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1

On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation

Michele Bartuccelli, Petre Constantin, Charles R. Doering, John D. Gibbon, Magnus Gisselfält

Journal:

Physica D: Nonlinear Phenomena

Year:

1990

Language:

english

File:

PDF, 1.60 MB

english, 1990

2

Ideal orbits of toral automorphisms

Michele Bartuccelli, Franco Vivaldi

Journal:

Physica D: Nonlinear Phenomena

Year:

1989

Language:

english

File:

PDF, 898 KB

english, 1989

3

Hard turbulence in a finite dimensional dynamical system?

Michele Bartuccelli, Peter Constantin, Charles R. Doering, John D. Gibbon, Magnus Gisselfält

Journal:

Physics Letters A

Year:

1989

Language:

english

File:

PDF, 713 KB

english, 1989

4

On the Problem of Asymptotic Positivity of Solutions for Dissipative Partial Differential Equations

M.V. Bartuccelli, S.A. Gourley

Journal:

Journal of Biological Physics

Year:

1999

Language:

english

File:

PDF, 46 KB

english, 1999

5

Two-dimensional Burgers equation

M. Bartuccelli, P. Pantano, T. Brugarino

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1983

Language:

english

File:

PDF, 200 KB

english, 1983

6

On the stability of the upside-down pendulum with damping

Bartuccelli, M. V., Gentile, G., Georgiou, K. V.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2002

Language:

english

File:

PDF, 385 KB

english, 2002

7

Prediction of chaos in a Josephson junction by the Melnikov-function technique

Bartuccelli, M., Christiansen, P. L., Pedersen, N. F., Soerensen, M. P.

Journal:

Physical Review B

Year:

1986

Language:

english

File:

PDF, 467 KB

english, 1986

8

Sharp constants in the Sobolev embedding theorem and a derivation of the Brezis-Gallouet interpolation inequality

Bartuccelli, Michele V., Gibbon, John D.

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 118 KB

english, 2011

9

Ladder theorems for the 2D and 3D Navier-Stokes equations on a finite periodic domain

Bartuccelli, M, Doering, C, Gibbon, J D

Journal:

Year:

1991

Language:

english

File:

PDF, 664 KB

english, 1991

10

Comparisons between the pendulum with varying length and the pendulum with oscillating support

Wright, James A., Bartuccelli, Michele, Gentile, Guido

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 731 KB

english, 2017

11

On the asymptotic positivity of solutions for the extended Fisher–Kolmogorov equation with nonlinear diffusion

M. V. Bartuccelli

Journal:

Mathematical Methods in the Applied Sciences

Year:

2002

Language:

english

File:

PDF, 79 KB

english, 2002

12

“Horseshoe chaos” in the space-independent double sine-Gordon system

M. Bartuccelli, P.L. Christiansen, N.F. Pedersen, M. Salerno

Journal:

Year:

1986

Language:

english

File:

PDF, 523 KB

english, 1986

13

Prediction of chaos in Josephson junction by the Melnikov function technique

M. Bartuccelli, P.L. Christiansen, N.F. Pedersen, M.P. Soerensen

Journal:

Physica D: Nonlinear Phenomena

Year:

1987

Language:

english

File:

PDF, 60 KB

english, 1987

14

On low-dimensional chaos in RF SQUIDs

M.P. Soerensen, M. Bartuccelli, P.L. Christiansen, A.R. Bishop

Journal:

Physics Letters A

Year:

1985

Language:

english

File:

PDF, 317 KB

english, 1985

15

Length scales in solutions of a scalar reaction-diffusion equation with delay

S.A Gourley, M.V Bartuccelli

Journal:

Physics Letters A

Year:

1995

Language:

english

File:

PDF, 587 KB

english, 1995

16

Arnol’d tongues for a resonant injection-locked frequency divider: Analytical and numerical results

