ANALYSIS & APPLIED MATHEMATICS

ANALYSIS & APPLIED MATHEMATICS (LINEAR DYNAMICS, SEMIGROUP THEORY, PARTIAL DIFFERENTIAL EQUATIONS, FRACTIONAL CALCULUS & ALGEBRAIC STRUCTURES IN ANALYSIS).

I am working on chaotic dynamics linear operators on infinite-dimensional spaces, from the point of view of Operator Theory and Functional Analysis. These processes can be modelled through PDE’s or infinite systems of coupled ODE’s.  I am also working in the study of large algebraic structures of pathological mathematical objects with nice properties (lineability & algebrability). Recently, I am also interested in Fractional Calculus and its applications.

1. J. Bonet and J.A. Conejero, The sets of monomorphisms and of almost open operators between locally convex spaces, Proc. Amer. Math. Soc. 129 (2001), no. 12, 3683-3690 (electronic). Link
2. J. Bonet and J.A. Conejero, Duality for monomorphisms and almost open operators between locally convex spaces, Bull. Soc. Roy. Sci. Liège 70 (2001), no. 4-6, 183-193 (2002), Hommage à Pascal Laubin. Link
3. T. Bermúdez, A. Bonilla, J.A. Conejero, and A. Peris, Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces, Studia Math. 170 (2005), no. 1, 57-75. doi:10.4064/sm170-1-3
4. J.A. Conejero and A. Peris, Linear transitivity criteria, Topology Appl. 153 (2005), no. 5-6, 767-773. doi:10.1016/j.topol.2005.01.009
5. J. Bès and J.A. Conejero, Hypercyclic subspaces in omega, J. Math. Anal. Appl. 316 (2006), no. 1, 16-23. doi:10.1016/j.jmaa.2005.04.083
6. J.A. Conejero, V. Müller, and A. Peris, Hypercyclic behaviour of operators in a hypercyclic C0-semigroup,  J. Funct. Anal. 244 (2007), 342-348. doi:10.1016/j.jfa.2006.12.008
7. J.A. Conejero, Enlargements of operators between locally convex spaces, RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat., 101 (2007), no.1, 45-50. Link
8. R. Aron, J.A. Conejero, A. Peris and J.B. Seoane-Sepúlveda, Powers of hypercyclic functions for some classical hypercyclic operators, Integr. equ. oper. theory, 58 (2007), no. 4, 591-596.   doi:10.1007/s00020-007-1490-4
9. R. Aron, J.A. Conejero, Alfredo Peris and J.B. Seoane-Sepúlveda, Sums and products of bad functions, Jarosz, Krzysztof (ed.), Function spaces. Proceedings of the 5th conference, Edwardsville, IL, USA, May 16-20, 2006. Providence, RI: American Mathematical Society. Contemp. Math. 435, 47-52 (2007). Link
10. J.A. Conejero, On the existence of transitive and topologically mixing semigroups,  Bull. Belg. Math. Soc. Simon-Stevin, 14 (2007), no. 3, 463-471. Link
11. J.A. Conejero and A. Peris, Chaotic translation semigroups, Discrete Contin. Dyn. Syst. Ser. A, Supplement volume (2007), 269-276. Link
12. J.A. Conejero and A. Peris, Hypercyclic translation C0-semigroups on complex sectors. Discrete Contin. Dyn. Syst. Ser. A 25 (2009) 1195-1208. doi:10.3934/dcds.2009.25.1195
13. J.A. Conejero and V. Müller, On the universality of multipliers on H(C). Journal Aprox. Th. 162 (2010) 1025-1032. doi: 10.1016/j.jat.2009.11.009
14. J.A. Conejero and E.M. Mangino , Hypercyclic semigroups generated by Ornstein-Uhlenbeck operators. Mediterr. J. Math. 7  (2010), no. 1, 101-109. doi: 10.1007/s00009-010-0030-7
15. R. Aron, J. A. Conejero, A. Peris, and J.B. Seoane-Sepúlveda, Uncountably generated algebras of everywhere surjective functions. Bull. Belg. Math. Soc. Simon-Stevin. 17(2010), no. 3, 571-575. Link
16. J.A. Conejero, A. Peris, and M. Trujillo, Chaotic asymptotic behaviour of the hyperbolic heat transfer equation solutions.  Internat. J. Bifur. Chaos Appl. Sci. Engrg. 20 (2010), no. 9, 2943-2947. doi: 10.1142/S0218127410027489
17. J.A. Conejero and F. Martínez-Giménez, Chaotic differential operators, RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 105, 423-431 (2011). doi: 10.1007/s13398-011-0026-6
18. X. Barrachina and J.A. Conejero, Devaney chaos and distributional chaos in the solution of certain partial differential equations. Abstr. Appl. Anal. 2012 (2012), article ID 457019, 11 pages. doi:10.1155/2012/457019

