All Stories

  1. Periodic Orbits of MAX and MIN Multistate Networks

    Article • Mathematical Methods in the Applied Sciences, June 2025, Wiley

    Jose C. Valverde

  2. Computation of fixed points in MAX and MIN multi-state networks

    Article • Communications in Nonlinear Science and Numerical Simulation, June 2025, Elsevier

    Jose C. Valverde

  3. Exact enumeration of fixed points of AND-OR-NAND-NOR Boolean networks

    Article • Chaos Solitons & Fractals, June 2025, Elsevier

    Jose C. Valverde

  4. Multi-state sequential Boolean networks: An analysis of its combinatorial dynamics

    Article • Applied Mathematics and Computation, March 2025, Elsevier

    Jose C. Valverde

  5. Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species

    Article • Filomat, January 2025, National Library of Serbia

    Jose C. Valverde

  6. Dynamics of synchronous Boolean networks with non-binary states

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, July 2024, American Institute of Physics

    Jose C. Valverde

  7. A generalized model for the population dynamics of a two stage species with recruitment and capture using a nonstandard finite difference scheme

    Article • Computational and Applied Mathematics, January 2024, Springer Science + Business Media

    Jose C. Valverde

  8. Symmetrizable Boolean networks

    Article • Information Sciences, May 2023, Elsevier

    Jose C. Valverde

  9. Fuzzy parallel dynamical systems on Zadeh operators

    Article • Mathematical Methods in the Applied Sciences, February 2023, Wiley

    Jose C. Valverde

  10. Fixed points in generalized parallel and sequential dynamical systems induced by a minterm or maxterm Boolean functions

    Article • Journal of Computational and Applied Mathematics, July 2022, Elsevier

    Jose C. Valverde

  11. Enumerating periodic orbits in sequential dynamical systems over graphs

    Article • Journal of Computational and Applied Mathematics, May 2022, Elsevier

    Jose C. Valverde

  12. Preface of the “Symposium on Boolean Networks Models in Science and Engineering”

    Article • January 2022, American Institute of Physics

    Jose C. Valverde

  13. Existence, coexistence and uniqueness of fixed points in parallel and sequential dynamical systems over directed graphs

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2021, Elsevier

    Jose C. Valverde

  14. Dynamics of infectious diseases: A review of the main biological aspects and their mathematical translation

    Article • Applied Mathematics and Nonlinear Sciences, October 2021, De Gruyter

    Jose C. Valverde

  15. Coexistence of Periods in Parallel and Sequential Boolean Graph Dynamical Systems over Directed Graphs

    Article • Mathematics, October 2020, MDPI AG

    Jose C. Valverde

  16. Counting Periodic Points in Parallel Graph Dynamical Systems

    Article • Complexity, September 2020, Wiley

    Jose C. Valverde

  17. Nonstandard Finite Difference Schemes for the Study of the Dynamics of the Babesiosis Disease

    Article • Symmetry, September 2020, MDPI AG

    Jose C. Valverde

  18. On the Periodic Structure of Parallel Dynamical Systems on Generalized Independent Boolean Functions

    Article • Mathematics, July 2020, MDPI AG

    Jose C. Valverde

  19. Boolean Networks and Their Applications in Science and Engineering

    Article • Complexity, January 2020, Hindawi Publishing Corporation

    Jose C. Valverde

  20. Periods in XOR parallel dynamical systems over directed dependency graphs

    Article • Journal of Computational and Applied Mathematics, January 2020, Elsevier

    Jose C. Valverde

  21. A predictive spatio-temporal model for bovine Babesiosis epidemic transmission

    Article • Journal of Theoretical Biology, November 2019, Elsevier

    Jose C. Valverde

  22. Dynamical attraction in parallel network models

    Article • Applied Mathematics and Computation, November 2019, Elsevier

    Jose C. Valverde

  23. Feedback control variables to restrain the Babesiosis disease

    Article • Mathematical Methods in the Applied Sciences, August 2019, Wiley

    Jose C. Valverde

  24. Attractors and transient in sequential dynamical systems

    Article • International Journal of Computer Mathematics, August 2019, Taylor & Francis

    Jose C. Valverde

  25. Solution to the predecessors and Gardens-of-Eden problems for synchronous systems over directed graphs

    Article • Applied Mathematics and Computation, April 2019, Elsevier

    Jose C. Valverde

  26. Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems

    Article • Complexity, March 2019, Hindawi Publishing Corporation

    Jose C. Valverde

  27. Predecessors and Garden-of-Eden configurations in parallel dynamical systems on maxterm and minterm Boolean functions

    Article • Journal of Computational and Applied Mathematics, March 2019, Elsevier

    Jose C. Valverde

  28. Maximum number of periodic orbits in parallel dynamical systems

    Article • Information Sciences, November 2018, Elsevier

    Jose C. Valverde

  29. CONTROL STRATEGIES of HEPATITIS B WITH THREE CONTROL VARIABLES

    Article • Journal of Biological Systems, March 2018, World Scientific Pub Co Pte Lt

