Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in R⁴
In this article the authors study Hamiltonian flows associated to smooth functions H: mathbb R^4 to mathbb R restricted to energy levels close to critical levels. They assume the existence of a saddle-center equilibrium point p_c in the zero energy level H^{-1}(0). The Hamiltonian function near p_...
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| Format: | Electronic eBook |
| Language: | English |
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Providence :
American Mathematical Society,
2018
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| Series: | Memoirs of the American Mathematical Society Ser.
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| Subjects: | |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- Cover; Title page; Chapter 1. Introduction; 1.1. Saddle-center equilibrium points; 1.2. Strictly convex subsets of the critical energy level; 1.3. 2-3 foliations; 1.4. Main statement; 1.5. Applications; 1.6. An open question; Chapter 2. Proof of the main statement; Chapter 3. Proof of Proposition 2.1; Chapter 4. Proof of Proposition 2.2; Chapter 5. Proof of Proposition 2.8; Chapter 6. Proof of Proposition 2.9; Chapter 7. Proof of Proposition 2.10- ); Chapter 8. Proof of Proposition 2.10-ii); Chapter 9. Proof of Proposition 2.10-iii).
- Appendix A. Basics on pseudo-holomorphic curves in symplectizationsAppendix B. Linking properties; Appendix C. Uniqueness and intersections of pseudo-holomorphic curves; References; Back Cover.
