\u2022 Dynamical Systems
\n\u2022 Discrete Mathematics\/Boolean networks
\n\u2022 Biomathematics<\/p>\n
Honors and Awards<\/strong><\/p>\n \u2022 Honorable Mention at the \u201cSecond International Competition for University Students of Mathematics\u201d, Tempus European Project, Plovdiv (BULGARY), 1995. Publications<\/strong><\/p>\n Refereed\/indexed articles (73)<\/em><\/p>\n 1<\/strong>. F. Balibrea, J.C. Valverde, Bifurcations under nondegenerated conditions of higher degree and a new simple proof of the Hopf-Neimark-Sacker bifurcation theorem, J. Math. Anal. Appl. 237 (1999) 93-105.<\/a> Recent Research Grants and Contracts<\/strong><\/p>\n \u2022 University of Castilla-La Mancha and the \u201cERDF A way of making Europe\u201d within the Operational Program 2021\u20132027 through the project 2022-GRIN-34473, 04\/01\/23-03\/31\/25, Title: \u00abDynamical Systems\u00bb. Role: Applicant\/Principal Investigator \u2022 Regional Government of Castilla-La Mancha and the \u201cERDF A way of making Europe\u201d within the Operational Program 2021\u20132027 through the project SBPLY\/21\/180501\/000174, 09\/30\/2022-08\/31\/25, Title: \u00abAnalysis of Science and Engineering Models\u00bb. Role: Applicant\/Principal Investigator Ph.D. Students (5)<\/strong><\/p>\n 1. A. Martinez, Polytechnic University of Valencia, SPAIN. \u00abAnalysis of non-standard bifurcation conditions for continuous dynamical systems\u00bb, July 2010. Presentations<\/strong><\/p>\n Invited talks<\/em><\/p>\n \u2022 International conference: Chaos and Dynamics in Biological Networks, France, June 2008 University Seminars<\/em><\/p>\n \u2022 University of Catilla-La Mancha, June 2000. International Conferences<\/em><\/p>\n \u2022 III Iberoamerican Conference on Topology and its Applications, April 1999. JCR-Journal Refereeing<\/strong><\/p>\n \u2022 IEEE Transactions on Cybernetics En esta web se podr\u00e1n encontrar todos aquellos aspectos relacionados con mi actividad investigadora que puedan resultar de inter\u00e9s. \\ In this website, you can find all those aspects related to my research activities that may be of interest. Research Specialties and interests \u2022 Dynamical Systems \u2022 Discrete Mathematics\/Boolean networks \u2022 Biomathematics Honors and Awards […]<\/p>\n","protected":false},"author":16,"featured_media":0,"parent":0,"menu_order":3,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-18","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.uclm.es\/josevalverde\/wp-json\/wp\/v2\/pages\/18","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.uclm.es\/josevalverde\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.uclm.es\/josevalverde\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.uclm.es\/josevalverde\/wp-json\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.uclm.es\/josevalverde\/wp-json\/wp\/v2\/comments?post=18"}],"version-history":[{"count":33,"href":"https:\/\/blog.uclm.es\/josevalverde\/wp-json\/wp\/v2\/pages\/18\/revisions"}],"predecessor-version":[{"id":586,"href":"https:\/\/blog.uclm.es\/josevalverde\/wp-json\/wp\/v2\/pages\/18\/revisions\/586"}],"wp:attachment":[{"href":"https:\/\/blog.uclm.es\/josevalverde\/wp-json\/wp\/v2\/media?parent=18"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\u2022 Award for the Best Work in Science, 2nd Doctoral Meeting of the region\/state of Castilla-La Mancha (SPAIN), 2012.<\/p>\n
