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The homoclinic twist bifurcation point
1992We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two parameter family of Z 2 equivariant ODE’s in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.
Aronson, D.G., van Gils, S.A., Krupa, M.
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A Postprocessing of Hopf Bifurcation Points
2004The aim is to initialize a branch of periodic orbits emanating from a Hopf bifurcation point. The second-order predictor of the branch is developed. The problem is discussed in the context of the MATLAB toolbox CL_MATCONT.
Dáša Janovská, Vladimír Janovský
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Bifurcations of periodic points
1979This thesis was prepared at the Rijksuniversiteit Groningen during the years 1974 - 1979. In it we consider the behaviour of periodic points in r-parameter families of diffeomorphisms. A more precise formulation may be found in chapter I (the introduction). There also the content of the various chapters is described.
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Humankind and the World at the Point of Bifurcation
Russian Journal of Philosophical SciencesThe article examines the developmental prospects of civilization from the perspective of self-organization theory and synergetics, which are becoming foundational for understanding the processes of the 21st century. The author argues that the contemporary world is at a bifurcation point, characterized by a loss of stability in its previous ...
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Detecting and Computing Bifurcation Points
2000Exploring nonlinear phenomena has become a major challenge in physics, chemistry, biology, engineering, medicine and social science. We consider nonlinear problems of the form $$\frac{{\partial u}}{{\partial t}} = G(u,\lambda ) $$ (3.1) where G : X x R p → Y is a “smooth” mapping and λ ∈ R p represents various control parameters, e.g ...
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Derivation of Local Bifurcation Points in Autonomous Systems by Using Particle Swarm Optimization
Transactions of the Institute of Systems Control and Information Engineers, 2023Hiroaki Kurokawa +2 more
exaly
Golden points and bifurcation points as red light
Systems Analysis in Economics - 2020: Proceedings of the 6th International Research and Practice Conference-Biennale (09-11 December 2020), 2021openaire +1 more source