运气
发表于 2025-3-26 22:58:30
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Arthropathy
发表于 2025-3-27 05:08:54
https://doi.org/10.1007/978-1-349-17853-7One of the first methods to compute quasi-periodic orbits (i. e. invariant tori with linear motions on them) was the Lindstedt method (see Vol. 2) which produces an expansion of the quasi-periodic orbit with a fixed frequency in powers of a small parameter measuring the distance to integrability.
Connotation
发表于 2025-3-27 05:29:35
Inflection Points, Extatic Points and Curve ShorteningIf (..,.) is a surface with Riemannian metric, then a family of immersed curves .. | 0 ≤ . < . on .. evolves by . if where .. is the geodesic curvature, and . is a unit normal to the curve. Since ... can be written as where . is arclength along ., (1) is essentially a parabolic equation, i.e. a nonlinear heat equation.
有权
发表于 2025-3-27 12:59:04
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单纯
发表于 2025-3-27 16:00:53
Heteroclinic Chains of Skew Product Hamiltonian SystemsConsider a time dependent Hamiltonian system.with configuration manifold . and phase space.Here .: . → ... is the operator corresponding to the symplectic structure . ∧ . Fix a complete Riemannian metric ∥ • ∥ on .. Let . satisfy the following assumptions.
vector
发表于 2025-3-27 19:52:34
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无关紧要
发表于 2025-3-28 01:38:50
On The Discrete One-Dimensional Quasi-Periodic Schrödinger Equation and Other Smooth Quasi-Periodic In this paper we shall review some results about . and some other skew products over a . of the one-dimensional torus T = ℝ/(2πℤ). The results are of perturbation character and obtained by KAM-type arguments.
思想上升
发表于 2025-3-28 05:06:43
Lindstedt Series for Lower Dimensional ToriOne of the first methods to compute quasi-periodic orbits (i. e. invariant tori with linear motions on them) was the Lindstedt method (see Vol. 2) which produces an expansion of the quasi-periodic orbit with a fixed frequency in powers of a small parameter measuring the distance to integrability.
Torrid
发表于 2025-3-28 08:50:19
https://doi.org/10.1007/978-3-031-63083-5 of the three body problem, , In modern language, , it is the generating function, that I call . here, . of the sequence of trigonometric polynomials associated with well known combinatorial objects, namely ..
Impugn
发表于 2025-3-28 10:47:03
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