| Year |
Citation |
Score |
| 2021 |
Letellier C, Abraham R, Shepelyansky DL, Rössler OE, Holmes P, Lozi R, Glass L, Pikovsky A, Olsen LF, Tsuda I, Grebogi C, Parlitz U, Gilmore R, Pecora LM, Carroll TL. Some elements for a history of the dynamical systems theory. Chaos (Woodbury, N.Y.). 31: 053110. PMID 34240941 DOI: 10.1063/5.0047851 |
0.496 |
|
| 2015 |
Gilmore R. Explosions in Lorenz maps Chaos, Solitons and Fractals. 76: 130-140. DOI: 10.1016/J.Chaos.2015.03.020 |
0.308 |
|
| 2014 |
Byrne G, Gilmore R, Cebral J. Connecting curves in higher dimensions Journal of Physics a: Mathematical and Theoretical. DOI: 10.1088/1751-8113/47/21/215101 |
0.365 |
|
| 2013 |
Cross DJ, Gilmore R. Dressed return maps distinguish chaotic mechanisms. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 87: 012919. PMID 23410416 DOI: 10.1103/Physreve.87.012919 |
0.669 |
|
| 2013 |
Katriel J, Gilmore R. Entropy of bounding tori Entropy. 15: 953-960. DOI: 10.3390/E12040953 |
0.31 |
|
| 2013 |
Letellier C, Gilmore R. The universal template is a subtemplate of the double-scroll template Journal of Physics a: Mathematical and Theoretical. 46. DOI: 10.1088/1751-8113/46/6/065102 |
0.54 |
|
| 2012 |
Messager V, Gilmore R, Letellier C. Henri Poincaré and the principle of relativity Contemporary Physics. 53: 397-415. DOI: 10.1080/00107514.2012.721300 |
0.524 |
|
| 2010 |
Cross DJ, Gilmore R. Complete set of representations for dissipative chaotic three-dimensional dynamical systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 056211. PMID 21230567 DOI: 10.1103/Physreve.82.056211 |
0.664 |
|
| 2010 |
Cross DJ, Gilmore R. Differential embedding of the Lorenz attractor. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 81: 066220. PMID 20866514 DOI: 10.1103/Physreve.81.066220 |
0.662 |
|
| 2010 |
Cross DJ, Michaluk R, Gilmore R. Biological algorithm for data reconstruction. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 81: 036217. PMID 20365842 DOI: 10.1103/Physreve.81.036217 |
0.633 |
|
| 2010 |
Gilmore R, Ginoux JM, Jones T, Letellier C, Freitas US. Connecting curves for dynamical systems Journal of Physics a: Mathematical and Theoretical. 43. DOI: 10.1088/1751-8113/43/25/255101 |
0.593 |
|
| 2010 |
Cross DJ, Gilmore R. Equivariant differential embeddings Journal of Mathematical Physics. 51. DOI: 10.1063/1.3479693 |
0.651 |
|
| 2010 |
Jenks S, Gilmore R. Quantum dot solar cell: Materials that produce two intermediate bands Journal of Renewable and Sustainable Energy. 2. DOI: 10.1063/1.3327817 |
0.675 |
|
| 2009 |
Cross DJ, Gilmore R. Representation theory for strange attractors. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 80: 056207. PMID 20365060 DOI: 10.1103/Physreve.80.056207 |
0.662 |
|
| 2009 |
Letellier C, Gilmore R. Poincaré sections for a new three-dimensional toroidal attractor Journal of Physics a: Mathematical and Theoretical. 42. DOI: 10.1088/1751-8113/42/1/015101 |
0.597 |
|
| 2008 |
Letellier C, Moroz IM, Gilmore R. Comparison of tests for embeddings. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 78: 026203. PMID 18850917 DOI: 10.1103/Physreve.78.026203 |
0.53 |
|
| 2008 |
Letellier C, Messager V, Gilmore R. From quasiperiodicity to toroidal chaos: analogy between the Curry-Yorke map and the van der Pol system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 77: 046203. PMID 18517706 DOI: 10.1103/Physreve.77.046203 |
0.556 |
|
| 2007 |
