1. Daniel J. Cross, Ryan Michaluk, and R. Gilmore, Biological algorithm for data reconstruction, Phys. Rev. E, 81, 036217 (2010).
  2. R. Gilmore, Jean Marc Ginoux, Timothy Jones, C. Letellier, and U. S. Freitas, Connecting curves for dynamical systems, J. Phys. A: Math. Theor., 43(25), 255101 (2010).
  3. Daniel J. Cross and R. Gilmore, Differential Embedding of the Lorenz Attractor, Phys. Rev. E, 81, 066220 (2010).
  4. J. Katriel and R. Gilmore, Entropy of bounding tori , Entropy, 12(4), 953-960 (2010).
  5. C. Letellier and R. Gilmore, Poincaré sections for a new three-dimensional toroidal attractor , J. Phys. A: Math. Theor., 42, 015101 (2009).
  6. Daniel J. Cross and R. Gilmore, Representation theory for strange attractors, Phys. Rev. E, 80(1), 056207 (2009).
  7. C. Letellier, I. Moroz, and R. Gilmore, Comparison of tests for embeddings, Phys. Rev. E, 78, 026203 (2008).
  8. C. Letellier, V. Messager, and R. Gilmore, From quasiperiodicity to toroidal chaos: Analogy between the Curry-Yorke map and the van der Pol system, Phys. Rev. E, 77, 046203 (2008).
  9. R. Gilmore, C. Letellier, and M. Lefranc, Chaos Topology, Scholarpedia, 3(7), 4592 (2007).
  10. N. Romanazzi, M. Lefranc, and R. Gilmore, Embeddings of low-dimensional strange attractors: Topological invariants and degrees of freedom, Phys. Rev. E, 75, 066214 (2007).
  11. R. Gilmore, C. Letellier, and N. Romanazzi, Global topology from an embedding, . Phys. A: Math. Theor., 40(44), 13291 (2007).
  12. C. Letellier, R. Gilmore, and Timothy Jones, Peeling bifurcations of toroidal chaotic attractors, Phys. Rev. E, 76, 066204 (2007).
  13. C. Letellier and R. Gilmore, Symmetry groups for 3D dynamical systems, Journal of Physics A, 40, 5597-5620 (2007).
  14. R. Gilmore, Two-parameter families of strange attractors, Chaos, 17, 1 (2007).
  15. I. Moroz, C. Letellier, and R. Gilmore, When are projections also embeddings?, Phys. Rev. E, 75, 046201 (2007).
  16. R. Gilmore, Chaos and Attractors, Encylcopedia of Mathematical Physics (J.P. Antoine,G. L. Naber, and S. T. Tsou, eds.), Amsterdam: Elsevier, 477-488 (2006).
  17. C. Letellier, L. A. Aguirre, J. Maquet, and R. Gilmore, Evidence for low-dimensional chaos in sunspot cycles, Astronomy and Astrophysics, 449, 379-387 (2006).
  18. C. Letellier, T. D. Tsankov, G. Byrne, and R. Gilmore, Large scale structural reorganization of strange attractors, Phys. Rev. E, 72, 026212 (2005).
  19. G. Byrne, R. Gilmore, and C. Letellier, Distinguishing between folding and tearing mechanisms in strange attractors, Phys. Rev. E, 70, 056214 (2004).
  20. R. Gilmore, Quantizing Chaos.
  21. T. D. Tsankov, A. Nishtala, and R. Gilmore, Embeddings of a strange attractor into R^3, Phys. Rev. E, 69, 056215 (2004).
  22. T. D. Tsankov and R. Gilmore, Topological aspects of the structure of chaotic attractors in R^3, Phys. Rev. E, 69, 056206 (2004).
  23. T. D. Tsankov and R. Gilmore, Strange attractors are classified by bounding tori, Phys. Rev. Lett., 91(13), 134104 (2003).
  24. C. Letellier and R. Gilmore, Dressed symbolic dynamics, Phys. Rev. E, 67, 036205 (2003).
