1,361,783 research outputs found

    Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point

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    Beyn 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

    As the Snake Sheds its Skin: The Revolutionary Art and Science of Alexander Bogdanov

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    This dissertation presents the life and work of Alexander Bogdanov, a revolutionary public intellectual in Russia at the turn of the twentieth century. I begin with Bogdanov���s living experience, situating his theoretical interventions in the political and intellectual context of his time. Then I introduce Bogdanov���s unique Marxist approach to systems science, or ���tektology,��� which Bogdanov thought of as a new ���organizational point of view��� that would synthesize all historical knowledge and create theoretical tools for revolutionary transformation of human social systems. In particular, I look at how Bogdanov applied systems science to questions of communication and culture, including his labor theory of speech, his structural-analogical model of base and superstructure correlations, and his grand narrative of progressive development from authoritarianism through anarchy and into socialism. Lastly, I offer a close reading of Bogdanov���s lesser-known science fiction novel Engineer Menni, which Bogdanov presented as an analogy to the situation faced by socialists in the epoch of monopoly capitalism, and which offers insights into the characteristics of Bogdanov���s distinctive cultural and political theory of social change

    Bifurcação de bogdanov-takens em um modelo de sistema elétrico de potência

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    In 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

    A Study of the Bogdanov-Takens Bifurcation

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    A 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

    On the Takens-Bogdanov Bifurcation in the Chua’s Equation

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    The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua’s equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation sets, where the presence of several dynamical behaviours (including periodic, homoclinic and heteroclinic orbits) is predicted. The local results are used as a guide to apply the adequate numerical methods to obtain a global understanding of the bifurcation sets. The study of the normal form of the Takens-Bogdanov bifurcation shows the presence of a degenerate (codimension-three) situation, which is analyzed in both homoclinic and heteroclinic cases

    Controllability near a Takens-Bogdanov-bifurcation

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    Controllability near a Takens-Bogdanov-bifurcation. - In: Systems and networks. - Berlin : Akad.-Verl. - Vol. 2. (1994). - S. 193-196. - (Mathematical research ; 79

    Iz-za čego vojna i čemu ona učit?

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    Bogdanov N. N. “Crimean Territorial Government” [1919]

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    Bogdanov N. N. “Crimean Territorial Government” [1919]. A publication by A. S. PuchenkovИсследование подготовлено при поддержке президентского гранта по государственной поддержке научных исследований молодых российских ученых — докторов наук № МД-5771.2018.6 «Духовный форпост России в эпоху войн и революций: православное духовенство Крыма в 1914–1920 гг.»

    Bifurcation Analysis of Bogdanov-Takens Bifurcations in Delay Differential Equations

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    In this paper, we will perform the parameter-dependent center manifold reduction near the generic and transcritical codimension two Bogdanov-Takens bifurcation in classical delay differential equations. Using an approximation to the homoclinic solutions derived with a generalized Lindstedt-Poincar\'e method, we develop a method to initialize the continuation of the homoclinic bifurcation curves emanating from these points. The normal form transformation is derived in the functional analytic perturbation framework for dual semigroups (sun-star calculus) using a normalization technique based on the Fredholm alternative. The obtained expressions give explicit formulas, which have been implemented in the freely available bifurcation software package DDE-BifTool.</p

    Transfusion sanguine et immortalité chez Alexandr Bogdanov

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    Alexandr 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
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