\n2<\/strong>. J.C. Valverde, Topological Conjugations of Normal Forms in Bifurcations, Acta Math. Hungar 88 (2000) 113-121.<\/a>
\n3<\/strong>. F. Balibrea, J.C. Valverde, Structural stability under conditions of non-hyperbolicity, Comput. Math. Appl. 41 (2001) 757-768<\/a>
\n4<\/strong>. F. Balibrea, J.C. Valverde, Extreme degenerations for the simplest generic bifurcations and new transversally conditions, Discrete and Continuous Time Dynamical Systems 6 (2002) 22-30.<\/a>
\n5<\/strong>. J.A. Aledo, J.C. Valverde, Applications of matrices and graphs in the Study of fuzzy relations; Bulletin of the Society Puig Adam 61 (2002) 59\u201472<\/a>
\n6<\/strong>. F. Balibrea, J.C. Valverde, Topological normal forms of higher degree for the simplest bifurcations, Applied General Topology 2 (2002) 155-164.<\/a>
\n7<\/strong>. J.C. Valverde et al, Instrumental versatility of number e, Bulletin of the Society Puig Adam 65 (2003) 77\u201493.<\/a>
\n8<\/strong>. F. Balibrea, J.C. Valverde, Cusp and generalized flip bifurcations under higher degree conditions, Nonlinear Anal. Theor. 52 (2003) 405-419.<\/a>
\n9<\/strong>. J.C. Valverde, F.L. Pelayo, J.A. Martinez, J.J. Miralles, Symbolic mathematical computing of bifurcations in dynamical Systems, Journal of Computational Methods in Sciences and Engineering 4 (2004) 115-123.<\/a>
\n10<\/strong>. J.C. Valverde, F.L. Pelayo, J.A. Martinez, J.J. Miralles, Stability of continuous systems by Routh-Hurwitz and Mathematica, Journal of Computational Methods in Sciences and Engineering 4 (2004) 127-136.<\/a>
\n11<\/strong>. J.C. Valverde, Simplest normal forms of Hopf-Neimark-Sacker bifurcations, Int. J. Bif. Chaos. 13 (2003) 1831-1839.<\/a>
\n12<\/strong>. J.C. Valverde, L. Gardini, On the changes of periodicities in a piecewise linear rotation model. Appl. Math. Comput. 194 (2007) 381\u2014388.<\/a>
\n13<\/strong>. F. Balibrea, A. Mart\u00ednez, J.C. Valverde, Local stabilility of contiuous dynamical systems in presence of non-hyperbolic equilibria, Int. J. Bif. Chaos 19 (2009) 1051\u20141057.<\/a>
\n14<\/strong>. J.C. Valverde, Near a local topological equivalence when a quasi-center like point appears, Topology Appl. 156 (2009) 3016–3020.<\/a>
\n15<\/strong>. F. Balibrea, A. Mart\u00ednez, J.C. Valverde, Local bifurcations of continuous dynamical systems under higher order conditions, Appl. Math. Lett. 23 (2010) 230–234.<\/a>
\n16<\/strong>. A Mart\u00ednez, J.C. Valverde, Bifurcations of continuous dynamical systems under extreme and new transversality conditions, Appl. Math. Comput. 210 (2009) 33\u201438<\/a>
\n17<\/strong>. J.L. Garc\u00eda, F.L. Pelayo, J.C. Valverde, Modeling dynamics of concurrent computing systems, Comput. Math. Appl. 61 (2011) 1402\u20141406.<\/a>
\n18<\/strong>. D. Aranda, D.Y. Trejos, J.C. Valverde, R. Villanueva, Modeling dynamics of Babesiosis disease in bovines and ticks populations, Math. Methods Appl. Sci. 35 (2012) 249\u2014256.<\/a>
\n19<\/strong>. J.A. Aledo, S. Mart\u00ednez, F.L. Pelayo, J.C. Valverde, Parallel dynamical systems on maxterms and minterms Boolean functions, Math. Comput. Model. 55 (2012) 666\u2014671.<\/a>
\n20<\/strong>. F.L. Pelayo, J.C. Valverde, Notes on modeling dynamics of concurrent computing systems, Comput. Math. Appl. 64 (2012) 61\u201463.<\/a>
\n21<\/strong>. A.M. Atehortua, L.M. Ladino, J.C. Valverde, Dsamala toolbox: software for the analysis and simulation of discrete, continuous and stochastic dynamical systems, Ing. Invest. 32 (2012) 51\u201457.<\/a>
