Publications in Refereed Journals
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- M. Bartuccelli: Ladder Theorems and Positivity of Solutions for Dissipative Partial
Differential Equations. Nonlinear Phenomena in Complex Systems, 2, No.3, 19-22, (1999).
- 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).
- M. Bartuccelli, S.A. Gourley: A Conjecture Concerning an Integral Arising in
Population Modelling. SIAM Review, 40, No. 3, 710-713 (1998).
- 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).
- M. Bartuccelli, S.A. Gourley, C.J. Woolcock: Length Scales in Solutions of a Generalized
Diffusion Model. Physica Scripta, 57, 9-19 (1998).
- C.J. Woolcock, M. Bartuccelli: The Rate of Decay of Solutions in Nonlinear Dissipative
Partial Differential Equations. Physics Letters A, 236, 415-424 (1997).
- M. Bartuccelli, S.A. Gourley: Time Dependent Delays in Population Dynamics.
Mathematical and Computer Modelling, 26, No. 12, 13-30 (1997).
- 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).
- M. Bartuccelli, J.D. Gibbon, M. Oliver: Length Scales in Solutions of the Complex
Ginzburg-Landau Equation. Physica D, 89, 267-286 (1996).
- S.A. Gourley, M. Bartuccelli: Length Scales in Solutions of a Scalar Reaction-Diffusion
Equation with Delay. Physics Letters A, 202, 79-87 (1995).
- M. Bartuccelli, C. Doering, J.D. Gibbon, S. Malham: Length Scales in Solutions of the
Navier-Stokes Equations. Nonlinearity, 6, 549-568 (1993).
- 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).
- M. Bartuccelli: Cantori Spectra for the Sawtooth Map. Il Nuovo Cimento, 13D, 1299-1311 (1991).
- 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).
- 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).
- 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).
- 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).
- M. Bartuccelli, F. Vivaldi: Ideal Orbits of Toral Automorphisms: Fourier Analysis. Physica D,
39, 194-204 (1989).
- 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).
- 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).
- 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).
- 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).
- M. Bartuccelli, P. Carbonaro, V. Muto: Kadometsev-Petviashvili-Burgers for Shallow Water Waves.
Lettere al Nuovo Cimento, 42, 279-284 (1985).
- M. Bartuccelli, P. Carbonaro, V. Muto: Two-Dimensional KdV-Burgers for Shallow-Water Waves.
Il Nuovo Cimento, 81B, 260-272 (1984).
- M. Bartuccelli, T. Brugarino, P. Pantano: Two-Dimensional Burgers' Equation. Lettere al Nuovo
Cimento, 37, 433-438 (1983).
- M. Bartuccelli: The Generalized Burgers' Equation in Radiative Magnetogasdynamics. Lettere al Nuovo
Cimento, 36, 21-26 (1983).
Refereed Proceedings
- 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.
- 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).
- 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).
- 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).
- 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).
- 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