证明无罪 发表于 2025-3-25 05:46:49

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evince 发表于 2025-3-25 08:04:50

Notation and Background,ential forms. This part is not intended to explain concepts in depth; it indicates how much it is assumed about the background of the reader, and also serves to fix notation. After this review, the Cauchy–Kovalevskaya and the Frobenius theorems are discussed with some details. The last section of th

休息 发表于 2025-3-25 15:40:17

Analysis of Linear Systems,crete-time linear systems. The idea is that, being simpler to carry out computations in closed form for linear systems, this way the reader can become confident with such concepts before dealing with the unavoidable obstacles brought in by nonlinearities. The chapter is composed of two sections, the

HAUNT 发表于 2025-3-25 17:17:48

Analysis of Continuous-Time Nonlinear Systems,us-time systems, and their relations with known results in nonlinear systems theory are explored. Such two concepts are strongly related for planar systems, and their relation can be extended to higher order systems through the concept of the inverse Jacobi last multiplier. Before exploring such rel

得意人 发表于 2025-3-25 20:48:09

Analysis of Discrete-Time Nonlinear Systems,tinuous-time systems, to discrete-time ones. Although there are important obstructions (e.g., it seems not possible to define a concept analogous to the one of orbital symmetry), most of the material is derived without important difficulties, sometimes arriving at a result that is slightly weaker th

DUST 发表于 2025-3-26 00:09:16

Analysis of Hamiltonian Systems,r–Lagrange systems constituted by the Hamiltonian ones. The Hamiltonian systems are classically defined by using the Poisson brackets, which are strictly connected with first integrals; several properties of the Poisson brackets, as their relation with changes of coordinates, are explored in detail.

dissolution 发表于 2025-3-26 07:04:33

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CRATE 发表于 2025-3-26 09:17:29

Linearization by State Immersion,ar (and, in general, of higher order) a given nonlinear system. The problem is dealt with both for continuous-time and discrete-time systems. The proposed technique allows, under some assumptions, also the computation of a linearizing diffeomorphism (that does not alter the dimension of the state ve

anticipate 发表于 2025-3-26 14:44:41

Stability Analysis,results, a detailed study of the scalar case is carried out. Then, for planar systems, first, the connection between the center manifold theory and semi-invariants is pointed out; secondly, the critical cases for which it is possible to derive stability conditions that are easy to check are studied.

lethal 发表于 2025-3-26 18:11:18

978-1-4471-6241-4Springer-Verlag London Limited 2011
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查看完整版本: Titlebook: Symmetries and Semi-invariants in the Analysis of Nonlinear Systems; Laura Menini,Antonio Tornambè Book 2011 Springer-Verlag London Limite