Claudio Bonanno home page
Pubblicazioni & Preprint
Preprint
  1. M. Bianco, A. Scarciglia, C. Bonanno, G. Valenza, “Heart rate variability series is the output of a non-chaotic system driven by dynamical noise”, (arXiv)

  2. C. Bonanno, R. Castorrini, “Dynamical zeta functions for differentiable parabolic maps of the interval”, (arXiv)

Pubblicazioni

    TEORIA ERGODICA

  1. C. Bonanno, A. Del Vigna, S. Isola, “A Poincaré map for the horocycle flow on PSL(2,Z)\H and the Stern-Brocot tree”, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, in corso di stampa (arXiv)

  2. C. Bonanno, T.I. Schindler, “Almost sure limit theorems with applications to non-regular continued fraction algorithms”, Stochastic Processes and Their Applications, 183 (2025), art. 104573 (arXiv)

  3. W. Baalbaki, C. Bonanno, A. Del Vigna, T. Garrity, S. Isola, “On integer partitions and continued fraction type algorithms”, The Ramanujan Journal, 63 (2024), no. 3, 873--915 (arXiv)

  4. M. Lenci, C. Bonanno, G. Cristadoro, “Internal-wave billiards in trapezoids and similar tables”, Nonlinearity, 36 (2023), no. 2, 1029--1052 (arXiv)

  5. C. Bonanno, “On the generalised transfer operators of the Farey map with complex temperature”, Mathematics, 11 (2023), no. 1, paper no. 134

  6. C. Bonanno, G. Cristadoro, M. Lenci, “Maximal escape rate for shifts”, Discrete and Continuous Dynamical Systems, 42 (2022), no. 12, 6007--6029 (arXiv)

  7. C. Bonanno, T.I. Schindler, “Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems”, Discrete and Continuous Dynamical Systems, 42 (2022), no. 11, 5541--5576 (arXiv)

  8. C. Bonanno, S. Marò, “Chaotic motion in the breathing circle billiard”, Annales Henri Poincaré, 23 (2022), no. 1, 255--291 (arXiv)

  9. C. Bonanno, A. Del Vigna, “Representation and coding of rational pairs on a Triangular tree and Diophantine approximation in R^2”, Acta Arithmetica, 200 (2021), no. 4, 389--427 (arXiv)

  10. C. Bonanno, A. Del Vigna, S. Munday, “A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs”, Monatshefte für Mathematik, 194 (2021), 1--40 (arXiv)

  11. C. Bonanno, M. Lenci, “Pomeau-Manneville maps are global-local mixing”, Discrete and Continuous Dynamical Systems, 41 (2021), 1051--1069 (arXiv)

  12. C. Bonanno, S. Isola, “Series expansions for Maass forms on the full modular group from the Farey transfer operators”, Journal of Number Theory, 210 (2020), 183--230 (arXiv)

  13. C. Bonanno, P. Giulietti, M. Lenci, “Infinite mixing for one-dimensional maps with an indifferent fixed point”, Nonlinearity, 31 (2018), no. 11, 5180--5213 (arXiv)

  14. C. Bonanno, P. Giulietti, M. Lenci, “Global-local mixing for the Boole map”, Chaos Solitons and Fractals, 111 (2018), 55--61 (arXiv)

  15. C. Bonanno, I. Chouari, “Escape rates for the Farey map with approximated holes”, International Journal of Bifurcation and Chaos, 26 (2016), no. 10, 1650169 (arXiv)

  16. S. Ben Ammou, C. Bonanno, I. Chouari, S. Isola, “On the spectrum of the transfer operators of a one-parameter family with intermittency transition”, Far East Journal of Dynamical Systems, 27 (2015), no. 1, 13--25 (arXiv)

  17. S. Ben Ammou, C. Bonanno, I. Chouari, S. Isola, “On the leading eigenvalue of transfer operators of the Farey map with real temperature”, Chaos Solitons and Fractals, 71 (2015), 60--65 (arXiv)

  18. C. Bonanno, S. Isola, “A thermodynamic approach to two-variable Ruelle and Selberg zeta functions via the Farey map”, Nonlinearity, 27 (2014), no. 5, 897--926 (arXiv)

  19. C. Bonanno, C. Carminati, S. Isola, G. Tiozzo, “Dynamics of continued fractions and kneading sequences of unimodal maps”, Discrete and Continuous Dynamical Systems, 33 (2013), no. 4, 1313--1332 (arXiv)

  20. C. Bonanno, “Entropy and complexity in dynamical systems and PDEs”, in J.S.Cánovas editor, “Advances in discrete dynamics”, pp. 189--224, Series: Mathematics Research Development, Nova Science Publishers, 2012

  21. C. Bonanno, J.-R. Chazottes, P. Collet, “Estimates of Kolmogorov complexity in approximating Cantor sets”, Nonlinearity, 24 (2011), no. 2, 459--479 (arXiv)