\n22<\/strong>. J.A. Aledo, S. Martinez, J.C. Valverde, Parallel dynamical systems over directed dependency graphs, Appl. Math. Comput. 219 (2012) 1114\u20141119.<\/a>
\n23<\/strong>. J.A. Aledo, S. Martinez, J.C. Valverde, Parallel dynamical systems on independent local functions, J. Comput. Appl. Math. 237 (2013) 335\u2014339.<\/a>
\n24<\/strong>. L.M. Ladino, J.C. Valverde, Population dynamics of a two-stage species with recruitment, Math. Methods Appl. Sci. 36 (2013) 722-\u2013729.<\/a>
\n25<\/strong>. S. Martinez, J.C. Valverde, Location models applied to real-world problems, Modeling in Science and Education Learning, 6 (2) (2013) 91\u2014104.<\/a>
\n26<\/strong>. J.A. Aledo, S. Martinez, J.C. Valverde, Updating method for the computation of orbits in parallel dynamical systems, Int. J. Comput. Math 90 (9) (2013) 1796\u20141808.<\/a>
\n27<\/strong>. J.A. Aledo, S. Martinez, J.C. Valverde, Parallel dynamical systems over special digraph classes, Int. J. Comput. Math 90 (10) (2013) 2039\u20142048.<\/a>
\n28<\/strong>. A.M. Atehortua, L.M. Ladino, J.C. Valverde, Population dynamics of a two-stage migratory species with predation and capture, Nonlinear Anal.-Real World Appl. 16 (2014), 27\u201439. <\/a>
\n29<\/strong>. A. Sadiq, F. Ahmad, S.A. Khan, J.C. Valverde. Modeling and analysis of departure routine in air traffic control based on Petri nets, Neural Comput. Appl., 25(5) (2014) 1099\u20141109<\/a>
\n30<\/strong>. L.M. Ladino, E.I. Sabogal, J.C. Valverde, General functional response and recruitment in a predator-prey system with capture on both species, Math. Meth. Appl. Sci., 38(13) (2015) 2876–2887. doi: 10.1002\/mma.3271.<\/a>
\n31<\/strong>. J.A. Aledo, S. Martinez, J.C. Valverde, Graph dynamical systems with general Boolean states, Appl. Math. Inf. Sci. 9(4) (2015) 1803–1808. doi: 10.12785\/amis\/090417.<\/a>
\n32<\/strong>. J.A. Aledo, S. Martinez, J.C. Valverde, Parallel dynamical systems over graphs and related topics: A survey, J. Appl. Maths 2015 (2015), Article ID 594294, 14 pages. doi: 10.1155\/2015\/594294.<\/a>
\n33<\/strong>. L.M. Ladino, E.I. Sabogal, J.C. Valverde, Optimal control of a bioeconomic model for a two-stage species with recruitment, Appl. Math. Inf. Sci. 9(5) (2015) 2485–2492. doi: 10.12785\/amis\/090532.<\/a>
\n34<\/strong>. L.M. Ladino, C. Mammana, E. Michetti, J.C. Valverde, Discrete time population dynamics of a two-stage species with recruitment and capture. Chaos, Solitons and Fractals 85 (2016) 143-150. doi: 10.1016\/j.chaos.2016.01.032.<\/a>
\n35<\/strong>. L.M. Ladino, C. Mammana, E. Michetti, J.C. Valverde, Border collision bifurcations in a generalized model of population dynamics, Discrete Dynamics in Nature and Society, vol. 2016, Article ID 9724139, 13 pages, 2016. doi:10.1155\/2016\/9724139.<\/a>
\n36<\/strong>. S.A. Khan, D. He, J.C. Valverde, Pattern recognition in bioinformatics, BioMed Research International, vol. 2016, Article ID 5284169, 2 pages, 2016. doi:10.1155\/2016\/5284169.<\/a>
\n37<\/strong>. F. Balibrea, H.M. Oliveira, J.C. Valverde, Topological equivalences for one-parameter bifurcations of scalar maps, J Nonlinear Sci. 27 (2) (2017) 661-685. doi: 10.1007\/s00332-016-9347-0.<\/a>
\n38<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, On periods of parallel dynamical Systems, Complexity, Volume 2017, Article ID 7209762, 6 pages, doi: 10.1155\/2017\/7209762.<\/a>
