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Discrete & Continuous Dynamical Systems - B

September 2008 , Volume 10 , Issue 2&3

Special Issue dedicated to Carles Simo on the occasion of his 60th anniversary

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Amadeu Delshams, Ernest Fontich and Àngel Jorba
2008, 10(2&3, September): i-iii doi: 10.3934/dcdsb.2008.10.2i +[Abstract](706) +[PDF](54.3KB)
Non-integrability of some hamiltonians with rational potentials
Primitivo Acosta-Humánez and David Blázquez-Sanz
2008, 10(2&3, September): 265-293 doi: 10.3934/dcdsb.2008.10.265 +[Abstract](803) +[PDF](327.0KB)
One dimensional invariant manifolds of Gevrey type in real-analytic maps
I. Baldomá and Àlex Haro
2008, 10(2&3, September): 295-322 doi: 10.3934/dcdsb.2008.10.295 +[Abstract](702) +[PDF](328.3KB)
The inner equation for generic analytic unfoldings of the Hopf-zero singularity
I. Baldomá and Tere M. Seara
2008, 10(2&3, September): 323-347 doi: 10.3934/dcdsb.2008.10.323 +[Abstract](898) +[PDF](374.7KB)
Curvature perturbations and stability of a ring of vortices
Stefanella Boatto
2008, 10(2&3, September): 349-375 doi: 10.3934/dcdsb.2008.10.349 +[Abstract](873) +[PDF](373.5KB)
Gevrey and analytic local models for families of vector fields
Patrick Bonckaert and P. De Maesschalck
2008, 10(2&3, September): 377-400 doi: 10.3934/dcdsb.2008.10.377 +[Abstract](766) +[PDF](287.8KB)
Dynamical systems modeling of low-frequency variability in low-order atmospheric models
H. W. Broer and Renato Vitolo
2008, 10(2&3, September): 401-419 doi: 10.3934/dcdsb.2008.10.401 +[Abstract](916) +[PDF](2102.9KB)
The flow of the equal-mass spatial 3-body problem in the neighborhood of the equilateral relative equilibrium
Alain Chenciner and Jacques Féjoz
2008, 10(2&3, September): 421-438 doi: 10.3934/dcdsb.2008.10.421 +[Abstract](820) +[PDF](260.3KB)
Global dynamics in a self--consistent model of elliptical galaxy
Pablo Cincotta, Claudia Giordano and Juan C. Muzzio
2008, 10(2&3, September): 439-454 doi: 10.3934/dcdsb.2008.10.439 +[Abstract](647) +[PDF](1985.8KB)
Computing the scattering map in the spatial Hill's problem
Amadeu Delshams, Josep J. Masdemont and Pablo Roldán
2008, 10(2&3, September): 455-483 doi: 10.3934/dcdsb.2008.10.455 +[Abstract](1034) +[PDF](619.2KB)
Liénard and Riccati differential equations related via Lie Algebras
Isaac A. García, Jaume Giné and Jaume Llibre
2008, 10(2&3, September): 485-494 doi: 10.3934/dcdsb.2008.10.485 +[Abstract](794) +[PDF](178.8KB)
On the stability of periodic orbits for differential systems in $\mathbb{R}^n$
Armengol Gasull, Héctor Giacomini and Maite Grau
2008, 10(2&3, September): 495-509 doi: 10.3934/dcdsb.2008.10.495 +[Abstract](831) +[PDF](188.3KB)
High-precision computations of divergent asymptotic series and homoclinic phenomena
Vassili Gelfreich and Carles Simó
2008, 10(2&3, September): 511-536 doi: 10.3934/dcdsb.2008.10.511 +[Abstract](823) +[PDF](537.5KB)
A mechanism for the fractalization of invariant curves in quasi-periodically forced 1-D maps
Àngel Jorba and Joan Carles Tatjer
2008, 10(2&3, September): 537-567 doi: 10.3934/dcdsb.2008.10.537 +[Abstract](778) +[PDF](602.8KB)
Making the moon reverse its orbit, or, stuttering in the planar three-body problem
Samuel R. Kaplan, Mark Levi and Richard Montgomery
2008, 10(2&3, September): 569-595 doi: 10.3934/dcdsb.2008.10.569 +[Abstract](752) +[PDF](341.9KB)
Entropy estimates for a family of expanding maps of the circle
Rafael De La Llave, Michael Shub and Carles Simó
2008, 10(2&3, September): 597-608 doi: 10.3934/dcdsb.2008.10.597 +[Abstract](809) +[PDF](565.0KB)
A topological existence proof for the Schubart orbits in the collinear three-body problem
Richard Moeckel
2008, 10(2&3, September): 609-620 doi: 10.3934/dcdsb.2008.10.609 +[Abstract](946) +[PDF](264.3KB)
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems
Anatoly Neishtadt, Carles Simó, Dmitry Treschev and Alexei Vasiliev
2008, 10(2&3, September): 621-650 doi: 10.3934/dcdsb.2008.10.621 +[Abstract](918) +[PDF](14437.4KB)
Trivial dynamics for a class of analytic homeomorphisms of the plane
Rafael Ortega
2008, 10(2&3, September): 651-659 doi: 10.3934/dcdsb.2008.10.651 +[Abstract](776) +[PDF](155.6KB)
On the density of mechanical Lagrangians in $T^{2}$ without continuous invariant graphs in all supercritical energy levels
Rafael O. Ruggiero
2008, 10(2&3, September): 661-679 doi: 10.3934/dcdsb.2008.10.661 +[Abstract](786) +[PDF](319.0KB)
Stability islands in the vicinity of separatrices of near-integrable symplectic maps
Carles Simó and Dmitry Treschev
2008, 10(2&3, September): 681-698 doi: 10.3934/dcdsb.2008.10.681 +[Abstract](720) +[PDF](3328.6KB)
A Variational proof of the existence of Von Schubart's orbit
Andrea Venturelli
2008, 10(2&3, September): 699-717 doi: 10.3934/dcdsb.2008.10.699 +[Abstract](912) +[PDF](302.2KB)
Dynamics and bifurcations of random circle diffeomorphism
Hicham Zmarrou and Ale Jan Homburg
2008, 10(2&3, September): 719-731 doi: 10.3934/dcdsb.2008.10.719 +[Abstract](800) +[PDF](776.0KB)

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