  22. C. Bonanno, S. Isola, “Orderings of the rationals and dynamical systems”, Colloquium Mathematicum, 116 (2009), no. 2, 165--189 (arXiv)

  23. C. Bonanno, S. Isola, “A renormalization approach to irrational rotations”, Annali di Matematica Pura e Applicata, 188 (2009), no. 2, 247--267 (arXiv)

  24. C. Bonanno, S. Graffi, S. Isola, “Spectral analysis of transfer operators associated to Farey fractions”, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 19 (2008), no. 1, 1--23 (arXiv)

  25. C. Bonanno, P. Collet, “Complexity for extended dynamical systems”, Communications in Mathematical Physics, 275 (2007), no. 3, 721--748 (arXiv)

  26. C. Bonanno, G. Menconi, V. Benci, P. Cerrai, “Computable information content and boolean networks dynamics”, Complex Systems, 16 (2005), no. 2, 155--174

  27. C. Bonanno, S. Galatolo, “Algorithmic information for intermittent systems with an indifferent fixed point”, Chaos, 14 (2004), no. 3, 756--762 (arXiv)

  28. V. Benci, C. Bonanno, S. Galatolo, G. Menconi, M. Virgilio, “Dynamical systems and computable information”, Discrete and Continuous Dynamical Systems - Series B, 4 (2004), no. 4, 935--960 (arXiv)

  29. C. Bonanno, “The Algorithmic Information Content for randomly perturbed systems”, Discrete and Continuous Dynamical Systems - Series B, 4 (2004), no. 4,921--934 (arXiv)

  30. C. Bonanno, S. Galatolo, S. Isola, “Recurrence and algorithmic information”, Nonlinearity, 17 (2004), no. 3, 1057--1074 (arXiv)

  31. C. Bonanno, M.S. Mega, “Toward a dynamical model for prime numbers”, Chaos Solitons Fractals, 20 (2004), no. 1, 107--118 (arXiv)

  32. C. Bonanno, “Applications of information measures to chaotic dynamical systems”, tesi per il dottorato in Matematica, Università di Pisa, 2003

  33. C. Bonanno, G. Menconi, “Computational information for the logistic map at the chaos threshold”, Discrete and Continuous Dynamical Systems - Series B, 2 (2002), no. 3, 415--431

  34. C. Bonanno, S. Galatolo, G. Menconi, “Information of sequences and applications”, Physica A, 305 (2002), no. 1-2, 196--199

  35. C. Bonanno, V. Manca, “Discrete dynamics in biological models”, Romanian Journal of Information Science and Technology, 5 (2002), no. 1-2, 45--67


    ANALISI DI SERIE FISIOLOGICHE

  1. A. Scarciglia, C. Magliaro, V. Catrambone, C. Bonanno, A. Ahluwalia, G. Valenza, “Distinctive regional patterns of dynamic neural noise in cortical activity”, Journal of Neural Engineering, 22 (2025), no. 2, 026052

  2. A. Scarciglia, V. Catrambone, M. Bianco, C. Bonanno, N. Toschi, G. Valenza, “Age-Dependent Spatial Patterns of Brain Noise in fMRI Series”, proceedings della "45th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC)", 2024, pp. 1--4

  3. A. Scarciglia, V. Catrambone, M. Bianco, C. Bonanno, N. Toschi, G. Valenza, “Stochastic brain dynamics exhibits differential regional distribution and maturation-related changes”, NeuroImage, 290 (2024), 120562

  4. A. Scarciglia, V. Catrambone, C. Bonanno, G. Valenza, “Physiological noise: definition, estimation, and characterization in comples biomedical signals”, IEEE Transactions on Biomedical Engineering, 71 (2024), no. 1, 45--55

  5. A. Scarciglia, V. Catrambone, C. Bonanno, G. Valenza, “Characterization of physiological noise in complex cardiovascular variability series”, proceedings della "45th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC)", 2023, pp. 1--4

  6. A. Scarciglia, F. Gini, V. Catrambone, C. Bonanno, G. Valenza, “Estimation of dynamical noise power in unknown systems”, IEEE Signal Processing Letters, 30 (2023), 234--238

  7. A. Scarciglia, V. Catrambone, C. Bonanno, G. Valenza, “Multiscale partition-based Kolmogorov-Sinai entropy: a preliminary HRV study on heart failure vs. atrial fibrillation”, proceedings della "44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC)", 2022, pp. 131--134

  8. A. Scarciglia, V. Catrambone, C. Bonanno, G. Valenza, “A multiscale partition-based Kolmogorov-Sinai entropy for the complexity assessment of heartbeat dynamics”, Bioengineering, 9 (2022), no. 2, paper no. 80

