Bifurcation from a normally degenerate manifold [PDF]
, 2010 Local bifurcation theory typically deals with the response of a degenerate but isolated equilibrium state or periodic orbit of a dynamical system to perturbations controlled by one or more independent parameters, and characteristically uses tools from ...
Chillingworth, D. R. J. +2 more
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Quantum entanglement and fixed-point bifurcations [PDF]
Physical Review A, 2005 v2: Structure of the paper changed for clarity, reduced length, now 9 pages with 6 ...
Hines, A. P. +2 more
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Critical points and symmetries of a free energy function for biaxial nematic liquid crystals [PDF]
, 2015 We describe a general mean field model for the free energy function for a homogeneous medium of mutually interacting molecules, based on the formalism for a biaxial nematic liquid crystal set out by Katriel et al (1986) in an influential paper in Liquid ...
Chillingworth, David +2 more
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Hegemony and Bifurcation Points in World History
Journal of World-Systems Research, 1995 Examination of the rise and fall of hegemons over the last 500 years reveals that each lasts about 100 years, with another 100 year period between hegemons that is characterized by rough balance among shifting powers frequent major wars.
Terry Boswell
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Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
Alexandria Engineering Journal, 2022 In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 more
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Trans-heteroclinic bifurcation: a novel type of catastrophic shift [PDF]
Royal Society Open Science, 2018 Global and local bifurcations are extremely important since they govern the transitions between different qualitative regimes in dynamical systems. These transitions or tipping points, which are ubiquitous in nature, can be smooth or catastrophic. Smooth
Josep Sardanyés +2 more
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A bifurcation study to guide the design of a landing gear with a combined uplock/downlock mechanism [PDF]
, 2014 This paper discusses the insights that a bifurcation analysis can provide when designing mechanisms. A model, in the form of a set of coupled steady-state equations, can be derived to describe the mechanism.
Lowenberg, Mark H +7 more
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Bifurcation Analysis in a Discrete-Time Prey-Predator System With Crowly- Martin Functional Response
Tikrit Journal of Pure Science, 2023 In this paper, a discrete time prey-predator system with Crowly- Martin functional response was studied. The fixed points of the model are obtained, and their stability is analyzed. Further existence of bifurcation analysis at each fixed points and Hopf
Jaza Omer Muhammed, Kawa Ahmed Hassan
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Analysis of stationary points and their bifurcations in the ABC -flow [PDF]
Applied Mathematics and Computation, 2018 Analytical expressions for coordinates of stationary points and conditions for their existence in the ABC flow are received. The type of the stationary points is shown analytically to be saddle-node. Exact expressions for eigenvalues and eigenvectors of the stability matrix are given.
A. A. Didov, M. Yu. Uleysky
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Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]
, 1972 The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
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