[R25] S. Rinaldi,
A. Gragnani, F. Della Rossa, F. Moro: “A theoretical analysis of complex armed conflicts”, Plos One, 17(3):e0264418, 2022.
[R24] L. Bolzoni,
R. Della Marca, M. Groppi, A. Gragnani: “Dynamics of
a metapopulation epidemic model with localized culling”, Discrete and Continuous Dynamical Systems Series B, 25(6), pp. 2307-2330,
2020.
[R23] F. Dercole, A. Gragnani, S.
Rinaldi: “Bifurcation analysis of piecewise smooth ecological models”, Theoretical Population Biology, 72(2), pp.
197-213, 2007.
[R22] J.P. Caulkins,
A. Gragnani, G. Feichtinger, G. Tragler:
“High and low frequency oscillations in drug epidemics”, International Journal of Bifurcation
and Chaos, 16(11),
pp. 3275-3290, 2006.
[R21] F. Dercole, A. Gragnani, R. Ferrière, S. Rinaldi: “Coevolution of slow-fast
populations: Evolutionary sliding, evolutionary pseudo-equilibria and complex
Red Queen dynamics”, Proceedings of the Royal Society of London
B-Biological Sciences, 273 (1589), pp. 983-990, 2006.
[R20] A. Gragnani: “Qualitative analysis of the Belousov-Zhabotinskii
reaction in a batch reactor”, International
Journal of Bifurcation and Chaos, 16(3), pp. 579-588, 2006.
[R19] S. Rinaldi, A. Gragnani, S. De Monte: “Remarks on antipredator
behavior and food chain dynamics”, Theoretical Population Biology,
66(4), pp. 277-286, 2004
[R18] S. Rinaldi, A. Gragnani: “Destabilizing factors in slow-fast
systems”, Ecological Modelling, 180(4), pp. 445-460, 2004
[R17] F. Dercole, A. Gragnani, Yu. A. Kuznetsov,
S. Rinaldi: “Numerical sliding bifurcation analysis: An application to a relay
control system”, IEEETransactions on
Circuits and Systems I: Fundamental Theory and Applications, 50, pp.
1058-1063, 2003
[R16] M. Scheffer, S. Szabo, A. Gragnani, E.
H. van Nes, S. Rinaldi, N. Kautsky,
J. Norberg, R. M. M. Roijackers, R. J. M. Franken:
“Floating plant dominance as a stable state”, Proceedings of the National
Academy of Sciences, 100(7), pp.4040-4045, 2003
[R15] A. Prskawetz, A. Gragnani, G. Feichtinger: “Reconsidering the dynamic interaction of
renewable resources and population growth: a focus on long-run sustainability”,
Environmental Modeling & Assessment, 8(1), pp. 35-45, 2003
[R14] Yu. A. Kuznetsov, S. Rinaldi, A.
Gragnani: “One-parameter bifurcations in planar Filippov
systems”, International Journal of Bifurcation and chaos , 13(8), pp. 2157-2188, 2003
[R13] S. Rinaldi, C. Piccardi, A. Gragnani: “
[R12] S. Rinaldi, R. Casagrandi, A. Gragnani:
“Reduced order model for the prediction of the time of occurrence of extreme
episodes”, Chaos, Solitons and Fractals , 12(2), pp. 313-320, 2001
[R11] A. Gragnani, M. Scheffer, S. Rinaldi: “Top-down control of cyanobacteria: a theoretical analysis”, The American Naturalist, 153(1), pp.59-72, 1999
[R10] A. Gragnani, O. de Feo, S. Rinaldi: “Food chains in the chemostat: relationships between mean yield and complex dynamics”, Bulletin of Mathematical Biology, 60, pp. 703-719, 1998
[R9] A. Gragnani, M. Gatto, S. Rinaldi: “Acidic deposition, plant pests and the fate of forest ecosystems”, Theoretical Population Biology, 54(2), pp. 257-269, 1998
[R8] S. Rinaldi, A. Gragnani: “Love dynamics between secure individuals: a modelling approach”, Nonlinear Dynamics, Psychology, and Life Sciences, 2(4), pp. 283-301, 1998
[R7] A. Gragnani, A. Milik, A. Prskawetz, W. C. Sanderson: “Persistent unstable equilibria and the grace period in dynamic models of environmental change”, Dynamics and Stablility of Systems, 13(1), pp. 3-25, 1998
[R6] A. Gragnani, S. Rinaldi, G. Feichtinger: “Dynamics of drug consumption: a theoretical model”, Socio-Economic Planning Sciences, 31(2), pp. 127-137, 1997
[R5] A. Gragnani, S. Rinaldi, G. Feichtinger: “Cyclic dynamics in romantic relationships”, International Journal of Bifurcation and Chaos, 7(11), pp. 2611-2619, 1997
[R4] A. Gragnani: “Bifurcation analysis of two predator-prey models”, Applied Mathematics and Computation, 85, pp. 97-108, 1997
[R3] S. Rinaldi, M. Scheffer, A. Gragnani, L. R. Mur, E. H. van Nes: “On the dominance of filamentous cyanobacteria in shallow turbid lakes”, Ecology, 78(1), pp. 272-282, 1997
[R2] S. Rinaldi, W. Sanderson, A. Gragnani: “Pollution control policies and natural resource dynamics: a theoretical analysis”, Journal of Environmental Management, 48, pp. 357-373, 1996
[R1] A. Gragnani, S. Rinaldi: “A universal bifurcation diagram for seasonally perturbed predator-prey models”, Bulletin of Mathematical Biology, 57(5), pp. 701-712, 1995
Libri
[B1] S. Rinaldi, F.