\n39<\/strong>. B. Ghosh, D. Pal, T.K. Kar , J.C. Valverde, Biological conservation through marine protected areas in the presence of alternative stable states, Math. Biosci. 286 (2017) 49\u201357 doi: 10.1016\/j.mbs.2017.02.004<\/a>
\n40<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, On periods and equilibria of sequential dynamical systems, Inf. Sci. (2017), doi: 10.1016\/j.ins.2017.05.002.<\/a>
\n41<\/strong>. D.F. Aranda, D.Y. Trejos, J.C. Valverde, A discrete epidemic model for bovine Babesiosis disease and tick populations, Open Phys. 15 (2017) 360-369, doi: 10.1515\/phys-2017-0040.<\/a>
\n42<\/strong>. S. Cuomo, A. Galletti, L. Marcellino, J.C. Valverde, NAMDAC Numerical Algorithms and Methods for Data Analysis and Classification, Proceedings – 12th International Conference on Signal Image Technology and Internet-Based Systems, SITIS 2016, 21 April 2017, Article number 7907433, Page xxv, doi: 10.1109\/SITIS.2016.6.<\/a>
\n43<\/strong>. M.A. Khan, S. Islam, J.C. Valverde, S.A. Khan, Control Strategies of Hepatitis b with Three Control Variables, J. Biol. Syst. 26 (1) (2018) 1-21. doi:10.1142\/S0218339018500018.<\/a>
\n44<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, \u00abPredecessors and Gardens of Eden in sequential dynamical systems over directed graphs,\u00bb Applied Mathematics and Nonlinear Sciences 3(2) (2018) 593\u2013602, doi: 10.2478\/AMNS.2018.2.00046.<\/a>
\n45<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, Maximum number of periodic orbits in parallel dynamical systems, Inf. Sci. 468 (2018) 63\u201371, doi: 10.1016\/j.ins.2018.08.041.<\/a>
\n46<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, Predecessors and Garden-of-Eden configurations in parallel dynamical systems on maxterm and minterm Boolean functions, J. Comput. Appl. Math. 348 (2019) 26\u201333, doi: 10.1016\/j.cam.2018.08.015.<\/a>
\n47<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, Solution to the predecessors and Gardens-of-Eden problems for synchronous systems over directed graphs, Appl. Math. Comput. 370 (2019) 22\u201328, doi: 10.1016\/j.amc.2018.10.077.<\/a>
\n48<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems, Complexity, vol. 2019, Article ID 6280960, 10 pages, 2019, doi: 10.1155\/2019\/6280960.<\/a>
\n49<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, Dynamical attraction in parallel network models, Appl. Math. Comput. 361 (2019) 874-888, doi: 10.1016\/j.amc.2019.05.048.<\/a>
\n50<\/strong>. A. Galletti, L. Marcellino, S. Cuomo, J.C. Valverde, NAMDAC: Numerical algorithms and methods for data analysis and classification. Proceedings – 14th International Conference on Signal Image Technology and Internet Based Systems, SITIS 2018, (2019), XXVII, doi: 10.1109\/SITIS.2018.00007.<\/a>
\n51<\/strong>. M. Abdelheq, O. Belhamiti, L. Bouzid, D.Y. Trejos, J.C. Valverde, A predictive spatio-temporal model for bovine Babesiosis epidemic transmission, J. Theor. Biol. 480 (2019) 192-204, doi: 10.1016\/j.jtbi.2019.07.015.<\/a>
\n52<\/strong>. Q.A. Dang, M.T. Hoang, D.Y. Trejos, J.C. Valverde, Feedback control variables to restrain the Babesiosis disease, Math. Meth. Appl. Sci. 42(18) (2019) 7517-7527, doi: 10.1002\/mma.5877.<\/a>
\n53<\/strong>. J.C. Valverde, H.S. Mortveit, C. Gershenson, Y. Shi, Boolean Networks and Their Applications in Science and Engineering, Complexity Volume 2020, Article ID 6183798, doi: 10.1155\/2020\/6183798.<\/a>
