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Titlebook: Bifurcation and Chaos: Analysis, Algorithms, Applications; R. Seydel,F. W. Schneider,H. Troger Book 1991 Springer Basel AG 1991 Eigenvalue

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楼主: mountebank
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On the Primary and Secondary Bifurcation of Equations Involving Scalar Nonlinearities,It is well-known that many problems of quantum mechanics and chemical physics etc. can be described by eigenvalue equations involving scalar nonlinearities of the form
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Envelope Soliton Chaos Model for Mechanical System,The paper considers the possibility of purely spatial chaos of envelope soliton localization in long elastic strings. Typical similarities and differencies between strange chaotic attractors in deterministic systems and random behaviour are also discussed.
发表于 2025-3-25 17:27:41 | 显示全部楼层
Rolling Motion of Ships Treated as Bifurcation Problem,The behavior of a vessel slowly turning in waves is studied as a nonlinear bifurcation problem making use of the bifurcation package BIFPACK ([9]). For two different shipmodels the oscillations of the ship are studied. Both external and parametric excitation effects resulting from the wave motion are considered.
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Intervention Without Intervening?ion analysis the two-dimensional Laplacian with Neumann boundary conditions on the unit square. We show that at a corank . bifurcation point, there are exactly (3.−1)/2 different solution branches bifurcating front the trivial solution curve. Our results are easily extended to other boundary conditi
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Intervention Without Intervening?lator model under CSTR boundary conditions. This system contains a cubic autocatalysis and shows a strong amplification of noise which is imposed on the variables of the model at discrete time intervals (“shot noise”). We show that the location of the secondary periodic bifurcation between large and
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https://doi.org/10.1007/978-1-349-11913-4can also be observed as highly regular bands with well defined wavelength. Satellite pictures sometimes reveal regular hexagonal cells of mesoscale convection with diameters up to one hundred km, while most of the other large scale cloud structures can be characterized only by their fractal dimensio
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