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Titlebook: Geometric Dynamics; Constantin Udri?te Book 2000 Kluwer Academic Publishers 2000 dynamics.geometry.manifold.mathematics.mechanics

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樓主: detumescence
21#
發(fā)表于 2025-3-25 04:44:09 | 只看該作者
Vector Fields,Scalar fields (see 1.1) and vector fields (see 1.2 and 1.5) are mathematical models derivedfrom laws of nature, among which we cite the following examples:
22#
發(fā)表于 2025-3-25 10:58:16 | 只看該作者
23#
發(fā)表于 2025-3-25 12:54:15 | 只看該作者
24#
發(fā)表于 2025-3-25 19:53:29 | 只看該作者
25#
發(fā)表于 2025-3-25 23:54:27 | 只看該作者
26#
發(fā)表于 2025-3-26 02:20:42 | 只看該作者
https://doi.org/10.1007/978-1-349-19886-3are self-distributed as tangent vectors to curves. The parallel, torse forming, Newtonian, electrostatic, etc vector fields serve as examples for finding analytic expressions of the field lines (see 3.1, 3.2).
27#
發(fā)表于 2025-3-26 08:13:12 | 只看該作者
https://doi.org/10.1007/978-3-030-40394-2r field X, i.e., the zeros of X, are the equilibrium points of the system. If the physical system remains in a neighbourhood of the equilibrium point x. when the evolution starts in a neighbourhood of x., then the point x. is said to be stable; if not, it is said to be unstable.
28#
發(fā)表于 2025-3-26 09:34:43 | 只看該作者
29#
發(fā)表于 2025-3-26 13:17:12 | 只看該作者
https://doi.org/10.1007/978-3-476-02751-1ns in biology, chemistry, physics, engineering, etc (or in detail in the domains mentioned in the introduction to Chapter 5). From these we shall present only the basic ideas and examples, noting however that the general theory requires supplementary knowledge of functional analysis, topology and dynamical systems.
30#
發(fā)表于 2025-3-26 16:55:28 | 只看該作者
Dramaturgie der Menschheit - Lessinga memory of its initial stress state and of its stress work, depending on its stress history. The modification of behavior under small variations of the material parameters is described by using elements of bifurcation theory.
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