Publications in Refereed Journals
  1. Bartuccelli, Michele: Sharp constants for the sup-norm on the torus and applications to dissipative partial differential equations. Differential and Integral Equations, Volume 27, Number 1/2, 59 - 80 (2014). Click here for the pdf file.
  2. Bartuccelli, Michele: Explicit estimates on the torus for the sup-norm and the dissipative length scale of solutions of the Swift-Hohenberg Equation in one and two space dimensions. Journal of Mathematical Analysis and Applications, Volume 411, Issue 1, 166 - 176 (2014). Click here for the pdf file.
  3. Bartuccelli, Michele; Gentile, Guido; James Wright: On a class of Hill's equations having explicit solutions. Applied Mathematics Letters, Vol. 26, Issue: 10, 1026 - 1030 (2013). Click here for the pdf file.
  4. Bartuccelli, Michele; Deane, Jonathan; Zelik, Sergey: Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus. Proc. Roy. Soc. Edinburgh Sect. A 143 (2013), no. 3, 445 - 482. Click here for the pdf file.
  5. Bartuccelli, Michele; Deane, Jonathan; Gentile, Guido: Attractiveness of periodic orbits in parametrically forced systems with time-increasing friction. J. Math. Phys. 53 (2012), no. 10, 102703, 27 pages. Click here for the pdf file.
  6. Bartuccelli, Michele; Gibbon, John: Sharp constants in the Sobolev embedding theorem and a derivation of the Brezis-Gallouet interpolation inequality. J. Math. Phys. 52 (2011), no. 9, 093706, 9 pages. Click here for the pdf file.
  7. Bartuccelli, M. V.; Deane, J. H. B.; Gentile, G.; Schilder, F.: Arnold tongues for a resonant injection-locked frequency divider: analytical and numerical results. Nonlinear Anal. Real World Appl. 11 (2010), no. 5, 3344-3362. Click here for the pdf file.
  8. Bartuccelli, Michele V.; Deane, Jonathan H. B.; Gentile, Guido: Frequency locking in an injection-locked frequency divider equation. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 465 (2009), no. 2101, 283-306. Click here for the pdf file.
  9. Bartuccelli, Michele V.; Berretti, Alberto; Deane, Jonathan H. B.; Gentile, Guido; Gourley, Stephen A.: Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator. Nonlinear Anal. Real World Appl. 9 (2008), no. 5, 1966-1988. Click here for the pdf file.
  10. Bartuccelli, Michele V.; Deane, Jonathan H. B.; Gentile, Guido: Periodic attractors for the varactor equation. Dyn. Syst. 22 (2007), no. 3, 365-377. Click here for the pdf file.
  11. Bartuccelli, Michele V.; Deane, Jonathan H. B.; Gentile, Guido: Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 463 (2007), no. 2085, 2351-2369. Click here for the pdf file.
  12. M. Bartuccelli, J. Deane, G. Gentile: Globally and locally attractive solutions for quasi-periodically forced systems. J. Math. Anal. Appl. 328 (2007), no. 1, 699--714. Click here for the pdf file.
  13. G. Gentile, M. Bartuccelli, J. Deane: Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies. Rev. Math. Phys. 19 (2007), no. 3, 307--348. Click here for the pdf file.
  14. M. Bartuccelli, J. Deane, G. Gentile, L. Marsh: Invariant sets for the varactor equation. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 462 (2006), no. 2066, 439--457. Click here for the pdf file.
  15. G. Gentile, M. Bartuccelli, J. Deane: Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems. J. Math. Phys. 47 (2006), no. 7, 072702. Click here for the pdf file.
  16. Y.Kyrychko, S. Gourley, M. Bartuccelli: Dynamics of a stage-structured population model on an isolated finite lattice. SIAM J. Math. Anal.37 (2006), no. 5, 1688--1708.
  17. Y. Kyrychko, S. Gourley, M. Bartuccelli: Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain. Discrete Contin. Dyn. Syst. Ser. B 5 (2005), no. 4, 1015--1026.
  18. G. Gentile, M. Bartuccelli, J. Deane: Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms. J. Math. Phys. 46 (2005), no. 6, 062704. Click here for the pdf file.
  19. Y. Kyrychko, M. Bartuccelli, K. Blyuss: Persistence of travelling wave solutions of a fourth order diffusion system. J. Comput. Appl. Math. 176 (2005), no. 2, 433--443.
  20. Y. Kyrychko, M. Bartuccelli: Length scales for the Navier-Stokes equations on a rotating sphere. Physics Letters A, Volume 324, 179-184 (2004). Click here for ps file.
  21. M. Bartuccelli, J. Deane, G. Gentile, S. Gourley: Global Attraction to the Origin in a Parametrically-Driven Nonlinear Oscillator. Applied Mathematics and Computation, Volume 153, 1-11 (2004). Click here for ps file.
  22. M. Bartuccelli, K.B. Blyuss, Y. Kyrychko: Length scales and positivity of solutions of a class of reaction-diffusion equations. Commun. Pure Appl. Anal., 3, No. 1, 25 - 40 (2004). Click here for ps file.