M.V. Bartuccelli, J.H.B. Deane, G. Gentile, F. Schilder

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 604 KB

english, 2010

17

Persistence of travelling wave solutions of a fourth order diffusion system

Y.N. Kyrychko, M.V. Bartuccelli, K.B. Blyuss

Journal:

Journal of Computational and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 210 KB

english, 2005

18

Globally and locally attractive solutions for quasi-periodically forced systems

Michele V. Bartuccelli, Jonathan H.B. Deane, Guido Gentile

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 208 KB

english, 2007

19

Length scales for the Navier–Stokes equations on a rotating sphere

Yuliya N. Kyrychko, Michele V. Bartuccelli

Journal:

Physics Letters A

Year:

2004

Language:

english

File:

PDF, 171 KB

english, 2004

20

Global attraction to the origin in a parametrically driven nonlinear oscillator

M.V. Bartuccelli, J.H.B. Deane, G. Gentile, S.A. Gourley

Journal:

Applied Mathematics and Computation

Year:

2004

Language:

english

File:

PDF, 341 KB

english, 2004

21

On a class of integrable time-dependent dynamical systems

M.V. Bartuccelli, G. Gentile

Journal:

Physics Letters A

Year:

2003

Language:

english

File:

PDF, 91 KB

english, 2003

22

The rate of decay for solutions in nonlinear dissipative partial differential equations

C.J. Woolcock, M.V. Bartuccelli

Journal:

Physics Letters A

Year:

1997

Language:

english

File:

PDF, 517 KB

english, 1997

23

Conditions for positivity of solutions of a class of dissipative partial differential equations

M.V. Bartuccelli, S.A. Gourley, C.J. Woolcock

Journal:

Applied Mathematics Letters

Year:

1998

Language:

english

File:

PDF, 311 KB

english, 1998

24

A population model with time-dependent delay

M.V. Bartuccelli, S.A. Gourley

Journal:

Mathematical and Computer Modelling

Year:

1997

Language:

english

File:

PDF, 1.60 MB

english, 1997

25

Cantori spectra for the sawtooth map

Journal:

Il Nuovo Cimento D

Year:

1991

Language:

english

File:

PDF, 2.23 MB

english, 1991

26

Parameter domains for instability of uniform states in systems with many delays

S. A. Gourley, M. V. Bartuccelli

Journal:

Journal of Mathematical Biology

Year:

1997

Language:

english

File:

PDF, 1.84 MB

english, 1997

27

Length scales in solutions of the complex Ginzburg-Landau equation

Michele V. Bartuccelli, John D. Gibbon, Marcel Oliver

Journal:

Physica D: Nonlinear Phenomena

Year:

1996

Language:

english

File:

PDF, 945 KB

english, 1996

28

Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator

Michele V. Bartuccelli, Alberto Berretti, Jonathan H.B. Deane, Guido Gentile, Stephen A. Gourley

Journal:

Nonlinear Analysis: Real World Applications

Year:

2008

Language:

english

File:

PDF, 1.42 MB

english, 2008

29

Chaotic behaviour of a pendulum with variable length

M. Bartuccelli, P. L. Christiansen, V. Muto, M. P. Soerensen, N. F. Pedersen

Journal:

Il Nuovo Cimento B (1971-1996)

Year:

1987

Language:

english

File:

PDF, 782 KB

english, 1987

30

Sequence of subharmonic bifurcations and chaos in perturbed anharmonic systems

M. Bartuccelli, P. L. Christiansen, V. Muto, N. F. Pedersen

Journal:

Il Nuovo Cimento D

Year:

1990

Language:

english

File:

PDF, 567 KB

english, 1990

31

Two-dimensional KdV-burgers for shallow-water waves

M. Bartuccelli, V. Muto, P. Carbonaro

Journal:

Il Nuovo Cimento B (1971-1996)

Year:

1984

Language:

english

File:

PDF, 438 KB

english, 1984

32

Kadomtsev-Petviashvili-Burgers for shallow-water waves

M. Bartuccelli, P. Carbonaro, V. Muto

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1985

Language:

english

File:

PDF, 229 KB

english, 1985

33

The generalized Burgers’ equation in radiative magnetogasdynamics

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1983

Language:

english

File:

PDF, 209 KB

english, 1983

34

Travelling fronts for the KPP equation with spatio-temporal delay

Ashwin, P., Bartuccelli, M. V., Bridges, T. J., Gourley, S. A.

