03063nam 2200613 450 991078875360332120180613001258.01-4704-0090-1(CKB)3360000000464697(EBL)3113951(SSID)ssj0000889208(PQKBManifestationID)11449088(PQKBTitleCode)TC0000889208(PQKBWorkID)10876586(PQKB)10588489(MiAaPQ)EBC3113951(RPAM)3470605(PPN)195413962(EXLCZ)99336000000046469720140909h19941994 uy 0engur|n|---|||||txtccrSeparatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations /Jaume Llibre, Ana NunesProvidence, Rhode Island :American Mathematical Society,1994.©19941 online resource (206 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 513"January 1994, Volume 107, Number 513 (second of 4 numbers)."0-8218-2581-X Includes bibliographical references.""TABLE OF CONTENTS""; ""CHAPTER I: INTRODUCTION AND STATEMENT OF THE RESULTS""; ""CHAPTER II: BIFURCATIONS""; ""1. Hamiltonian systems with two degrees of freedom associated to central potentials""; ""1.1. Preliminary results on Hamiltonian systems""; ""1.2. Definitions and basic properties""; ""2. Study of the bifurcation set â??[sub(HC)]""; ""2.1. The set A""; ""2.2. The set B""; ""2.3. The set Ï?(HC)""; ""2.4. Simple bifurcations""; ""3. Classification of the simple bifurcations""; ""3.1. The bifurcations of â??'[sub(HC) â?© Ï?(H,C)""; ""3.2. The bifurcations of â??'[sub(HC) â?© B""""3.3. Stability of the simple foliations""""CHAPTER IV: THE PERTURBEB HAMILTONIAN""; ""1. Persistence of the separatrix structures""; ""1.1. Persistence of the circular orbits""; ""1.2. Persistence of the singularity manifolds""; ""1.3. Persistence of the invariant manifolds associated to invariant circles""; ""2. Transversal ejection - collision orbits""; ""3. Persistence of invariant tori and cylinders""; ""REFERENCES""Memoirs of the American Mathematical Society ;Number 513.Hamiltonian systemsPerturbation (Mathematics)Foliations (Mathematics)Invariant manifoldsHamiltonian systems.Perturbation (Mathematics)Foliations (Mathematics)Invariant manifolds.514/.7Llibre Jaume53452Nunes Ana1958-MiAaPQMiAaPQMiAaPQBOOK9910788753603321Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations3759959UNINA