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Pattern selection at the bifurcation point
The Journal of Chemical Physics, 1980The bifurcation analysis of inhomogeneous solutions to nonlinear reaction–diffusion equations in the infinite plane is carried out without imposing any a priori symmetry properties. A continuum of solutions bifurcating at the infinitely degenerate eigenvalue is constructed and these solutions are consequently sorted out by the stability analysis.
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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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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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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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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2021
Makrina Agaoglou +2 more
exaly
Makrina Agaoglou +2 more
exaly
Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations
SIAM Journal on Applied Dynamical Systems, 2020Paul O'Keeffe, Sebastian Wieczorek
exaly