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2002

Language:

english

File:

PDF, 1.75 MB

english, 2002

35

Dynamics of a Stage-Structured Population Model on an Isolated Finite Lattice

Kyrychko, Y., Gourley, S. A., Bartuccelli, M. V.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2006

Language:

english

File:

PDF, 222 KB

english, 2006

36

Invariant sets for the varactor equation

Bartuccelli, M.V., Deane, J.H.B., Gentile, G., Marsh, L.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2006

Language:

english

File:

PDF, 438 KB

english, 2006

37

Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit

Bartuccelli, Michele V., Deane, Jonathan H.B., Gentile, Guido

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2007

Language:

english

File:

PDF, 686 KB

english, 2007

38

Positivity and the attractor dimension in a fourth-order reaction-diffusion equation

Bartuccelli, M. V., Gourley, S. A., Ilyin, A. A.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2002

Language:

english

File:

PDF, 371 KB

english, 2002

39

On the dynamics of a vertically driven damped planar pendulum

Bartuccelli, M. V., Gentile, G., Georgiou, K. V.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2001

Language:

english

File:

PDF, 2.23 MB

english, 2001

40

On a class of Hill’s equations having explicit solutions

Bartuccelli, Michele, Gentile, Guido, Wright, James A.

Journal:

Applied Mathematics Letters

Year:

2013

Language:

english

File:

PDF, 361 KB

english, 2013

41

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

Bartuccelli, Michele V.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 270 KB

english, 2014

42

Frequency Locking in an Injection-Locked Frequency Divider Equation

Michele V. Bartuccelli, Jonathan H. B. Deane and Guido Gentile

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2009

Language:

english

File:

PDF, 1.76 MB

english, 2009

43

Invariant Sets for the Varactor Equation

M. V. Bartuccelli, J. H. B. Deane, G. Gentile and L. Marsh

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2006

Language:

english

File:

PDF, 1.93 MB

english, 2006

44

Bifurcation Phenomena and Attractive Periodic Solutions in the Saturating Inductor Circuit

Michele V. Bartuccelli, Jonathan H. B. Deane and Guido Gentile

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2007

Language:

english

File:

PDF, 1.58 MB

english, 2007

45

On the Dynamics of a Vertically Driven Damped Planar Pendulum

M. V. Bartuccelli, G. Gentile and K. V. Georgiou

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2001

Language:

english

File:

PDF, 742 KB

english, 2001

46

On the Stability of the Upside-down Pendulum with Damping

M. V. Bartuccelli, G. Gentile and K. V. Georgiou

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2002

Language:

english

File:

PDF, 341 KB

english, 2002

47

Positivity and the Attractor Dimension in a Fourth-Order Reaction-Diffusion Equation

M. V. Bartuccelli, S. A. Gourley and A. A. Ilyin

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2002

Language:

english

File:

PDF, 343 KB

english, 2002

48

The effects of time-dependent dissipation on the basins of attraction for the pendulum with oscillating support

Wright, James A., Bartuccelli, Michele, Gentile, Guido

Journal:

Nonlinear Dynamics

Year:

2014

Language:

english

File:

PDF, 3.12 MB

english, 2014

49

Length scales and positivity of solutions of a class of reaction-diffusion equations

Kyrychko, Y., Blyuss, K., Bartuccelli, Michele

Journal:

Communications on Pure and Applied Analysis

Year:

2004

Language:

english

File:

PDF, 231 KB

english, 2004

50

Frequency locking in an injection-locked frequency divider equation

Bartuccelli, M. V, Deane, J. H.B, Gentile, G.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2009

Language:

english

File:

PDF, 396 KB

english, 2009

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