
H.G. Solari, M. A. Natiello and B.G. Mindlin,
Nonlinear
Dynamics: A Two-way Trip from Physics to Math,
Institute of Physics, UK, 1996.

M. A. Natiello and H.G. Solari
The User's
Approach to Topological Methods in 3D Dynamical Systems,
World Scientific, 2007.

My Curriculum Vitae and publications list
(PDF).
My current Review on Academic Activities
(PDF).
My current Research Project (PDF).
My latest Report on Pedagogic Activities
(pdf 26 K).

Avtal/accordo CATANIA-LUND

G.B. Mindlin, H.G. Solari, M.A. Natiello, R. Gilmore and X.-J. Hou [1991];
"Topological analysis of chaotic time series data from the
Belousov-Zhabotinskii reaction",
J.Nonlinear Sci., 1, p147.
M. A. Natiello and H. G. Solari [1994] ;
"Remarks on Braid Theory and the characterisation of periodic orbits",
Journal of Knot Theory and its Ramifications, 3 (4), p511-529.
S. Firle, M. A. Natiello and M. Eiswirth [1995] ;
"Topological Dynamics in a Catalysis Experiment",
Phys. Rev. E, 53, p1257. Preprint (186K)
H. G. Solari, M. A. Natiello and M. Vazquez [1996] ;
"Braids on the Poincare Section: a Laser experiment",
Phys Rev. E54. Preprint (130K)
M. Zimmermann, M. A. Natiello and H. G. Solari, [1997];
Sil'nikov-Saddle-node interaction near a codimension 2
bifurcation: Laser with injected signal,
Physica D, 109, 293-314. Preprint (300K)
M. Zimmermann, S. Firle, M.A. Natiello, M. Hildebrand, M.
Eiswirth, M. Baer, A.K. Bangia and I.G. Kevrekidis, [1997];
Pulse bifurcation and transition to spatiotemporal chaos in an
excitable surface-reaction model,
Physica D, 110, 92-104. Preprint (300K)
M. Zimmermann and M.A. Natiello, [1998];
Global homoclinic and heteroclinic bifurcations close to a
twisted heteroclinic cycle,
Int. J. of Bifurcation and Chaos, 8(2), 359.
Preprint (150K)
S. Firle, R. Bommarco, B. Ekbom and M. A. Natiello, [1998];
Dispersal and life time range of three arthropod predators,
Ecology, 79, 2113.
C Mayol, M. A. Natiello and M Zimmermann, [2001];
Resonance structure in a weakly detuned laser with injected signal,
International Journal of Bifurcation and Chaos, 11(10), 2587-2605.
Preprint (628K)
M Zimmermann, M Natiello and HG Solari, [2001];
Global bifurcations
in a Laser with injected signal: beyond Adler's approximation,
Chaos, 11, 500-513.
Copyright (2001) American Institute of Physics. This article may be
downloaded for personal use only.
Any other use requires prior permission of the author and the
American Institute of Physics. The article may be found
here.
C Mayol, R. Toral, C. R. Mirasso and M. A. Natiello, [2002];
Class A lasers with injected signal: bifurcation set and Lyapunov-potential
function,
Phys. Rev. A. 66, 013808.
Preprint (751K)
H. G. Solari and M. A. Natiello, [2003];
Stochastic population dynamics: the Poisson approximation,
Phys. Rev. E, 67,031918.
Preprint (180K)
H. G. Solari and M. A. Natiello, [2003];
Poisson approximation to density dependent stochastic processes.
A numerical implementation and test,
in Dynamical Systems from Number Theory to Probability,
Växjö Univ. Press. Ser. Math. Modelling, 6, 79, (2003).
Preprint (154K)
A.J. Homburg and M.A. Natiello, [2005];
Accumulation of $T$-points in a model for solitary pulses in an
excitable reaction-diffusion medium, Physica D, 201(3-4), 212-229.
Preprint (170K)
(Previous version in Technical report 2003:31, LUTFMA-5035-2003)
H. G. Solari and M. A. Natiello, [2005];
Minimal periodic orbit structure of 2-dimensional homeomorphisms.
Journal of Nonlinear Science, 15(3), 183-222 (2005).
Preprint (300K)
Fernando Flores M. and M. A. Natiello, [2006];
La filosofia matematica de Karl Marx en los manuscritos de 1881.
Un esbozo.
Revista Brasileira de Historia da Matematica, 6(12), 111-125..
M. A. Natiello and H. G. Solari, [2007];
Blowing-up of deterministic fixed points in
stochastic population dynamics. Mathematical Biosciences, 209(2), 319-335.
H. G. Solari and M. A. Natiello, [2009];
The topological reconstruction of forced oscillators
Chaos, solitons and Fractals, 42(4),
2023-2034.
J. P. Aparicio, M. A. Natiello and H. G. Solari, [2011];
The quasi-deterministic limit of population dynamics
IJAMAS, in press.
Marcelo J Otero, Daniel Barmak, Claudio O Dorso, Hernán G Solari and
M. A. Natiello, [2011];
Modeling Dengue Outbreaks
Mathematical Biosciences, in press.

M. A. Natiello and H. G. Solari, [2004];
Considerations on the Education of Prospective Scientists: The
Learning Contract and the Social Curriculum
Preprint (181K)
M. A. Natiello and H. G. Solari, [2007];
Changes in the meaning of mathematical correctness during the enculturation
of graduate students in physics: conflicts and tensions.
(Elaboration of the above manuscript for the Earli 2007 conference in
Budapest)
Preprint (74K)