  9. A. Scarciglia, V. Catrambone, C. Bonanno, G. Valenza, “Quantifying partition-based Kolmogorov-Sinai entropy on heart rate variability: a young vs. elderly study”, proceedings della "43rd Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC)", 2021, pp. 5469--5472

  10. G. Menconi, M. Franciosi, C. Bonanno, J. Bellazzini, “Information content towards a neonatal disease severity score system”, in "Mathematical Modeling of Biological Systems", vol. I, A.Deutsch, L.Brusch, H.Byrne, G.de Vries and H.P.Herzel (eds), Birkauser, Boston, pp. 323--330, 2007


    SOLITONI IN TEORIE DI CAMPO

  1. C. Bonanno, “A complexity approach to the soliton resolution conjecture”, Journal of Statistical Physics, 160 (2015), no. 5, 1432--1448 (arXiv)

  2. C. Bonanno, “Long time dynamics of highly concentrated solitary waves for the nonlinear Schroedinger equation”, Journal of Differential Equations, 258 (2015), no. 3, 717--735 (arXiv)

  3. C. Bonanno, P. D'Avenia, M. Ghimenti, M. Squassina “Soliton dynamics for the generalized Choquard equation”, Journal of Mathematical Analysis and Applications, 417 (2014), no. 1, 180--199 (arXiv)

  4. C. Bonanno, “Solitons in gauge theories: existence and dependence on the charge”, Advances in Nonlinear Analysis, 3 (2014), issue S1, s1--s18 (arXiv)

  5. C. Bonanno, M. Ghimenti, M. Squassina “Soliton dynamics of NLS with singular potentials”, Dynamics of Partial Differential Equations, 10 (2013), no. 2, 177--207 (arXiv)

  6. J. Bellazzini, V. Benci, C. Bonanno, E. Sinibaldi, “On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation”, Dynamics of Partial Differential Equations, 10 (2013), no. 1, 1--24 (arXiv)

  7. V. Benci, C. Bonanno, “Solitary waves and vortices in non-Abelian gauge theories with matter”, Advanced Nonlinear Studies, 12 (2012), no. 4, 717--735 (arXiv)

  8. J. Bellazzini, C. Bonanno, “Nonlinear Schroedinger equations with strongly singular potentials”, Proceedings of the Royal Society of Edinburgh Sect. A, 140 (2010), no. 4, 707--721 (arXiv)

  9. J. Bellazzini, V. Benci, C. Bonanno, A.M. Micheletti, “Solitons for the nonlinear Klein-Gordon equation”, Advanced Nonlinear Studies, 10 (2010), no. 2, 481--499 (arXiv)

  10. C. Bonanno, “Existence and multiplicity of stable bound states for the nonlinear Klein-Gordon equation”, Nonlinear Analysis: Theory, Methods & Applications, 72 (2010), no. 3-4, 2031--2046 (arXiv)

  11. J. Bellazzini, V. Benci, C. Bonanno, E. Sinibaldi, “Hylomorphic solitons in the nonlinear Klein-Gordon equation”, Dynamics of Partial Differential Equations, 6 (2009), no. 4, 311--334 (arXiv)

  12. J. Bellazzini, C. Bonanno, G. Siciliano, “Magneto-static vortices in two dimensional Abelian gauge theories”, Mediterranean Journal of Mathematics, 6 (2009), no. 3, 347--366 (arXiv)

  13. V. Benci, C. Bonanno, A.M. Micheletti, “On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds”, Journal of Functional Analysis, 252 (2007), no. 2, 464--489


    MECCANICA CELESTE

  1. N. Bertozzi, C. Bonanno, “Asymptotic behaviour of the confidence region in orbit determination for hyperbolic maps with a parameter”, Physica D: Nonlinear Phenomena, 470 (2024), part A, article 134403 (arXiv)

  2. S. Marò, C. Bonanno, “Asymptotic behaviour of orbit determination for hyperbolic maps”, Celestial Mechanics and Dynamical Astronomy, 133 (2021), no. 6, paper no. 29 (arXiv)

  3. A. Milani, D. Vokrouhlicky, D. Villani, C. Bonanno, A. Rossi, “Testing general relativity with the BepiColombo radio science experiment”, Physical Review D, 66 (2002), no. 8, 082001

  4. C. Bonanno, A. Milani, “Symmetries and rank deficiencies in the orbit determination around another planet”, Celestial Mechanics and Dynamical Astronomy, 83 (2002), no. 1, 17--33

  5. A. Milani, A. Rossi, D. Vokrouhlicky, D. Villani, C. Bonanno, “Gravity field and rotation state of Mercury from the BepiColombo Radio Science Experiments”, Planetary and Space Sciences, 49 (2001), no. 14-15, 1579--1596

  6. C. Bonanno, “An analytical approximation for the MOID and its consequences”, Astronomy and Astrophysics, 360 (2000), no. 1, 411--416