    

19. J. Bès and J.A. Conejero. An extension of hypercyclicity for N-linear operators. Abstr. Appl. Anal. 2014 (2014), article ID 609873, 11 pages. doi:10.1155/2014/609873
20. J.A. Conejero, P. Jiménez-Rodríguez, G.A. Muñoz-Fernández, and J.B. Seoane-Sepúlveda, When the Identity Theorem “Seems” to fail. Amer. Math. Monthly   121, no. 1, 60-68. doi:10.4169/amer.math.monthly.121.01.060
21. J.A. Conejero, F. Ródenas, and M. Trujillo. Chaos for the hyperbolic bioheat equation. Discrete Contin. Dyn. Syst. Ser. A 35, No.2, 653-668 (2015). doi:10.3934/dcds.2015.35.653
22. J.A. Conejero, C. Lizama, and F. Ródenas. Chaotic behaviour of the solutions of the Moore-Gibson-Thompson equation. Appl. Math. Inf. Sci. 9, No. 5, 2233-2238 (2015). doi:10.12785/amis/090503
23. F. Bastin, J.A. Conejero, C. Esser and J.B. Seoane-Sepúlveda, Algebrability and nowhere Gevrey differentiability. Israel Math. Journal, 125, 127-143 (2015). doi:10.1007/s11856-014-1104-1
24. J.A. Conejero, G.A. Fernández-Muñoz, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda. Smooth functions with uncountably many zeros. Bull. Belg. Math. Soc. Simon-Stevin., 22, 1-5 (2015).
25. X. Barrachina, J.A. Conejero, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda. Distributional chaos for the forward and backward control traffic model. Linear Algebra Appl., 479, 202-215 (2015) doi:10.1016/j.laa.2015.04.010
    

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26. J.A. Conejero, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda. Linear chaos for the Quick-Thinking-Driver model. Semigroup Forum 92 (2016) 486-493. doi:10.1007/s00233-015-9704-6
27. J.A. Conejero, F. Martínez-Giménez, A. Peris, and F. Ródenas. Chaotic asymptotic behaviour of the solutions of the Lighthill-Whitham-Richards equation. Nonlinear Dyn., 84, 127-143 (2016). doi:10.1007/s11071-015-2245-4
28. J.A. Conejero, C. Lizama, and F. Ródenas. Dynamics of the solutions of the water hammer equations. Topology Appl., 203, 67-83 (2016). doi:10.1016/j.topol.2015.12.076
29. J.A. Conejero, C. Lizama, and M. Murillo-Arcila. On the existence of chaos for the viscous van Wijngaarden-Eringen equation. Chaos, Solitons & Fractals, 89, 100-104 (2016). doi:10.1016/j.chaos.2015.10.009
30. J.A. Conejero, M. Kostic, P.J. Miana, and M. Murillo-Arcila. Distributionally chaotic families of operators on Fréchet spaces. Commun. Pure Appl. Anal., 15:5, 1915-1939 (2016). doi:10.1016/cpaa.2016.15
    

