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200 10$aSeparatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations /$fJaume Llibre, Ana Nunes
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1994.
210  4$d©1994
215   $a1 online resource (206 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 513
300   $a"January 1994, Volume 107, Number 513 (second of 4 numbers)."
311   $a0-8218-2581-X 
320   $aIncludes bibliographical references.
327   $a""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 a???[sub(HC)]""; ""2.1. The set A""; ""2.2. The set B""; ""2.3. The set I??(HC)""; ""2.4. Simple bifurcations""; ""3. Classification of the simple bifurcations""; ""3.1. The bifurcations of a???'[sub(HC) a??© I??(H,C)""; ""3.2. The bifurcations of a???'[sub(HC) a??© B""
327   $a""3.3. Stability of the simple foliations""""CHAPTER IV: THE PERTURBEB HAMILTONIAN""; ""1. Persistence of the separatrix structures""; ""1.1. Persistence of the circular orbits""; ""1.2. Persistence of the singularity manifolds""; ""1.3. Persistence of the invariant manifolds associated to invariant circles""; ""2. Transversal ejection - collision orbits""; ""3. Persistence of invariant tori and cylinders""; ""REFERENCES""
410  0$aMemoirs of the American Mathematical Society ;$vNumber 513.
606   $aHamiltonian systems
606   $aPerturbation (Mathematics)
606   $aFoliations (Mathematics)
606   $aInvariant manifolds
615  0$aHamiltonian systems.
615  0$aPerturbation (Mathematics)
615  0$aFoliations (Mathematics)
615  0$aInvariant manifolds.
676   $a514/.7
700   $aLlibre$b Jaume$053452
702   $aNunes$b Ana$f1958-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788753603321
996   $aSeparatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations$93759959
997   $aUNINA