  23. M. Bartuccelli, G. Gentile, K. Georgiou: KAM Theorem and Stability of the Upside-Down Pendulum. Discrete and Continuous Dynamical Systems, Volume 9, No. 2, 413 - 426 (2003). Click here for ps file.
  24. M. Bartuccelli, G. Gentile: On a class of integrable time-dependent dynamical systems. Physics Letters A, Volume 307, 274-280 (2003). Click here for ps file.
  25. M. Bartuccelli: On the Asymptotic Positivity of Solutions for the Extended Fisher-Kolmogorov Equation with Nonlinear Diffusion. Mathematical Methods in the Applied Sciences, 25, 701-708 (2002). Click here for ps file.
  26. M. Bartuccelli, S.A. Gourley, A. Ilyin: Positivity and the attractor dimension in a Fourth Order Reaction-Diffusion Equation. Proceedings of the Royal Society of London, Series A, 458, 1431-1446 (2002). Click here for ps file.
  27. M. Bartuccelli, G. Gentile, K. Georgiou: On the Stability of the Upside-Down Pendulum with Damping. Proceedings of the Royal Society of London, Series A, 458, 255-269 (2002). Click here for ps file.
  28. Bartuccelli, G. Gentile: Lindstedt Series for Perturbations of Isochronous Systems. A Review of the General Theory. Review in Mathematical Physics, 14, 121 - 171 (2002). Click here for ps file.
  29. P. Ashwin, M. Bartuccelli, T. Bridges and S.A. Gourley: Travelling fronts for the KPP equation with spatio-temporal delay. ZAMP: Journal of Applied Mathematics and Physics, 53, 103-122 (2002). Click here for ps file.
  30. M. Bartuccelli, G. Gentile, K. Georgiou: On the Dynamics of a Vertically Driven Damped Planar Pendulum. Proceedings of the Royal Society of London, Series A, 457, 1-16 (2001). Click here for ps file.
  31. M. Bartuccelli, C.J. Woolcock: On the Positivity of Solutions for a Generalized Diffusion Model. Nuovo Cimento, 116 B, 1365 - 1373 (2001). Click here for ps file.
  32. S.A. Gourley, M. Bartuccelli: Existence and Construction of Travelling Wavefronts Solutions of Fisher Equation with Fourth-Order Perturbations. Dynamics and Stability of Systems, 15, No. 3, 253-262 (2000). Click here for ps file.
  33. M. Bartuccelli: Ladder Theorems and Positivity of Solutions for Dissipative Partial Differential Equations. Nonlinear Phenomena in Complex Systems, 2, No.3, 19-22, (1999).
  34. M. Bartuccelli, S.A. Gourley: On the Problem of Asymptotic Positivity of Solutions for Dissipative Partial Differential Equations. Journal of Biological Physics, 25, No. 2, 65-71 (1999).
  35. M. Bartuccelli, S.A. Gourley: A Conjecture Concerning an Integral Arising in Population Modelling. SIAM Review, 40, No. 3, 710-713 (1998).
  36. M. Bartuccelli, S.A. Gourley and C.J. Woolcock: Conditions for Positivity of Solutions for a Class of Dissipative Partial Differential Equations. Applied Mathematics Letters, 6, No. 11, 71-74 (1998).
  37. M. Bartuccelli, S.A. Gourley, C.J. Woolcock: Length Scales in Solutions of a Generalized Diffusion Model. Physica Scripta, 57, 9-19 (1998).
  38. C.J. Woolcock, M. Bartuccelli: The Rate of Decay of Solutions in Nonlinear Dissipative Partial Differential Equations. Physics Letters A, 236, 415-424 (1997).
  39. M. Bartuccelli, S.A. Gourley: Time Dependent Delays in Population Dynamics. Mathematical and Computer Modelling, 26, No. 12, 13-30 (1997).
  40. S.A. Gourley, M. Bartuccelli: Parameter Domains for Instability of Uniform States in Systems with Many Delays. Journal of Mathematical Biology, 35, 843-867 (1997).
  41. M. Bartuccelli, J.D. Gibbon, M. Oliver: Length Scales in Solutions of the Complex Ginzburg-Landau Equation. Physica D, 89, 267-286 (1996).
  42. S.A. Gourley, M. Bartuccelli: Length Scales in Solutions of a Scalar Reaction-Diffusion Equation with Delay. Physics Letters A, 202, 79-87 (1995).
  43. M. Bartuccelli, C. Doering, J.D. Gibbon, S. Malham: Length Scales in Solutions of the Navier-Stokes Equations. Nonlinearity, 6, 549-568 (1993).
  44. M. Bartuccelli, J.D. Gibbon, S.A.J. Malham: Lattice Methods and the Pressure Field for Solutions of the Navier-Stokes Equations. Nonlinearity, 1, 79-91 (1993).