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31. J. Bès, J.A. Conejero, and D. Papathanasiou. Convolution operators and hypercyclic algebras. J. Mat. Anal. Appl., 445:2,  1232–1238 (2017). doi:10.1016/j.jmaa.2016.01.029
32. J.A. Conejero, J.B. Seoane-Sepúlveda, P. Sevilla Peris. Isomorphic copies of $\ell_1$ for m-homogeneous non-

    

    analytic Bohnenblust–Hille polynomials. Math. Nachr., 290:2-3, 218-225 (2017).

33. J.A. Conejero, C. Lizama, M. Murillo-Arcila, and A. Peris. Linear dynamics of semigroups generated by differential operators. Open Math. 17, 745-767 (2017).  doi:10.1515/math-2017-0065
34. J.A. Conejero, M. Fenoy, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda. Lineability within Probability Theory settings.  RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat., 111:1 ,673-684 (2017). doi:10.1007/s13398-016-0318-y
35. C.C. Chen, J.A. Conejero, M. Kostic, and M. Murillo-Arcila. Dynamics of multivalued linear operators. Open. Math. 15, 948–958 (2017). doi:10.1515/math-2017-0082
36. J.A. Conejero, C. Lizama, M. Murillo-Arcila. Chaotic semigroups from second order partial differential equations. J. Math. Anal. Appl. 456:1, 402-411 (2017). doi:10.1016/j.jmaa.2017.07.013

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    J. Bès, J.A. Conejero, and D. Papathanasiou. Hypercyclic algebras for convolution and composition operators. J. Funct. Anal., 274:10, 2884-2905 (2018) doi:10.1016/j.jfa.2018.02.003

38. L. Bernal-González, J.A. Conejero, M. Murillo-Arcila, J.B. Seoane-Sepúlveda. Highly tempering infinite matrices.RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat., 112:1 ,341-345 (2018). doi:10.1007/s13398-017-0385-8
39. C.C. Chen, J.A. Conejero, M. Kostic, M. Murillo-Arcila. Dynamics on binary relations over topological spaces. Symmetry, 10, 211 (2018). doi:10.3390/sym10060211
40.  L. Bernal-González, J.A. Conejero, G. Costakis, J.B. Seoane-Sepúlveda. Multiplicative structures of hypercyclic functions for convolution operators. J. Oper. Th. 80:1, 101-112 (2018). doi: 10.7900/jot.2017sep27.2162
    

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41. C. Rodero-Gómez, J.A. Conejero, and I. García-Fernández. Shock wave formation in compliant arteries. Evol. Eq. and Control Th. 8:1, 221-230 (2019). doi:10.3934/eect.2019012
42. J.A. Conejero, C. Lizama, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda. Well posedness for abstract degenerate third order equations with infinite delay. Israel Math. J. 229:1, 219-254 (2019). doi:10.1007/s11856-018-1796-8
43. J.A. Conejero, A. Mudayadan, J.B. Seoane-Sepúlveda. Dynamics of multidimensional Cesàro operators. Bull. Belg. Math. Soc. – Simon Stevin, 26, 1-10 (2019). Link
44. J.A. Conejero, C. Lizama, A. Mira-Iglesias, C. Rodero-Gómez. Visibility graphs of fractional Wu Baleanu time series. J. Differ. Eq. Appl. 25(9-10), 1321-1331 (2019). doi: 10.1080/10236198.2019.1619714
45. L. Bernal-González, J.A. Conejero, M. Murillo-Arcila, J.B. Seoane-Sepúlveda. [S]-Linear and convex structures in function families. Linear Algebra Appl. 579, 463-48 (2019). DOI: 10.1016/j.laa.2019.07.003

    