\n54<\/strong>. S. Kozerenko, J.C. Valverde, Periods in XOR parallel dynamical systems over directed dependency graphs, J. Comput. Appl. Math. 364 (2020) 112313, doi: 10.1016\/j.cam.2019.06.029.<\/a>
\n55<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, Attractors and transient in sequential dynamical systems, Int. J. Comput. Math. 97(1-2) (2020) 467-481, doi: 10.1080\/00207160.2019.1647338.<\/a>
\n56<\/strong>. J.A. Aledo, A. Barzanouni, G. Malekbala, L. Sharifan, J.C. Valverde, On the Periodic Structure of Parallel Dynamical Systems on Generalized Independent Boolean Functions, Mathematics 8(7) (2020) 1088, doi: 10.3390\/math8071088.<\/a>
\n57<\/strong>. Q.A. Dang, M.T. Hoang, D.Y. Trejos, J.C. Valverde, Nonstandard Finite Difference Schemes for the Study of the Dynamics of the Babesiosis Disease, Symmetry 2020, 12, 1447, doi:10.3390\/sym12091447.<\/a>
\n58<\/strong>. J.A. Aledo, A. Barzanouni, G. Malekbala, L. Sharifan, J.C. Valverde, Counting Periodic Points in Parallel Graph Dynamical Systems, Complexity, Volume 2020, Article ID 9708347, 9 pages, doi:10.1155\/2020\/9708347.<\/a>
\n59<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, Coexistence of Periods in Parallel and Sequential Boolean Graph Dynamical Systems over Directed Graphs, Mathematics 2020, 8(10), 1812, doi: 10.3390\/math8101812.<\/a>
\n60<\/strong>. J.A. Aledo, S. Martinez, J.C. Valverde, Boolean Networks Models in Science and Engineering, Mathematics 2021, 9(8), 867, doi: 10.3390\/math9080867.<\/a>
\n61<\/strong>. J.A. Aledo, A. Barzanouni, G. Malekbala, L. Sharifan, J.C. Valverde, Existence, coexistence and uniqueness of fixed points in parallel and sequential dynamical systems over directed graphs, Communications in Nonlinear Science and Numerical Simulation 103 (2021) 105966, doi:10.1016\/j.cnsns.2021.105966.<\/a>
\n62<\/strong>. J.A. Aledo, L.G. Diaz, S. Martinez, J.C. Valverde, Enumerating periodic orbits in sequential dynamical systems over graphs, J. Comput. Appl. Math. 405 (2022), 113084, doi: 10.1016\/j.cam.2020.113084.<\/a>
\n63<\/strong>. D.Y. Trejos, J.C. Valverde, E. Venturino, Dynamics of infectious diseases: A review of the main biological aspects and their mathematical translation, Applied Mathematics and Nonlinear Sciences 7(1) (2022) 1-26, doi:10.2478\/AMNS.2021.1.00012.<\/a>
\n64<\/strong>. J.A. Aledo, A. Barzanouni, G. Malekbala, L. Sharifan, J.C. Valverde, Fixed points in generalized parallel and sequential dynamical systems induced by a minterm or maxterm Boolean functions, J. Comput. Appl. Math. (2022), doi: 10.1016\/j.cam.2021.114070.<\/a>
\n65<\/strong>. J.A. Aledo, G. Manjabacas, J. Robles, J.C. Valverde, Fuzzy parallel dynamical systems on Zadeh operators, Mathematical Methods in the Applied Sciences 46(9) (2023) 10260 \u2013 10267, doi: 10.1002\/mma.9117.<\/a>
\n66<\/strong>. J.A. Aledo, E. Goles, M. Montalva-Medel, P. Montealegre, J.C. Valverde, Symmetrizable Boolean networks, Information Sciences 626 (2023) 787\u2013804, doi: 10.1016\/j.ins.2023.01.082.<\/a>
\n67<\/strong>. Manh T. Hoang, J.C. Valverde, A generalized model for the population dynamics of a two stage species with recruitment and capture using a nonstandard finite difference scheme, Comp. Appl. Math. 43, 54 (2024), doi: 10.1007\/s40314-023-02539-9.<\/a>
\n68<\/strong>. J.A. Aledo, J.P. Llano, J.C. Valverde, Dynamics of synchronous Boolean networks with non-binary states, Chaos, 2024, 34(7), 073124, doi: 10.1063\/5.0208534.<\/a>
