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Frontmatter -1 Chapter I Physical aspects of dynamical systems -1 Chapter II Variational principles and applications -1 Chapter III Formal aspects of dynamics 1 1. Introductory remarks. 1 2. The formal group. 2 3. Formal solutions. 5 4. The equilibrium. 9 5. The generalized equilibrium problem. 13 6. On the Hamiltonian multipliers. 16 7. Normalization of H_2. 20 8. The Hamiltonian equilibrium problem. 24 9. Generalization of the Hamiltonian problem. 27 10. On the Pfaffian multipliers. 31 11. Preliminary normalization in Pfaffian problem. 33 12. The Pfaffian equilibrium problem. 35 13. Generalization of the Pfaffian problem. 36 Chapter IV Stability of periodic motions -1 Chapter V Existence of periodic motions -1 Chapter VI Application of Poincare's geometric theorem -1 Chapter VII General theory of dynamical systems -1 Chapter VIII The case of two degrees of freedom -1 Chapter IX The problem of three bodies -1 Endmatter -1

Author
北弘传媒
Language
ZH

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