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The California State University

Publications

  • Kevrekidis, P. G, D. J Frantzeskakis and R. Carreter-González. 2008. Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment. Heidelberg: Springer Verlag.

  • Talley, J., C. Chong, R. Carretero-González and B. Malomed. 2006. Multistable Solutions of the Cubic-Quintic Discrete Nonlinear Schrödinger Equation. Physica D 216: 77-89.

  • Porter, M., P. Kevrekidis, R. Carretero-González and D. Frantzeskakis. 2006. Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices. Phys. Lett. A 352: 210-215.

  • Carretero-González, R., P. Kevrekidis, D. Frantzeskakis and B. Malomed. 2005. Optical Manipulation of Matter Waves. In SPIE Annual Meeting, 59300L.1-59300L.11. Proc. SPIE Int. Soc. Opt. Eng.

  • Carretero-González, R., P. Kevrekidis, B. Malomed and D. Frantzeskakis. 2005. Three-Dimensional Nonlinear Lattices: From Oblique Vortices and Octupoles to Discrete Diamonds and Vortex Cubes. Phys. Rev. Lett 94: 203901.1-203901.4.

  • Carretero-González, R., P. Kevrekidis, I. Kevrekidis, D. Maroudas, G. Theocharis and D. Frantzeskakis. 2005. A Parrinello-Rahman Approach to Vortex Lattices. Physical Letters A 341: 128-134.

  • Kevrekidis, P., D. Frantzeskakis, G. Theocharis, R. Carretero-González and B. Malomed. 2005. Dark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates. Math. Comput. Simulat 69: 537-552.

  • Budd, C., R. Carretero-González and R. Russell. 2005. Precise computations of chemotactic collapse using moving mesh methods. J. Comp Phys 202: 463-487.

  • Kevrekidis, P., B. Malomed, D. Frantzeskakis, A. Bishop, H. Nistakakis and R. Carretero-González. 2005. Domain Walls of Single-Component Bose-Einstein Condensates in External Potentials. Math. Comput. Simulat 69: 334-345.

  • Theocharis, G., D. Frantzeskakis, R. Carretero-González, P. Kevrekidis and B. Malomed. 2005. Controlling the motion of dark solitons by means of periodic potentials: Application to Bose-Einstein condensates in optical lattices. Physical Review E 71: 017602.1-017602.4.

  • Herring, G., D. Frantzeskakis, P. Kevrekidis, R. Carretero-González, B. Malomed and A. Bishop. 2005. Statics, Dynamics and Manipulation of Bright Matter-wave Solitons in Optical Lattices. Physical Review A 71: 023614.1-023614.8.

  • Porter, M., R. Carretero-González, P. Kevrekidis and B. Malomed. 2005. Lattice Dynamics of Bose-Einstein Condensates. Chaos 15: 015115.1-015115.9.

  • Herring, G., P. Kevrekidis, R. Carretero-González, B. Malomed, D. Frantzeskakis and A. Bishop. 2005. Trapped bright matter-wave solitons in the presence of localized inhomogeneities. Phys. Let. A 345: 144-153.

  • Longhini, P., N. Renz, A. Palacios, R. Carretero-González, V. In, A. Kho, B. Meadows and J. Neff. 2005. Multifrequency Synthesis Using two Coupled Nonlinear Oscillator Arrays. Phys. Rev. E 72: 026211.1-026211.9.

  • Kevrekidis, P., H. Susanto, R. Carretero-González, B. Malomed and D. Frantzeskakis. 2005. Vector solitons with an embedded domain wall. Phys. Rev. E 72: 066604.1-066604.11.

  • Kevrekidis, P., D. Frantzeskakis, R. Carretero-González, B. Malomed and A. Bishop. 2005. Discrete Solitons and Vortices on Anisotropic Lattices. Phys. Rev. E 72: 046613.1-046613.9.

  • Kevrekidis, P., B. Malomed, D. Frantzeskakis and R. Carretero-González. 2005. Higher-Order Vortices in Nonlinear Dynamical Lattices. In Focus in Soliton Research, edited by , 137-164. Nova Science Publishers.

  • Kevrekidis, P., R. Carretero-González, D. Frantzeskakis and I. Kevrekidis. 2004. Vortices in Bose-Einstein Condensates: Some Recent Developments. Mod. Phys. Lett. B 18: 1481-1505.