Letellier C, Gilmore R, Jones T. Peeling bifurcations of toroidal chaotic attractors. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 76: 066204. PMID 18233901 DOI: 10.1103/Physreve.76.066204 |
0.698 |
|
| 2007 |
Romanazzi N, Lefranc M, Gilmore R. Embeddings of low-dimensional strange attractors: topological invariants and degrees of freedom. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 75: 066214. PMID 17677347 DOI: 10.1103/Physreve.75.066214 |
0.692 |
|
| 2007 |
Moroz IM, Letellier C, Gilmore R. When are projections also embeddings? Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 75: 046201. PMID 17500972 DOI: 10.1103/Physreve.75.046201 |
0.59 |
|
| 2007 |
Gilmore R, Letellier C, Romanazzi N. Global topology from an embedding Journal of Physics a: Mathematical and Theoretical. 40: 13291-13297. DOI: 10.1088/1751-8113/40/44/010 |
0.572 |
|
| 2007 |
Letellier C, Gilmore R. Symmetry groups for 3D dynamical systems Journal of Physics a: Mathematical and Theoretical. 40: 5597-5620. DOI: 10.1088/1751-8113/40/21/011 |
0.586 |
|
| 2006 |
Letellier C, Aguirre LA, Maquet J, Gilmore R. Evidence for low dimensional chaos in sunspot cycles Astronomy & Astrophysics. 449: 379-387. DOI: 10.1051/0004-6361:20053947 |
0.584 |
|
| 2005 |
Letellier C, Tsankov TD, Byrne G, Gilmore R. Large-scale structural reorganization of strange attractors. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 72: 026212. PMID 16196689 DOI: 10.1103/Physreve.72.026212 |
0.749 |
|
| 2004 |
Byrne G, Gilmore R, Letellier C. Distinguishing between folding and tearing mechanisms in strange attractors. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 70: 056214. PMID 15600735 DOI: 10.1103/Physreve.70.056214 |
0.548 |
|
| 2004 |
Tsankov TD, Nishtala A, Gilmore R. Embeddings of a strange attractor into R3. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 69: 056215. PMID 15244912 DOI: 10.1103/Physreve.69.056215 |
0.759 |
|
| 2004 |
Tsankov TD, Gilmore R. Topological aspects of the structure of chaotic attractors in R3. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 69: 056206. PMID 15244903 DOI: 10.1103/Physreve.69.056206 |
0.769 |
|
| 2004 |
Tsankov TD, Gilmore R. Topological aspects of the structure of chaotic attractors in ℝ3 Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 69: 056206-1-056206-11. |
0.764 |
|
| 2003 |
Tsankov TD, Gilmore R. Strange attractors are classified by bounding Tori. Physical Review Letters. 91: 134104. PMID 14525309 DOI: 10.1103/Physrevlett.91.134104 |
0.764 |
|
| 2003 |
Gilmore R, Letellier C. Dressed symbolic dynamics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 67: 036205. PMID 12689151 DOI: 10.1103/Physreve.67.036205 |
0.57 |
|
| 2003 |
Gilmore R, Lefranc M. The Topology of Chaos American Journal of Physics. 71: 508-510. DOI: 10.1119/1.1564612 |
0.669 |
|
| 2002 |
Letellier C, Werny P, Malasoma JM, Gilmore R. Multichannel intermittencies induced by symmetries. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 66: 036220. PMID 12366237 DOI: 10.1103/Physreve.66.036220 |
0.529 |
|
| 2001 |
Letellier C, Gilmore R. Covering dynamical systems: Twofold covers Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 63: 1-10. DOI: 10.1103/Physreve.63.016206 |
0.605 |
|
| 1998 |
Gilmore R. Topological analysis of chaotic dynamical systems Reviews of Modern Physics. 70: 1455-1529. DOI: 10.1103/Revmodphys.70.1455 |
0.415 |
|
| 1996 |
