TY  - BOOK
AU  - Baldomá,Inmaculada
AU  - Fontich,Ernest
TI  - Exponentially Small Splitting of Invariant Manifolds of Parabolic Points
T2  - Memoirs of the American Mathematical Society
SN  - 9781470403904
AV  - QA614.833 -- .B35 2004eb 
U1  - 510 s;515/.39 
PY  - 2003///
CY  - Providence
PB  - American Mathematical Society
KW  - Nonholonomic dynamical systems
KW  - Hamiltonian systems
KW  - Lagrangian points
KW  - Electronic books
N1  - Intro -- Contents -- Introduction -- 1. Notation and main results -- 1.1. Notation and hypotheses -- 1.2. Main results -- 1.3. Example -- 2. Analytic properties of the homoclinic orbit of the unperturbed system -- 2.1. Introduction and main results -- 2.2. Proof of Proposition 2.1 -- 3. Parameterization of local invariant manifolds -- 3.1. Introduction -- 3.2. Definitions and main result -- 3.3. Averaging of the equation -- 3.4. Estimates for the Poincaré map -- 3.5. The operators B and B -- 3.6. Proof of Theorem 3.1 -- 4. Flow box coordinates -- 4.1. Introduction -- 4.2. Definitions and main result -- 4.3. A preliminary change of variables -- 4.4. The unperturbed case -- 4.5. Flow box coordinates in a complex domain -- 4.6. Proof of Theorem 4.2 -- 5. The Extension Theorem -- 6. Splitting of separatrices -- 6.1. Introduction -- 6.2. The splitting function -- 6.3. Proof of Theorem 1.1 and its corollary -- 6.4. Proof of Lemma 6.4 -- 6.5. Proof of Corollary 1.1 -- References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114431
ER  -