  25. C. Letellier, P. Werny, J.-M. Malasoma, and R. Gilmore, Multichannel intermittencies induced by symmetries, Phys. Rev. E, 66, 036220 (2002).
  26. C. Letellier and R. Gilmore, Covering dynamical systems: Two-fold covers, Phys. Rev. E, 63, 016206 (2000).
  27. R. Gilmore, X. Pei, and F. Moss, Topological analysis of chaos in neural spike train bursts, Chaos, 9(3), 812-817 (1999).
  28. E. Rold\'an, G. J. de Valc\'arel, R. Vilaseca, R. Corbal\'an, V. J. Mart\'inez, and R. Gilmore, The Dynamics of Optically Pumped Molecular Lasers. On its Relation with the Lorenz-Haken Model, Quantum and Semiclassical Optics, 9, R1-R35 (1997).
  29. R. Gilmore, R. Vilaseca, R. Corbal\'an, and E. Rold\'an, Topological Analysis of chaos in the optically pumped laser, Phys. Rev. E, 55, 2479-2487 (1997).
  30. R. Gilmore and J. W. L. McCallum, Superstructure in the Bifurcation Diagram of the Duffing Oscillator, Phys. Rev. E, 51, 935-956 (1995).
  31. P. T. Boyd, G. B. Mindlin, R. Gilmore, and H. G. Solari, Topological Analysis of Chaotic Orbits: Hyperion Revisited, Ap. J., 431, 425-431 (1994).
  32. R. Gilmore, Topological analysis of chaotic dynamical systems, Revs. Mod. Phys., 70, 1455-1529 (1998).
  33. J. L. W. McCallum and R. Gilmore, A Geometric Model for the Driven Duffing Oscillator, Int. J. Bifurcation and Chaos, 3, 685-691 (1993).
  34. G. B. Mindlin, R. Lopez-Ruiz, H. G. Solari, and R. Gilmore, Horseshoe implications, Phys. Rev. E, 48, 4297-4304 (1993).
  35. R. Gilmore, Summary of the Second Workshop on Measures of Complexity and Chaos, Int. J. Bifurcation and Chaos , 3, 491-524 (1993).
  36. F. A. Papoff, A. Fioretti, E. Arimondo, G. B. Mindlin, H. G. Solari, and R. Gilmore, Structure of chaos in the laser with saturated absorber, Phys. Rev. Lett., 68, 1128-1131 (1992).
  37. G. B. Mindlin and R. Gilmore, Topological Analysis and Synthesis of Chaotic Time Series, Physica D, 58, 229-242 (1992).
  38. G. B. Mindlin, H. G. Solari, M. A. Natiello, R. Gilmore, and X.-J. Hou, Topological analysis of chaotic time series data from the Belousov-Zhabotinskii reaction, J. Nonlinear Science, 1, 147-173 (1991).
  39. G. B. Mindlin, X.-J. Hou, H. G. Solari, R. Gilmore, and N. B. Tufillaro, Classification of strange attractors by integers, Phys. Rev. Lett., 64, 2350-2353 (1990).
  40. N. B. Tufillaro, H. G. Solari, and R. Gilmore, Relative rotation rates: Fingerprints for strange attractors, Phys. Rev. A, 41, 5717-5720 (1990).
  41. E. Eschenazi, H. G. Solari and R. Gilmore, Basins of Attraction in Driven Dynamical Systems, Phys. Rev. A, 39, 2609-2627 (1989).
  42. H. G. Solari and R. Gilmore, Relative rotation rates for driven dynamical systems, Phys. Rev. A, 37, 3096-3109 (1988).
  43. H. G. Solari, E. Eschenazi, R. Gilmore and J. Tredicce, Influence of Coexisting Attractors on the Dynamics of a Laser System, Optics Commun., 64, 49-53 (1987).

News

Journal articles

Biological Algorithm for Data Reconstruction

Daniel J. Cross, Ryan Michaluk, and R. Gilmore

Connecting Curves for Dynamical Systems

R. Gilmore, Jean Marc Ginoux, Timothy Jones, C. Letellier, and U. S. Freitas

Differential Embedding of the Lorenz Attractor

Daniel J. Cross and R. Gilmore

End News