Novoselsky A, Katriel J, Gilmore R. Symmetry Adaptation of Many-Particle States with Respect to BothO(4) and the Symmetric Group Annals of Physics. 246: 166-189. DOI: 10.1006/Aphy.1996.0024 |
0.3 |
|
| 1994 |
Boyd PT, Mindlin GB, Gilmore R, Solari HG. Topological analysis of chaotic orbits: Revisiting hyperion Astrophysical Journal. 431: 425-431. DOI: 10.1086/174496 |
0.604 |
|
| 1993 |
Mindlin GB, López-Ruiz R, Solari HG, Gilmore R. Horseshoe implications. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 48: 4297-4304. PMID 9961110 DOI: 10.1103/PhysRevE.48.4297 |
0.467 |
|
| 1993 |
McCALLUM JWL, Gilmore R. A Geometric Model For The Duffing Oscillator International Journal of Bifurcation and Chaos. 3: 685-691. DOI: 10.1142/S0218127493000593 |
0.35 |
|
| 1993 |
Abraham NB, Albano AM, Passamante A, Rapp PE, Gilmore R. Complexity And Chaos Ii International Journal of Bifurcation and Chaos. 3: 485-490. DOI: 10.1142/S0218127493000398 |
0.61 |
|
| 1992 |
Papoff F, Fioretti A, Arimondo E, Mindlin GB, Solari H, Gilmore R. Structure of chaos in the laser with saturable absorber. Physical Review Letters. 68: 1128-1131. PMID 10046087 DOI: 10.1103/PhysRevLett.68.1128 |
0.475 |
|
| 1992 |
Mindlin GM, Gilmore R. Topological analysis and synthesis of chaotic time series Physica D: Nonlinear Phenomena. 58: 229-242. DOI: 10.1016/0167-2789(92)90111-Y |
0.343 |
|
| 1991 |
Mindlin GB, Solari HG, Natiello MA, Gilmore R, Hou XJ. Topological analysis of chaotic time series data from the Belousov-Zhabotinskii reaction Journal of Nonlinear Science. 1: 147-173. DOI: 10.1007/Bf01209064 |
0.595 |
|
| 1990 |
Mindlin GB, Hou XJ, Solari HG, Gilmore R, Tufillaro NB. Classification of strange attractors by integers. Physical Review Letters. 64: 2350-2353. PMID 10041690 DOI: 10.1103/Physrevlett.64.2350 |
0.589 |
|
| 1990 |
Zhang W, Feng DH, Gilmore R. Coherent states: Theory and some Applications Reviews of Modern Physics. 62: 867-927. DOI: 10.1103/Revmodphys.62.867 |
0.346 |
|
| 1990 |
Hou XJ, Gilmore R, Mindlin GB, Solari HG. An efficient algorithm for fast O(N*ln(N)) box counting Physics Letters A. 151: 43-46. DOI: 10.1016/0375-9601(90)90844-E |
0.546 |
|
| 1988 |
Solari HG, Gilmore R. Organization of periodic orbits in the driven Duffing oscillator Physical Review A. 38: 1566-1572. DOI: 10.1103/Physreva.38.1566 |
0.307 |
|
| 1988 |
Solari HG, Gilmore R. Relative rotation rates for driven dynamical systems Physical Review A. 37: 3096-3109. DOI: 10.1103/Physreva.37.3096 |
0.346 |
|
| 1987 |
Gilmore R, Yuan JM. Group theoretical approach to semiclassical dynamics: Single mode case The Journal of Chemical Physics. 86: 130-139. DOI: 10.1063/1.452745 |
0.344 |
|
| 1984 |
Feng DH, Sun HZ, Vallieres M, Gilmore R, Frank A, van Isacker P. Dynamical supersymmetry and collective nuclear structure physics Nuclear Physics, Section A. 421: 167-187. DOI: 10.1016/0375-9474(84)90344-0 |
0.311 |
|
| 1980 |
Feng DH, Gilmore R. TDHF equations of motion for algebraic hamiltonians in a coherent state representation Physics Letters B. 90: 327-330. DOI: 10.1016/0370-2693(80)90940-5 |
0.302 |
|
| 1976 |
Gilmore R. Structural stability of the phase transition in Dicke-like models Journal of Mathematical Physics. 18: 17-22. DOI: 10.1063/1.523127 |
0.302 |
|
| 1972 |
Gilmore R. Geometry of symmetrized states Annals of Physics. 74: 391-463. DOI: 10.1016/0003-4916(72)90147-9 |
0.312 |
|
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