\n69<\/strong>. Manh T. Hoang, J.C. Valverde, Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species, Filomat, 2025, 39(12), pp. 4117\u20134135, doi: 10.2298\/FIL2512117H.<\/a>
\n70<\/strong>. J.A. Aledo, J.P. Llano, J.C. Valverde, Multi-state sequential Boolean networks: An analysis of its combinatorial dynamics, Applied Mathematics and Computation, 2025, 489, 129115, doi: 10.1016\/j.amc.2024.129115.<\/a>
\n71<\/strong>. J.A. Aledo, J.P. Llano, L. Sharifan, J.C. Valverde, Computation of fixed points in MAX and MIN multi-state networks, Communications in Nonlinear Science and Numerical Simulation, 2025, 145, 108672, doi: 10.1016\/j.cnsns.2025.108672.<\/a>
\n72<\/strong>. J.A. Aledo, J.P. Llano, J.C. Valverde, Exact enumeration of fixed points of AND-OR-NAND-NOR Boolean networks, Chaos, Solitons and Fractals, 2025, 195, 116182, doi: 10.1016\/j.chaos.2025.116182.<\/a>
\n73<\/strong>. J.A. Aledo, J.P. Llano, L. Sharifan, J.C. Valverde, Periodic Orbits of MAX and MIN Multistate Networks, Mathematical Methods in the Applied Sciences, 2025; doi: 10.1002\/mma.10944.<\/a><\/p>\n![\"\"](\"https:\/\/blog.uclm.es\/josevalverde\/wp-content\/uploads\/sites\/123\/2025\/06\/LOGOSAGUCLM2023-300x43.png\")
<\/p>\n![\"\"](\"https:\/\/blog.uclm.es\/josevalverde\/wp-content\/uploads\/sites\/123\/2025\/06\/logos-jccmfeder-300x25.png\")
<\/p>\n
\n2. L.M. Ladino, University of Los Llanos, COLOMBIA, \u201cPopulations Dynamics of Migratory Species with recruitment, predation and capture\u00bb, April 2013.
\n3. L.G. D\u00edaz, University Autonoma of Madrid, Spain, \u201cAdvances in parallel and sequential dynamical systems over graphs and their applications\u201d, February 2020.
\n4. D.Y. Trejos, University San Jose de Caldas, COLOMBIA \u00abDynamics of deterministic models for the bovine babesiosis\u00bb, December 2023.
\n5. Jose P. Llano, University of Valencia, SPAIN, Dynamics of some classes of multistate deterministic networks, April 2025.<\/p>\n
\nPresented (plenary session): \u201cBifurcations in discrete and continuous dynamical systems generalized.\u201d Role: Main speaker\/lecturer (invited)
\n\u2022 International conference: Trends in Bifurcation Analysis, Italy, June 2009.
\nPresented (plenary session): \u201cLocal Topological equivalences between entire and truncated normal forms.\u201d Role: Invited speaker
\n\u2022 II International Conference on Applied Mathematics, Colombia, September 2014.
\nPresented (plenary session): \u201cClassical local bifurcations of dynamical systems.\u201d Role: Main speaker\/lecturer (invited)
\n\u2022 II International Conference on Applied Mathematics, Colombia, September 2014.
\nPresented (plenary session): \u201cGraph dynamical systems: a tool for modeling discrete processes.\u201d Role: Main speaker\/lecturer (invited)<\/p>\n
\nPresented: \u201cAn Introduction to Dynamical Systems and Bifurcations\u201d
\n\u2022 University of Murcia, November 2001.
\nPresented: \u201cOpen problems on bifurcation theory\u201d
\n\u2022 University Jaume I of Castellon, November 2003.
\nPresented: \u201cResearching on Dynamical Systems at the University of Castilla-La Mancha\u201d
\n\u2022 University of Macerata, Italy, February, 2005.
\nPresented: \u201cBifurcations of dynamical systems: some examples in Economics\u201d
\n\u2022 University of Urbino, Italy, November, 2006.
\nPresented: \u201cFacility location in networks I\u201d
\n\u2022 University of Urbino, Italy, November, 2007.