    Jose C. Valverde

  30. On periods and equilibria of computational sequential systems

    Article • Information Sciences, October 2017, Elsevier

    Jose C. Valverde

  31. A discrete epidemic model for bovine Babesiosis disease and tick populations

    Article • Open Physics, June 2017, De Gruyter

    Jose C. Valverde

  32. Biological conservation through marine protected areas in the presence of alternative stable states

    Article • Mathematical Biosciences, April 2017, Elsevier

    Jose C. Valverde

  33. On the Periods of Parallel Dynamical Systems

    Article • Complexity, January 2017, Hindawi Publishing Corporation

    Jose C. Valverde

  34. Topological Equivalences for One-parameter Bifurcations of Scalar Maps

    Article • Journal of Nonlinear Science, November 2016, Springer Science + Business Media

    Jose C. Valverde

  35. Discrete time population dynamics of a two-stage species with recruitment and capture

    Article • Chaos Solitons & Fractals, April 2016, Elsevier

    Jose C. Valverde

  36. Track and Workshop Program Chair Messages

    Article • January 2016, Institute of Electrical & Electronics Engineers (IEEE)

    Jose C. Valverde, Neeta Nain

  37. Border Collision Bifurcations in a Generalized Model of Population Dynamics

    Article • Discrete Dynamics in Nature and Society, January 2016, Wiley

    Jose C. Valverde

  38. Parallel Dynamical Systems over Graphs and Related Topics: A Survey

    Article • Journal of Applied Mathematics, January 2015, Wiley

    Jose C. Valverde

  39. General functional response and recruitment in a predator-prey system with capture on both species

    Article • Mathematical Methods in the Applied Sciences, September 2014, Wiley

    Jose C. Valverde

  40. Population dynamics of a two-stage migratory species with predation and capture

    Article • Nonlinear Analysis Real World Applications, April 2014, Elsevier

    Jose C. Valverde

  41. Parallel dynamical systems over special digraph classes

    Article • International Journal of Computer Mathematics, October 2013, Taylor & Francis

    Jose C. Valverde

  42. Updating method for the computation of orbits in parallel and sequential dynamical systems

    Article • International Journal of Computer Mathematics, September 2013, Taylor & Francis

    Jose C. Valverde

  43. Parallel discrete dynamical systems on independent local functions

    Article • Journal of Computational and Applied Mathematics, January 2013, Elsevier

    Jose C. Valverde

  44. Parallel dynamical systems over directed dependency graphs

    Article • Applied Mathematics and Computation, October 2012, Elsevier

    Jose C. Valverde

  45. Notes on “Modeling the dynamics of concurrent computing systems”

    Article • Computers & Mathematics with Applications, August 2012, Elsevier

    Jose C. Valverde

  46. Population dynamics of a two‐stage species with recruitment

    Article • Mathematical Methods in the Applied Sciences, June 2012, Wiley

    Jose C. Valverde

  47. Parallel discrete dynamical systems on maxterm and minterm Boolean functions

    Article • Mathematical and Computer Modelling, February 2012, Elsevier

    Jose C. Valverde

  48. A mathematical model for Babesiosis disease in bovine and tick populations

    Article • Mathematical Methods in the Applied Sciences, December 2011, Wiley

    Jose C. Valverde

  49. Discrete Dynamical Systems for encoding Concurrent Computing Systems

    Article • July 2010, Institute of Electrical & Electronics Engineers (IEEE)

    Jose C. Valverde

  50. Local bifurcations of continuous dynamical systems under higher order conditions

    Article • Applied Mathematics Letters, March 2010, Elsevier

    Jose C. Valverde

  51. Bifurcations of continuous dynamical systems under extreme and new transversality conditions

    Article • Applied Mathematics and Computation, April 2009, Elsevier

    Jose C. Valverde

  52. LOCAL STABILITY OF CONTINUOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF NONHYPERBOLIC EQUILIBRIA

    Article • International Journal of Bifurcation and Chaos, March 2009, World Scientific Pub Co Pte Lt

    Jose C. Valverde

  53. On the changes of periodicities in a piecewise linear rotation model

    Article • Applied Mathematics and Computation, December 2007, Elsevier

    Jose C. Valverde

  54. Simplest Normal Forms of Hopf–Neimark–Sacker Bifurcations

    Article • International Journal of Bifurcation and Chaos, July 2003, World Scientific Pub Co Pte Lt

    Jose C. Valverde

  55. Cusp and generalized flip bifurcations under higher degree conditions

    Article • Nonlinear Analysis, January 2003, Elsevier

    Jose C. Valverde

  56. Structural stability under conditions of nonhyperbolicity

    Article • Computers & Mathematics with Applications, March 2001, Elsevier

    Jose C. Valverde

  57. Topological Conjugations of Normal Forms in Bifurcations

    Article • Acta Mathematica Hungarica, August 2000, Springer Science + Business Media

    Jose C. Valverde

  58. Bifurcations under Nondegenerated Conditions of Higher Degree and a New Simple Proof of the Hopf–Neimark–Sacker Bifurcation Theorem

    Article • Journal of Mathematical Analysis and Applications, September 1999, Elsevier

    Jose C. Valverde