  • Kevrekidis, P., G. Theocharis, D. Fantzeskakis, B. Malomed and R. Carretero-González. 2004. Families of matter-waves in two-component Bose-Einstein condensates. Eur. Phys. J. D: At. Mol. Opt. Phys 28: 181-185.

  • Kevrekidis, P., B. Malomed, D. Frantzeskakis and R. Carretero-González. 2004. Three-dimensional solitary waves and vortices in a discrete nonlinear Schrödinger lattice. Physical Review Letters 93: 080403.1-080403.4.

  • Cao, W., R. Carretero-González, W. Huang and R. Russell. 2003. Variational mesh adaptation methods for axisymmetrical problems with applications to blowup. SIAM Journal on Numerical Analysis 41 (1): 235-257.

  • Kevrekidis, P., R. Carretero-González, G. Theocharis, D. Frantzeskakis and B. Malomed. 2003. Vortices in a Bose-Einstein condensate confined by an optical lattice. J. Phys. B: At. Mol. Phys 36: 3467-3476.

  • Kevrekidis, P., R. Carretero-González, G. Theocharis, D. Frantzeskakis and B. Malomed. 2003. Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice. Physical Review A 68: 035602.1-035602.4.

  • Carretero-González, R. and K. Promislow. 2002. Localized breathing solutions for Bose-Einstein condensates in periodic traps. Physical Review A 66: 33610.1-33610.6.

  • H. Momiji, H., S. Bishop, R. Carretero-González and A. Warren. 2002. Modelling desert dune fields based on discrete dynamics. Discrete Dynamics in Nature and Society 7: 7-17.

  • Bronski, J., L. Carr, R. Carretero-González, B. Deconinck and J. Kutz. 2001. Stability of attractive Bose-Einstein condensates in a periodic potential. Physical Review E 5: 56615.1-56615.9.

  • Momiji, H., R. Carretero-González, S. Bishop and A. Warren. 2000. Simulation of the effect of wind speedup in the formation of transverse dune fields. Earth Surface Processes and Landforms 25: 905-918.

  • Ørstavik, S., R. Carretero-González and J. Stark. 2000. Quasi-diagonal approach to the estimation of Lyapunov spectra for spatiotemporal systems from multivariate time series. Physical Review E 62: 6429-6439.

  • Ørstavik, S., R. Carretero-González and J. Stark. 2000. Estimation of intensive quantities in spatio-temporal systems from time-series. Physica D 147: 202-220.

  • Carretero-González, R., D. Arrowsmith and F. Vivaldi. 2000. One-dimensional dynamics for travelling fronts in coupled map lattices. Physical Review E 61: 1329-1336.

  • Ørstavik, S., R. Carretero-González, J. Huke, D. Broomhead and J. Stark. 1999. Thermodynamic limit from small lattices of coupled maps. Physical Review Letters 18: 3633-3636.

  • Ørstavik, S., R. Carretero-González and J. Startk. 1999. Scaling and interleaving of sub-system Lyapunov exponents for spatio-temporal systems. Chaos 9: 466-482.

  • Carretero-González, R. 1997. Low dimensional travelling interfaces in coupled map lattices. Int. J. Bifurcation and Chaos 7: 2745-2754.

  • Carretero-González, R., D. Arrowsmith and F. Vivaldi. 1997. Mode-locking in coupled map lattices. Physica D 103: 381-403.

  • Carretero-González, R., H. Núñez-Yépez and A. Salas-Brito. 1994. Regular and chaotic behaviour in an extensible pendulum. European Journal Physics 15: 139-148.

  • Carretero-González, R., H. Núñez-Yépez and A. Salas-Brito. 1994. Evidence of chaotic behaviour in Jordan-Brans-Dicke cosmology. Physics Letters A 188: 48-54.

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Grants

  • Modeling, Analysis, Computation and Experiments of two-Component Bose-Einstein Condensates.

  • Topological Excitations in Bose-Einstein Condensates: Existence, Stability, Dynamics and Interactions.

  • Vortex Lattices: From Isolated Structures to Molecular Crystals.

  • Intrinsic localized vibrations in chains of light/matter solitons.

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Positions & Honors

  • 2008 – Recipient of the "Outstanding Faculty Member for the 2007-2008 Academic Year for the Computational Science Program", College of Sciences, SDSU

  • 2007 – Recipient of the 2007 Northrop Grumman "Excellence in Teaching Award", Northrop Grumman

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