Results 231 to 240 of about 52,502 (264)
Some of the next articles are maybe not open access.
Lie-point symmetries in bifurcation problems
1992The authors develop a theory of bifurcations of differential equations with Lie point symmetries. Viewing the differential equation as an ``algebraic equation'' on some jet bundle is the key of the analysis. The authors show how the well-known results of equivariant bifurcation theory can be formulated in this context and how the results carry over ...
CICOGNA, GIAMPAOLO, Gaeta G.
openaire +2 more sources
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.
openaire +2 more sources
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.
openaire +1 more source
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 ...
openaire +1 more source
Bifurcation point detection with parallel nested layer particle swarm optimization
Nonlinear Theory and Its Applications IEICE, 2022Takuji Kousaka +2 more
exaly
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 ...
openaire +1 more source
On numerical studies of multi-point boundary value problem and its fold bifurcation
Applied Mathematics and Computation, 2007Yongkui Zou
exaly