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Curriculum Vitae
Publication List
Courses
Seminars
Contact
Chaos Theory
American Mathematical Society
arXiv.org e-print archive
Mathematical Physics Preprint
Archive
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BOOKS:
 | 2005, "Differential Geometry and Topology: with a view to dynamical systems" (co-author K.
Burns), Chapman & Hall/CRC Press. |
| 2003, "Chaotic Dynamical Systems: An Introduction" (co-author C.P. Niculescu),
Universitaria Press, Craiova, Romania. |
VOLUME EDITED:
| 2006, "Topological and Analytical Shadowing Techniques" (co-editor
C. Robinson), special issue of
Discrete and Continuous Dynamical Systems, American Institute of
Mathematical Sciences. |
PAPERS:
| 2008, "Geometric approaches to the problem of
instability in Hamiltonian systems. An informal presentation" (co-authors A. Delshams, R. de la Llave, T. Seara), in
Hamiltonian dynamical systems and applications (Eds. W. Craig), Springer, 2008. |
| 2008, "Obstruction argument for transition chains of tori interspersed with gaps" (co-author C. Robinson),
Discrete and Continuous Dynamical Systems, submitted. |
| 2007, "Resonant Motion, Ballistic Escape, and their Applications in
Astrodynamics" (co-authors E. Belbruno, F. Topputo), Advances in Space Research,
to appear. |
| 2007, "Resonance Transitions Associated to Weak Capture in the Restricted
Three-Body Problem" (co-author E. Belbruno, F. Topputo), Advances in Space Research,
to appear. |
| 2007, "Shadowing orbits for transition chains of invariant tori alternating with Birkhoff zones of instability"
(co-author C. Robinson), Vol. 20. |
| 2007, "Phase space reconstruction in the restricted three-body problem"
(co-authors G. Anderson and F. Deppe), in New Trends in Astrodynamics and Applications III (Eds. E.
Belbruno), AIP Conference Proceedings Volume 886. |
| 2007, "Geometry of homoclinic connections
in a planar circular restricted three-body problem" (co-author J. Masdemont),
International Journal of Bifurcations and Chaos, Vol. 17. |
| 2006, "Topological methods in the instability problem of Hamiltonian systems" (co-author R. de la Llave),
Discrete and Continuous Dynamical Systems, Vol. 14. |
| 2006, "Chaotic orbits in a restricted three-body problem: numerical experiments and
heuristics" (co-author F. Deppe), Communications in Nonlinear Science and Numerical
Simulation, Vol. 11. |
| 2005, "On Wesner's method of searching for chaos on low frequency"
(co-author D. Quaid), Economics Bulletin, Vol. 3. |
| 2004, "Covering relations for multidimensional dynamical
systems-I" (co-author P.
Zgliczynski), Journal of Differential Equations, Vol. 202. |
| 2004, "Covering relations for multidimensional dynamical systems -II" (co-author P.
Zgliczynski), Journal of Differential Equations, Vol. 202. |
| 2004, "Symbolic Dynamics and Transition Tori-II" (co-author C. Robinson), in
New Advances in Celestial Mechanics and Hamiltonian Systems (Eds. J. Delgado,
E.A. Lacomba, J. Llibre and E. Perez Chavela), Kluwer Academic/Plenum Publishers. |
| 2003, "Topologically Crossing Heteroclinic Connections to Invariant
Tori" (co-author C.
Robinson), Journal of Differential Equations, Vol. 193. |
| 2003, "Chaotic Orbits in Three- and Four-Body Systems" (co-author M. Burgos), Physica A,
Vol. 328. |
| 2001, "Chaotic Julia Sets: A Conley Index
Approach", Topology and its Applications,
Vol. 125. |
| 2000, "Non-smooth Dynamical Systems that Exhibit Hyperbolic
Behavior",
Revue Roumaine de Mathematiques Pures et Appliques, vol.45, no. 4. |
| 1999, "Leray Functor and Orbital Conley Index for Non-Invariant sets'',
Discrete and Continuous Dynamical Systems, vol. 5, no. 3. |
| 1999, "The Conley Index for Countable Decompositions of Invariant Sets", in
Conley Index Theory, Banach Center Publications, vol. 47, Polish Academy of
Sciences. |
| 1998, "A Discrete Conley Index for Non-Invariant Sets'', Universitatis
Jagellonicae Acta Mathematica, in Proceedings of the Topological Methods in Differential Equations and Dynamical
Systems Conference, Krak\'ow, Poland, July 17-20, 1996, fasciculus XXXVI. |
| 1996, "Markov partitions for non-hyperbolic systems'', Dynamic Systems and
Applications, vol. 5, no. 4. |
| 1995, "Stability of the Topological Entropy for a Class of Iterations of Rational Functions with Perturbations'',
Mathematical Reports, vol. 32. |
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