# Items where Author is "Bartuccelli, M"

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**32**.

## Article

Bartuccelli, Michele, Deane, Jonathan and Gentile, G
(2017)
*Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque*
Monthly Notices of the Royal Astronomical Society, 469 (1).
pp. 127-150.

Bartuccelli, Michele, Deane, JHB and Gentile, G
(2017)
*Fast numerics for the spin orbit equation with realistic tidal dissipation and constant eccentricity*
Celestial Mechanics and Dynamical Astronomy, 128 (4).
pp. 453-473.

Wright, JA, Bartuccelli, Michele and Gentile, G
(2017)
*Comparisons between the pendulum with varying length and the pendulum with oscillating support*
Journal of Mathematical Analysis and Applications, 449.
pp. 1684-1707.

Bartuccelli, Michele, Gentile, G and Wright, JA
(2016)
*Stable dynamics in forced systems with sufficiently high/low forcing frequency*
Chaos, 26, 083108.

Wright, JA, Deane, Jonathan, Bartuccelli, Michele and Gentile, G
(2015)
*Basins of attraction in forced systems with time-varying dissipation*
Communications in Nonlinear Science and Numerical Simulation, 29 (1-3).
pp. 72-87.

Bartuccelli, MV, Deane, JHB and Gentile, G
(2015)
*The high-order Euler method and the spin-orbit model. A fast algorithm for solving differential equations with small and smooth nonlinearity*
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 121 (3).
pp. 233-260.

Wright, JA, Bartuccelli, M and Gentile, G
(2014)
*The effects of time-dependent dissipation on the basins of attraction for the pendulum with oscillating support*
NONLINEAR DYNAMICS.

Bartuccelli, MV
(2014)
*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, 411 (1).
pp. 166-176.

Bartuccelli, MV
(2014)
*Sharp constants for the l°°-norm on the torus and applications to dissipative partial differential equations*
Differential and Integral Equations, 27 (1-2).
pp. 59-80.

Bartuccelli, M, Wright, JA and Gentile, G
(2013)
*On a class of Hill's equations having explicit solutions*
Applied Mathematics Letters, 26 (10).
pp. 1026-1030.

Bartuccelli, M, Deane, J and Gentile, G
(2012)
*Attractiveness of periodic orbits in parametrically forced systemswith time-increasing friction*
Journal of Mathematicsl Physics, 53 (10), 102703.
102703-1 - 102703-27.

Bartuccelli, MV and Gibbon, JD
(2011)
*Sharp constants in the Sobolev embedding theorem and a derivation of the Brezis-Gallouet interpolation inequality*
Journal of Mathematical Physics, 52 (9).

Bartuccelli, MV, Deane, JHB and Zelik, S
(2010)
*Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus*
arXiv.

Bartuccelli, MV, Deane, JHB, Gentile, G and Schilder, F
(2010)
*Arnol'd tongues for a resonant injection-locked frequency divider: Analytical and numerical results*
Nonlinear Analysis: Real World Applications, 11 (5).
pp. 3344-3362.

Bartuccelli, MV, Deane, JHB and Gentile, G
(2009)
*Frequency locking in an injection-locked frequency divider equation*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 465 (2101).
pp. 283-306.

Bartuccelli, MV, Berretti, A, Deane, JHB, Gentile, G and Gourley, SA
(2008)
*Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator*
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 9 (5).
pp. 1966-1988.

Bartuccelli, MV, Deane, JHB and Gentile, G
(2007)
*Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 (2085).
pp. 2351-2369.

Gentile, G, Bartuccelli, MV and Deane, JHB
(2007)
*Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies*
REVIEWS IN MATHEMATICAL PHYSICS, 19 (3).
pp. 307-348.

Bartuccelli, Michele, Deane, Jonathan and Gentile, G
(2007)
*Globally and locally attractive solutions for quasi-periodic ally forced systems*
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 328 (1).
pp. 699-714.

Bartuccelli, MV, Deane, JHB and Gentile, G
(2007)
*Periodic attractors for the varactor equation*
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 22 (3).
pp. 365-377.

Gentile, G, Bartuccelli, Michele and Deane, Jonathan
(2006)
*Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems*
JOURNAL OF MATHEMATICAL PHYSICS, 47 (7), 072702.

Gentile, G, Bartuccelli, MV and Deane, JHB
(2006)
*Bifurcation curves of subharmonic solutions*
Reviews in Mathematical Physics 19 (2007), no. 3, 307-348.

Bartuccelli, MV, Deane, JHB, Gentile, G and Marsh, L
(2006)
*Invariant sets for the varactor equation*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 462 (2066).
pp. 439-457.

Kyrychko, Y, Gourley, Stephen and Bartuccelli, Michele
(2006)
*Dynamics of a stage-structured population model on an isolated finite lattice*
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 37 (5).
pp. 1688-1708.

Gentile, G, Bartuccelli, Michele and Deane, Jonathan
(2005)
*Summation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms*
Journal of Mathematical Physics.

Bartuccelli, Michele V., Deane, Jonathan H. B., Gentile, G. and Gourley, Stephen A.
(2004)
*Global attraction to the origin in a parametrically driven nonlinear oscillator*
Applied Mathematics and Computation, 153.
pp. 1-11.

Kyrychko, Yuliya N. and Bartuccelli, Michele V.
(2004)
*Length scales for the Navier–Stokes equations on a rotating sphere*
Physics Letters A, 324.
pp. 2-3.

Bartuccelli, M. V., Blyuss, K. B. and Kyrychko, Y. N.
(2004)
*Length scales and positivity of solutions of a class of reaction-diffusion equations*
Communications on Pure and Applied Analysis, 3.
pp. 25-40.

Bartuccelli, M. V., Gentile, G. and Georgiou, K.
(2003)
*KAM theory, Lindstedt series and the stability of the upside-down pendulum*
Discrete and Continuous Dynamical Systems, 9.
pp. 413-426.

Bartuccelli, M. V. and Gentile, G.
(2002)
*On a class of integrable time-dependent dynamical systems*
Physics Letters A, 307.
pp. 274-280.

Bartuccelli, M. V., Gourley, S. A. and Ilyin, A. A.
(2002)
*Positivity and the attractor dimension in a fourth-order reaction-diffusion equation*
458.
pp. 1431-1446.

Bartuccelli, M. V., Gentile, G. and Georgiou, K.
(2001)
*On the dynamics of a vertically driven damped planar pendulum*
Proceedings of the Royal Society of London A, 457 (3007).
pp. 3007-3022.