\nPresented: \u201cFacility location in networks II\u201d
\n\u2022 University of Catilla-La Mancha, March 2007.
\nPresented: \u201cInternet Accessibility\u201d
\n\u2022 Polytechnic University of Cartagena, May, 2008.
\nPresented: \u201cAnalysis of non-standard conditions which produce local bifurcations\u201d
\n\u2022 University of Punta Arenas, Chile, September 2008.
\nPresented: \u201cNetworks Optimization\u201d
\n\u2022 University of Murcia, May 2009.
\nPresented: \u201cDynamical systems in computations\u201d
\n\u2022 University of Murcia, May 2010.
\nPresented: \u201cPetri Nets as an especial type of discrete dynamical systems\u201d
\n\u2022 University of Urbino, Italy, June, 2010.
\nPresented: \u201cFree software for Mathematics in Engineering\u201d
\n\u2022 University of Lisbon, Portugal, July, 2014.
\nPresented: \u201cHigher order conditions for non-standard local bifurcations of dynamical systems\u201d<\/p>\n
\nPresented: \u201cTopological Conjugations of Normal Forms in Bifurcations\u201d
\n\u2022 III Italian-Spanish Conference on Topology and its Applications, June 2000.
\nPresented: \u201cTopological Normal Forms of Higher Degree for the Simplest Local Bifurcations\u201d
\n\u2022 3rd European Congress of Mathematics, July 2000.
\nPresented: \u201cStructural Stability under Conditions of Non-Hyperbolicity\u201d
\n\u2022 European Conference on Iteration Theory, September 2000
\nPresented: \u201cSimplest Normal Forms of Neimark-Sacker Bifurcations\u201d
\n\u2022 IV Iberoamerican Conference on Topology and its Applications, April 2001.
\nPresented: \u201cTopological Conjugations Including Higher Order Terms\u201d
\n\u2022 International Conference on Computational and Mathematical Methods in Sciences and Engineering, September 2002.
\nPresented: \u201cSymbolic Mathematical Computing of Bifurcations in Dynamical Systems\u201d
\n\u2022 International Conference on Computational and Mathematical Methods in Sciences and Engineering, September 2002.
\nPresented: \u201cStability of Continuous Systems by Routh-Hurwitz and Mathematica\u201d
\n\u2022 V Iberoamerican Conference on Topology and its Applications, June 2003.
\nPresented: \u201cTopological Normal Forms of Higher Order for the Chenciner Bifurcation\u201d
\n\u2022 European Conference on Iteration Theory, September 2006
\nPresented: \u201cChenciner bifurcation: some results on diffeomorphic systems\u201d
\n\u2022 VII Iberoamerican Conference on Topology and its Applications, June 2008.
\nPresented: \u201cNear a local topological equivalence when a quasi-center like point appears\u201d
\n\u2022 International Conference on Engineering and Mathematics, July 2008
\nPresented: \u201cNew trends in Mathematics for Engineering based on computer\/network assisted methods\u201d<\/p>\n
\n\u2022 Revista de la Real Academia de Ciencias Exactas, F\u00edsicas y Naturales. Serie A. Matem\u00e1ticas
\n\u2022 Open Physics
\n\u2022 International Journal of Computer Mathematics
\n\u2022 Journal of Computational Methods in Sciences and Engineering
\n\u2022 Entropy
\n\u2022 Discrete Mathematics & Theoretical Computer Science,
\n\u2022 Plos One
\n\u2022 Applied Sciences
\n\u2022 Advances in Geometry,
\n\u2022 Chaos, Solitons & Fractals,
\n\u2022 Applied Bionics and Biomechanics
\n\u2022 Epidemiology and Infection,
\n\u2022 Neural Computing and Applications,
\n\u2022 Mathematical Methods in the Applied Sciences,
\n\u2022 Journal of Biological Systems,
\n\u2022 Acta Biotheoretica,
\n\u2022 Applied Mathematics & Information Sciences,
\n\u2022 Nonlinear Analysis Series B: Real World Applications,
\n\u2022 International Journal of Computer Mathematics,
\n\u2022 Computers & Mathematics with Applications,
\n\u2022 Applied Mathematics and Computation,
\n\u2022 Applied Mathematical Letters,<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"