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Bifurcação de bogdanov-takens em um modelo de sistema elétrico de potência
Get PDFIn this work is studied the Bogdanov-Takens bifurcation in an electric power system
model consisting of a static compensator and two synchronous generators feeding an electric
load compound of a static parcel and a dynamic parcel. Sufficient conditions for the existence
of a generic Bogdanov-Takens bifurcation in the model are given as well as an analysis of
Hopf and saddle-node bifurcations in the context of the Bogdanov-Takens bifurcation.
Numerical simulations show the existence of an operationally insurance region in the
bifurcation diagram and a curve of saddle node points and a curve of Hopf points that are
associates physically to the voltage collapse and the oscillations in the physical variables,
respectively, if certain conditions are satisfied.Neste trabalho é estudada a bifurcação de Bogdanov-Takens em um modelo de sistema
elétrico de potência constituído por um compensador estático e dois geradores síncronos,
alimentando uma carga elétrica composta de uma parcela estática e uma parcela dinâmica.
Condições suficientes para a ocorrência de uma bifurcação de Bogdanov-Takens genérica no
modelo são apresentadas, bem como uma análise das bifurcações de Hopf e sela-nó no
contexto desta bifurcação. Simulações numéricas mostram a existência de uma região
operacionalmente segura no diagrama de bifurcação e de uma curva de pontos de sela-nó e
uma curva de pontos de Hopf que estão associadas, fisicamente, ao colapso de tensão e a
oscilações nas grandezas físicas, respectivamente, se certas condições são satisfeitas
Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point
Get PDFBeyn W-J. Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point. IMA Journal of Numerical Analysis. 1994;14(3):381-410.It is known that branches of homoclinic orbits emanate from a singular point of a dynamical system with a double zero eigenvalue (Takens-Bogdanov point). We develop a robust numerical method for starting the computation of homoclinic branches near such a point. It is shown that this starting procedure relates to branch switching. In particular, for a certain transformed problem the homoclinic predictor is guaranteed to converge to the true orbit under a Newton iteration
A Study of the Bogdanov-Takens Bifurcation
No full textA two paraIlleter versal tmfolding for generic nilpotent singular point was studied independently by Takens and Bogdanov and so one now calls it : the Bogdanov-Takens bifurcation. Historically, it was the last codiInension 2 singularity to be treated
Bogdanov et son oeuvre
No full textYassour Avraham. Bogdanov et son oeuvre. In: Cahiers du monde russe et soviétique, vol. 10, n°3-4, Juillet-Décembre 1969. pp. 546-584
Transfusion sanguine et immortalité chez Alexandr Bogdanov
No full textAlexandr Bogdanov on Blood Transfusion and Immortality.
Alexandr Bogdanov (1873-1928) was a prominent Bolshevik leader and ideologue, as well as a medical doctor and the founder of the first institute for blood transfusion in the world (Moscow, 1926). For him, blood transfusion was an application of the organisational principles he had discovered under the name of « tektological laws ». Blood transfusion was to be considered in therapy but the main idea was to promote « physiological collectivism » and to lengthen human life through blood transfusions between the young and the old. As a consequence of this quest for immortality — which was a common concern among « God's builders » (a group of Bolsheviks close to Bogdanov) —, Lenin's body was frozen so as to be resurrected in the future by scientific methods.Alexandr Bogdanov (1873-1928), dirigeant et idéologue bolchevik de première importance, fut aussi un médecin et le fondateur de l'Institut central de transfusion sanguine de l'Union Soviétique (Moscou, 1926), premier institut de ce type au monde. La transfusion sanguine était pour Bogdanov une application de lois organisationnelles (« tektologiques ») « d'égalisation des extrêmes et de complétion des manques ». Au delà des objectifs thérapeutiques communément admis, le but de Bogdanov était de promouvoir un « collectivisme physiologique » et de prolonger la vie humaine par des transfusions réjuvénatrices entre jeunes et vieux. La conservation du cadavre de Lénine, dans la perspective d'une résurrection grâce aux connaissances scientifiques futures, est en rapport direct avec les préoccupations relatives à l'immortalité de certains bolcheviks de la première génération.Tartarin Robert. Transfusion sanguine et immortalité chez Alexandr Bogdanov. In: Droit et société, n°28, 1994. Le sang : les veines du social. pp. 565-581
Unique Normal Form of Bogdanov–Takens Singularities
No full textAbstractIn this note the method introduced by Kokubu, Oka, and Wang is improved and the unsolved problem in a paper of Baider and Sanders for the unique normal form of Bogdanov–Takens singularities is solved under a very general condition
Controllability near a Takens-Bogdanov-bifurcation
No full textControllability near a Takens-Bogdanov-bifurcation. - In: Systems and networks. - Berlin : Akad.-Verl. - Vol. 2. (1994). - S. 193-196. - (Mathematical research ; 79
Art and the Working Class
Get PDFAppearing for the first time in English, Art and the Working Class is the work of Alexander Bogdanov, a revolutionary polymath and co-founder, with Vladimir Lenin, of the Bolshevik faction of the Russian Social Democratic Labor Party. Bogdanov was a strong proponent of the arts, co-founding the Proletarian Culture (Proletkult) organization to provide political and artistic education to workers
Remarks on homoclinic structure in Bogdanov-Takens map
Get PDFIt is known that in the Bogdanov–Takens map there exists a zone of transversal homoclinic intersections bounded by two curves of homoclinic tangencies. In this paper, we derive an improved asymptotic formula for the homoclinic parameter values of the BT map. We compare two methods to approximate the Bogdanov–Takens map by the time-1 flow of a vector-field, and find that they are equivalent. We show that it is essential to include the second-order terms w.r.t. the parameters to obtain a more accurate asymptotic for the homoclinic zone. We show how to use this new homoclinic asymptotic to compute branches of homoclinic tangencies in the BT map numerically, obtaining the whole homoclinic structure of the Bogdanov–Takens map
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