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46. J.A. Conejero, F. Martínez, A. Peris, F. Ródenas. Sets of periods for chaotic linear operators. RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat., 115:63 (2021) doi:10.1007/s13398-020-00996-z
47. J. Amo-Navarro, R. Vinuesa, J.A. Conejero, S. Hoyas. Two-dimensional compact-finite-difference schemes for solving the bi-Laplacian operator with homogeneous wall-normal derivatives. Mathematics. (9), 2508 (2021). doi:10.3390/math9192508

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    J.A. Conejero, M. Murillo-Arcila, Jesús M. Seoane, Juan B. Seoane. When does chaos appear while driving? Learning dynamical systems via car-following models. Math. Mag. 95(4), 302-313  (2022). doi10.1080/0025570X.2022.2092382

49. J.A. Conejero, J. Franceschi, E. Picó-Marco. Fractional vs. ordinary control systems: What does the fractional derivative provide? Mathematics 10, 2719 (2022) doi:10.3390/math10152719

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50. J.A. Conejero, Ò. Garibo-i-Orts, C. Lizama. Recovering discrete delayed fractional equations from trajectories. Math. Meth. Appl. Sci. (2023). doi:10.1007/10.1002/mma.9228

51. J.A. Conejero, Ò. Garibo-i-Orts, C. Lizama. Inferring the fractional nature of Wu Baleanu trajectories. Nonlinear Dyn. 111, 12421–12431 (2023) doi:10.1007/s11071-023-08463-1

52. J.A. Conejero, A., Falcó, M. Mora-Jiménez. Structure and approximation properties of Laplacian-like matrices. Results Math. 78, 184 (2023). doi:10.1007/s00025-023-01960-0

53. J.A. Conejero, A., Falcó, M. Mora-Jiménez. A pre-processing procedure for the implementation of the greedy rank-one algorithm to solve high-dimensional linear systems. AIMS Math 8(11) 25633-25653 (2023). doi:10.3934/math.20231308

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    A. Akgül, J.A. Conejero. Fractal fractional derivative models for simulating chemical degradation in a bioreactor. Axioms 2024, 13, 151. doi:10.3390/axioms13030151

55. J.A. Conejero, A. Velichko, Ò. Garibo-i-Orts, Y. Izotov, and V.T. Pham. Exploring the entropy-based classification of time series using visibility graphs from chaotic maps. Mathematics 2024, 12, 938 (2024). doi:10.3390/math12070938
56. J.A. Conejero, Ò. Garibo-i-Orts, and C. Lizama. A new paradigm in the logistic and similar maps: time stepping schemes. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 75 (2024). doi:10.1007/s13398-024-01578-z
57. 10. Ò. Garibo-i-Orts, C. Lizama, A. Akgül, J.A. Conejero. Predictive deep learning models for analyzing discrete fractional dynamics from noisy and incomplete data. Chinese J. Phys. 89, 1276-1285 (2024). doi:10.1016/j.cjph.2024.04.010.
58. M. Farman, A. Akgül, J.A. Conejero, A. Shehzad, K.S. Nisar, D. Baleanu. Analytical study of a Hepatitis B epidemic model using a discrete generalized nonsingular kernel. AIMS Math., 2024, 9(7): 16966-16997 (2024). doi:10.3934/math.2024824
59. M.I. Liaqat, Z.A. Khan, J.A. Conejero, A. Akgül. Revised and generalized results of averaging principles for the fractional case. Axioms. 2024; 13(11):732. doi:10.3390/axioms13110732
60. Khan, Z. A., Liaqat, M. I., Akgül, A., & Conejero, J. A. (2024). Qualitative analysis of stochastic Caputo–Katugampola fractional differential equations. Axioms, 13(11), 808. doi:10.3390/axioms13110808
61. R.V. Arévalo, J.A. Conejero, Ò. Garibo-i-Orts, A. Peris. Stock volatility as an anomalous diffusion process. AIMS Math., 2024, 9(12): 34947-34965. doi:10.3934/math.20241663