  45. M. Bartuccelli: Cantori Spectra for the Sawtooth Map. Il Nuovo Cimento, 13D, 1299-1311 (1991).
  46. M. Bartuccelli, C. Doering, J.D. Gibbon: Ladder Theorems for the 2D and 3D Navier-Stokes Equations on a Finite Periodic Domain. Nonlinearity, 4, 531-542 (1991).
  47. M. Bartuccelli, P. Constantin, C. Doering, J.D. Gibbon, M. Gisselfalt: On the Possibility of Soft and Hard Turbulence in the Complex Ginzburg-Landau Equation. Physica D, 44, 421-444 (1990).
  48. M. Bartuccelli, P.L. Christiansen, V. Muto, N.F. Pedersen: Sequences of Subharmonic Bifurcations and Chaos in Perturbed Anharmonic Systems. Il Nuovo Cimento, 12D, No. 8, 1093-1108 (1990).
  49. M. Bartuccelli, P. Constantin, C. Doering, J.D. Gibbon, M. Gisselfalt: Hard Turbulence in a Finite Dimensional Dynamical System?, Physics Letters A, 142, 349-356 (1989).
  50. M. Bartuccelli, F. Vivaldi: Ideal Orbits of Toral Automorphisms: Fourier Analysis. Physica D, 39, 194-204 (1989).
  51. M. Bartuccelli, P.L. Christiansen, V. Muto, N.F. Pedersen, M.P. Soerensen: Chaotic Behaviour in a Pendulum with Variable Length. Il Nuovo Cimento, 100B, No. 2, 229-249 (1987).
  52. M. Bartuccelli, P.L. Christiansen, N.F. Pedersen, M. Salerno: Horseshoe Chaos in the Space-Independent Double Sine-Gordon Equation. Wave Motion, 8, 292-305 (1986).
  53. M. Bartuccelli, P.L. Christiansen, N.F. Pedersen, M.P. Soerensen: Prediction of Chaos in a Josephson Junction by the Melnikov Function Technique. Physical Review B, 33, 4686-4691 (1986).
  54. M. Bartuccelli, M.P. Soerensen, P.L. Christiansen, and A.R. Bishop: On the Low-Dimensional Chaos in RF Squids. Physics Letters A, 109, 347-351 (1985).
  55. M. Bartuccelli, P. Carbonaro, V. Muto: Kadometsev-Petviashvili-Burgers for Shallow Water Waves. Lettere al Nuovo Cimento, 42, 279-284 (1985).
  56. M. Bartuccelli, P. Carbonaro, V. Muto: Two-Dimensional KdV-Burgers for Shallow-Water Waves. Il Nuovo Cimento, 81B, 260-272 (1984).
  57. M. Bartuccelli, T. Brugarino, P. Pantano: Two-Dimensional Burgers' Equation. Lettere al Nuovo Cimento, 37, 433-438 (1983).
  58. M. Bartuccelli: The Generalized Burgers' Equation in Radiative Magnetogasdynamics. Lettere al Nuovo Cimento, 36, 21-26 (1983).
Refereed Proceedings
  1. M. Bartuccelli: Nonlinear stability of uniform steady states and preservation of sign for a two-dimensional fourth-order reaction diffusion equation. "WASCOM 2005"---13th Conference on Waves and Stability in Continuous Media, 41--46, World Sci. Publ., Hackensack, NJ, 2006.
  2. M. Bartuccelli: On Exponentially Attracting Sets of Solutions of the Navier-Stokes Equation. Proceedings of the International Conference ``Computational Physcs'', Technical Univerity of Denmark, Lynby, Denmark, August 1994. Ed. by P.L. Christiansen, E. Mosekilde, 197-202 (1994).
  3. M. Bartuccelli, C. Doering, J.D. Gibbon, S. Malham: Length Scales in Solutions of Dissipative Partial Differential Equations. Proceedings of the International Workshop ``Future Directions of Nonlinear Dynamics in Physical and Biological Systems'', Technical Univerity of Denmark, Lynby, Denmark, July 1992. Ed. by P.L. Christiansen, J.C. Eilbeck, R.D. Parmentier, 97-100 (1993).
  4. M. Bartuccelli, C. Doering, J.D. Gibbon, S. Malham: Length Scales and the Navier-Stokes Equations. Proceedings of the III Potsdam - V Kiev International Workshop on Nonlinear Processes in Physics, Clarkson University, Potsdam, New York (USA), August 1991. Ed. by D. Kaup, 172-175 (1993).
  5. M. Bartuccelli: Fourier Spectra in the Supercritical Regime. Proceedings V International Conference ``Waves and Stability in Continuous Media'', Sorrento, Italy, October 1989. Ed. by S. Rionero. Series on Advances in Mathematics for Applied Sciences, 4, 16-21 (1991).
  6. M. Bartuccelli, V. Muto, M.P. Soerensen: Melnikov theory applied to a variable length pendulum. Proceedings in Nonlinear Science: Structure, Coherence and Chaos in Dynamical Systems, Ed. by P.L. Christiansen, R.D. Parmentier, 2, 503-509 (1988).


m.bartuccelli@surrey.ac.uk
Last updated 7th October 2013