In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary...
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Poincaré sphere Poincaré–Einstein synchronisation Poincaré–Lelong equation Poincaré–Lindstedt method Poincaré–Lindstedt perturbation theory Poincaré–Steklov...
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Poincaré–Lindstedt method Poincaré line bundle Poincaré map Poincaré metric Poincaré–Miranda theorem Poincaré–Neumann operator Poincaré plot Poincaré...
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Singular perturbation (section Methods of analysis)
problems, and in time, the Poincaré–Lindstedt method, the method of multiple scales and periodic averaging. The numerical methods for solving singular perturbation...
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Poincaré and the Three-Body Problem is a monograph in the history of mathematics on the work of Henri Poincaré on the three-body problem in celestial mechanics...
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fail. This was later developed by Henri Poincaré and is known today as the Lindstedt–Poincaré method. Lindstedt returned to Sweden in 1886 to take a post...
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Hopf bifurcation (section Serial expansion method)
_{0}t)} must be set to zero. This is the same idea as in the Poincaré–Lindstedt method. This provides two ordinary differential equations for A , ϕ {\displaystyle...
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(born 1886). 16 May – Anders Lindstedt mathematician, astronomer and actuarial scientist, known for the Poincaré–Lindstedt method (born 1854) 29 May – Åke...
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T={\frac {2\pi }{1-\mu ^{2}/16+17\mu ^{4}/3072+O(\mu ^{6})}}.} See Poincaré–Lindstedt method for a derivation to order 2. See chapter 10 of for a derivation...
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techniques, e.g. the Poincaré–Lindstedt method of elimination of secular terms, or the multi-time asymptotic perturbation method, and more generally,...
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charge Poincaré Seminar Poincaré Seminars Poincaré group Poincaré map Poincaré recurrence theorem Poincaré–Bendixson theorem Poincaré–Lindstedt method Poinsot's...
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Multiple-scale analysis (redirect from Method of multiple scales)
agrees with the nonlinear frequency changes found by employing the Lindstedt–Poincaré method. This new solution is valid until t = O ( ϵ − 2 ) {\displaystyle...
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ISBN 978-1-891389-22-1. Poincaré, Jules Henri (1890). "Sur le problème des trois corps et les équations de la dynamique. Divergence des séries de M. Lindstedt". Acta Mathematica...
23 KB (2,844 words) - 21:42, 23 May 2025
pop-ph]. Poincaré, Jules Henri (1890). "Sur le problème des trois corps et les équations de la dynamique. Divergence des séries de M. Lindstedt". Acta Mathematica...
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S2CID 225246631. Poincaré, Jules Henri (1890). "Sur le problème des trois corps et les équations de la dynamique. Divergence des séries de M. Lindstedt". Acta Mathematica...
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dispersion relationship into a perturbation series, by a method now known as the Lindstedt–Poincaré method. Stokes's wave theory, when using a low order of the...
76 KB (8,320 words) - 00:47, 25 December 2024
elliptic parameter m. This requires numerical solution by some iterative method. The Benjamin–Bona–Mahony equation (BBM equation), or regularised long wave...
64 KB (9,616 words) - 12:39, 28 May 2025