 species of predator by a singular prey that regenerates which is a generalization of the ...
6
A bifurcation analysis of high-temperature ignition of H2-O2 diffusion flames
... II causes the valué of y to increase, which corre- sponds to an increment of the characteristic chemical time of radical production. Therefore, the lower the temperature is, the lower [r] ...
9
On the notion of a ribbon quasi Hopf algebra
... However, in the case of ribbon Hopf algebras, one of the four axioms is actually a consequence of the remaining axioms. Therefore D. Bulacu, F. Panaite, and F. van Oystaeyen proposed a different definition of a ...
16
Algebras de Hopf punteadas sobre los grupos simétricos S3 y S4 /
... de Hopf se remiten a la d´ ecada del ’50, en donde son mencionadas en trabajos de Pierre Cartier (1956) y Armand Borel ...de Hopf (alg` ebre de Hopf), para referirse a un ´ algebra con una estructura ...
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Hopf Galois objects and cogroupoids
... These notes are mostly a compilation or reformulation of well-known results. One of the only new results is the construction (Proposition 2.26) of a weak Hopf algebra from a cogroupoid (hence from a ...
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