Aerate 发表于 2025-3-25 03:59:00
Nonintegrable Systems,s, but they simply do not exist, since the trajectories of Hamiltonian systems, generally speaking, do not lie on low-dimensional invariant manifolds. We have in mind, of course, integrals which exist on the entire phase space: a complete set of independent first integrals always exists in a small neighborhood of a nonsingular point.jumble 发表于 2025-3-25 09:13:28
Theory of Small Oscillations,g the theory of normal forms of Poincare-Birkhoff. This theory is an analog of perturbation theory (Ch. 5, §2). Here the linearized system plays the role of the unperturbed system with respect to the original one. In this chapter we describe the basic elements of such an approach.无表情 发表于 2025-3-25 11:48:53
http://reply.papertrans.cn/63/6261/626007/626007_23.png云状 发表于 2025-3-25 19:34:27
V. I. Arnold,V. V. Kozlov,A. I. Neishtadt could be used for the highest levels of control systems. We have examined the performance of different neural networks in traditional image recognition tasks and in problems that appear in micromechanical m978-3-642-42611-7978-3-642-02535-8Cursory 发表于 2025-3-25 21:15:01
V. I. Arnold,V. V. Kozlov,A. I. Neishtadt could be used for the highest levels of control systems. We have examined the performance of different neural networks in traditional image recognition tasks and in problems that appear in micromechanical m978-3-642-42611-7978-3-642-02535-8dandruff 发表于 2025-3-26 03:32:22
http://reply.papertrans.cn/63/6261/626007/626007_26.pngNucleate 发表于 2025-3-26 05:04:17
http://reply.papertrans.cn/63/6261/626007/626007_27.png欺骗世家 发表于 2025-3-26 08:57:38
http://reply.papertrans.cn/63/6261/626007/626007_28.png墙壁 发表于 2025-3-26 15:23:18
Symmetry Groups and Reduction (Lowering the Order),LUT 发表于 2025-3-26 19:09:48
Mathematical Aspects of Classical and Celestial Mechanics