Sergio Serrano Pastor

Associate Professor in Applied Mathematics

Department of Applied Mathematics
Universidad de Zaragoza, Spain
Escuela de Ingeniería y Arquitectura
C/María de Luna 3, 50018-Zaragoza, SPAIN

sserrano@unizar.es

+34 976762011

Publications

  1. D. Wilczak, S. Serrano and R. Barrio. Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof, SIAM Journal on Applied Dynamical Systems 15 1 (2016) 356–390. doi 10.1137/15M1039201
  2. R. Barrio, M. Rodríguez, S. Serrano and A. Shilnikov. Mechanism of quasi-periodic lag jitter in bursting rhythms by a neuronal network, EPL (Europhysics Letters) 112 3 (2015) 38002.
  3. R. Barrio, M. Rodríguez, S. Serrano and A. Shilnikov. Mechanism of quasi-periodic lag jitter in bursting rhythms by a neuronal network, EPL (Europhysics Letters) 112 3 (2015) 38002. doi 10.1209/0295-5075/112/38002
  4. R. Barrio, M. Á. Martínez, S. Serrano and D. Wilczak. When chaos meets hyperchaos: 4D Rössler model, Physics Letters A 379 38 (2015) 2300–2305.
  5. R. Barrio, M. Lefranc, M. Á. Martínez and S. Serrano. Symbolic dynamical unfolding of spike-adding bifurcations in chaotic neuron models, EPL (Europhysics Letters) 109 2 (2015) 20002.
  6. R. Barrio, F. Blesa and S. Serrano. Unbounded dynamics in dissipative flows: Rössler model, Chaos: An Interdisciplinary Journal of Nonlinear Science 24 2 (2014) 024407.
  7. R. Barrio, M. Á. Martínez, S. Serrano and A. Shilnikov. Macro-and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons, Chaos: An Interdisciplinary Journal of Nonlinear Science 24 2 (2014) 023128.
  8. R. Barrio, F. Blesa, S. Serrano and A. Shilnikov. Homoclinic Spirals: Theory and Numerics, In Progress and Challenges in Dynamical Systems, 2013.
  9. M. Á. Martínez, R. Barrio and S. Serrano. Finding periodic orbits in the Hindmarsh-Rose neuron model, In Progress and Challenges in Dynamical Systems, 2013.
  10. R. Barrio, H. Jiang and S. Serrano. A general condition number for polynomials, SIAM Journal on Numerical Analysis 51 2 (2013) 1280–1294. doi 10.1137/120864581
  11. S. Serrano, R. Barrio, A Dena and M Rodríguez. Crisis curves in nonlinear business cycles, Communications in nonlinear Science and Numerical simulation 17 2 (2012) 788–794.
  12. S. Serrano, R. Barrio, Á. Dena and M. Rodríguez. Crisis curves in nonlinear business cycles, Communications in nonlinear Science and Numerical simulation 17 2 (2012) 788–794.
  13. R. Barrio, F. Blesa and S. Serrano. Behavior patterns in multiparametric dynamical systems: Lorenz model, International Journal of Bifurcation and Chaos 22 6 (2012) 1230019.
  14. R. Barrio, F. Blesa and S. Serrano. Topological changes in periodicity hubs of dissipative systems, Physical review letters 108 21 (2012) 214102. doi 10.1103/PhysRevLett.108.214102
  15. Á. Dena, M. Rodríguez, S. Serrano and R. Barrio. High-precision continuation of periodic orbits, Abstract and Applied Analysis 2012 (2012) 716024. doi 10.1155/2012/716024
  16. R. Barrio, M. Rodríguez, A. Abad and S. Serrano. Uncertainty propagation or box propagation, Mathematical and Computer Modelling 54 11 (2011) 2602–2615. doi 10.1016/j.mcm.2011.06.036
  17. R. Barrio, F. Blesa, A. Dena and S. Serrano. Qualitative and numerical analysis of the Rössler model: Bifurcations of equilibria, Computers & Mathematics with Applications 62 11 (2011) 4140–4150.
  18. R. Barrio, F. Blesa, S. Serrano and A. Shilnikov. Global organization of spiral structures in biparameter space of dissipative systems with Shilnikov saddle-foci, Physical Review E 84 3 (2011) 035201.
  19. R. Barrio, F. Blesa and S. Serrano. Bifurcations and chaos in Hamiltonian systems, International Journal of Bifurcation and Chaos 20 5 (2010) 1293–1319. doi 10.1142/S0218127410026496
  20. R. Barrio and S. Serrano. Sobre el método de Variación de los Parámetros, Boletín ROA 1 (2009) 25–31.
  21. R. Barrio, F. Blesa and S. Serrano. Bifurcations and safe regions in open Hamiltonians, New Journal of Physics 11 5 (2009) 053004.
  22. R. Barrio, F. Blesa and S. Serrano. Qualitative analysis of the Rössler equations: Bifurcations of limit cycles and chaotic attractors, Physica D: Nonlinear Phenomena 238 13 (2009) 1087–1100. doi j.physd.2009.03.010
  23. R. Barrio, F. Blesa and S. Serrano. Periodic, escape and chaotic orbits in the Copenhagen and the (n+1)-body ring problems, Communications in Nonlinear Science and Numerical Simulation 14 5 (2009) 2229–2238.
  24. R. Barrio and S. Serrano. Bounds for the chaotic region in the Lorenz model, Physica D: Nonlinear Phenomena 238 16 (2009) 1615–1624.
  25. R. Barrio, F. Blesa and S. Serrano. Qualitative analysis of the (N+1)-body ring problem, Chaos, Solitons & Fractals 36 4 (2008) 1067–1088.
  26. R. Barrio, F. Blesa and S. Serrano. Fractal structures in the Henon-Heiles hamiltonian, EPL (Europhysics Letters) 82 1 (2008) 10003.
  27. R. Barrio and S. Serrano. Performance of perturbation methods on orbit prediction, Mathematical and Computer Modelling 48 3 (2008) 594–600.
  28. R. Barrio, F. Blesa and S. Serrano. Is there chaos in Copenhagen problem?, Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 30 (2007) 51–65.
  29. R. Barrio and S. Serrano. A three-parametric study of the Lorenz model, Physica D: Nonlinear Phenomena 229 1 (2007) 43–51.
  30. R. Barrio and S. Serrano. Modifications of the method of variation of parameters, Computers & Mathematics with Applications 51 3-4 (2006) 451–466.
  31. R. Barrio, B Melendo and S. Serrano. Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces I: algorithms, Journal of computational and applied mathematics 181 2 (2005) 280–298.
  32. R. Barrio and S. Serrano. Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces II: numerical stability, Journal of computational and applied mathematics 181 2 (2005) 299–320.
  33. R. Barrio and S. Serrano. High-order recurrences satisfied by classical orthogonal polynomials, Applied mathematics letters 17 6 (2004) 667–670.
  34. R. Barrio, B Melendo and S. Serrano. On the numerical evaluation of linear recurrences, Journal of computational and applied mathematics 150 1 (2003) 71–86.
  35. R. Barrio, B. Melendo and S. Serrano. Some remarks on the evaluation of linear recurrences, In VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca), 17-18 de septiembre de 2001, 2003.