Results 101 to 110 of about 747,954 (250)
The computation of disconnected bifurcation diagrams
, 2016 Arclength continuation and branch switching are enormously successful algorithms for the computation of bifurcation diagrams. Nevertheless, their combination suffers from three significant disadvantages. The first is that they attempt to compute only the part of the diagram that is continuously connected to the initial data; disconnected branches are ...
Farrell, Patrick E. +2 more
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Clustering, Chaos and Crisis in a Bailout Embedding Map
, 2007 We study the dynamics of inertial particles in two dimensional incompressible flows. The particle dynamics is modelled by four dimensional dissipative bailout embedding maps of the base flow which is represented by 2-d area preserving maps.
B. V. Chirikov +2 more
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Verification of bifurcation diagrams for polynomial-like equations
Journal of Computational and Applied Mathematics, 2008 AbstractThe results of our recent paper [P. Korman, Y. Li, T. Ouyang, Computing the location and the direction of bifurcation, Math. Res. Lett. 12 (2005) 933–944] appear to be sufficient to justify computer-generated bifurcation diagram for any autonomous two-point Dirichlet problem. Here we apply our results to polynomial-like nonlinearities.
Korman, Philip +2 more
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Stability and Decay Rates of Non-Isotropic Attractive Bose-Einstein Condensates
, 2003 Non-Isotropic Attractive Bose-Einstein condensates are investigated with Newton and inverse Arnoldi methods. The stationary solutions of the Gross-Pitaevskii equation and their linear stability are computed.
A. Gammal +32 more
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, 2013 A greatly extended version can be found in arXiv:1607.07333 and arXiv:1704 ...
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Bifurcation diagram of a complex delay-differential equation with cubic nonlinearity.
Physical review. E, Statistical, nonlinear, and soft matter physics, 2003 We reduce the Lang-Kobayashi equations for a semiconductor laser with external optical feedback to a single complex delay-differential equation in the long delay-time limit.
D. Pieroux, P. Mandel
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Bifurcation diagram for saddle/source bimodal linear dynamical systems [PDF]
, 2016 We continue the study of the structural stability and the bifurcations of planar bimodal linear dynamical systems (BLDS) (that is, systems consisting of two linear dynamics acting on each side of a straight line, assuming continuity along the separating ...
Ferrer Llop, Josep +2 more
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Bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation
Electronic Journal of Differential Equations, 2017 In this article, we study the bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation under Dirichlet boundary conditions. We investigate the shape of the bifurcation diagram and prove that there exist five different types of
Ryuji Kajikiya +2 more
doaj
Adaptation Shapes Local Cortical Reactivity: From Bifurcation Diagram and Simulations to Human Physiological and Pathological Responses. [PDF]
eNeuro, 2023 Cattani A +5 more
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The Bifurcation Diagram of a Piecewise Composite Function
DEStech Transactions on Computer Science and Engineering, 2017 Bifurcation is a common and significant phenomenon in Nonlinear Science. The bifurcation diagram of a piecewise function which consists of a wavelet and a sine function is discussed in the paper. The diagram shows that one period of some areas evolve directly into three, five, seven, odd periods.
Xiang-xiang Wang, Wan-bo Yu, Yu Huang
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