Della Rossa, F. Dercole, A. Gragnani, e P. Landi: “Modeling Love Dynamics”, World Scientific
Series on Nonlinear Science Series A, Vol. 89,
Singapore, 2015 (recensito
da Nature).
Articoli
su libri a diffusione internazionale
[PB2] A.Prskawetz, A.
Gragnani: “The complexity of the Malthusian trap and routes of escape”, Festschrift for Gustav Feichtinger,
Springer-Verlag/Physica, pp. 328-341, 2000
[PB1] S. Rinaldi, A. Gragnani:
“Minimal models for dyadic processes: a review”, The Complex Matters of Mind, Studies of Nonlinear Phenomena in Life
Science, Franco Orsucci (Ed.), World Scientific
(Singapore), pp. 87-104, 1998
Articoli presentati a conferenze internazionali
[C7] A. Gragnani, D. Constantinescu: “Dynamics and Control of Pine Processionary Moth (Thaumetopoea pityocampa) Outbreaks in Forest Ecosystems: A Theoretical Analysis”, 2021 European Control Conference (ECC), Rotterdam, Netherlands, 2021, pp. 319-326.
[C6] M. Tanelli, A. Gragnani, A. Astolfi, S. M. Savaresi: “Optimising the braking performance via nonlinear analysis and bifurcation theory”, 47th IEEE Conference on Decision and Control, 2008, pp. 4396-4401, 2008.
[C5] F. Dercole, A. Gragnani, S. Rinaldi: “Sliding bifurcations in relay control systems: an application to natural resources management”, Proceedings of the 15th IFAC World Congress on Automatic Control, Barcelona, Spain, 21-26 luglio, 2002
[C4] A.
Gragnani: “The role of toxicants on predator-prey dynamics”, Proceedings of the 5th European Conference
of the European Society of Matehmatical and Theoretical Ecology on Mathematical Modelling
& Computing in Biology (ECMTB 2002), Milano, Italy, 2-6 luglio, 2002
[C3] S.
Rinaldi, F. Dercole, A. Gragnani: “Exploitation of renewable resources: a
sliding bifurcation analysis”, Proceedings
of the 5th European Conference of the European Society of Matehmatical
and Theoretical Ecology on Mathematical
Modelling & Computing in Biology (ECMTB 2002), Milano, Italy, 2-6 luglio, 2002
[C2] S.
Rinaldi, O. de Feo, A. Gragnani: “Optimality and
chaos of tri-trophic food chains”, Proceedings
of the VII International Congress of Ecology, Firenze, Italy, 19-25 luglio, 1998, p. 359
[C1] A. Gragnani, S. Rinaldi, G. Feichtinger: “Slow-fast limit cycles in controlled drug markets”, Proceedings of 3rd European Control Conference ECC '95, Rome, Italy, 5-8 settembre 1995, Vol. 3, pp. 3031-3034
Altre pubblicazioni
[O2] A.
Gragnani: “Sistemi chimici con transizioni di regime: la reazione di Belousov-Zhabotinskii in un reattore batch”, Politecnico di
Milano, Dipartimento di Elettronica e Informazione, Rapporto interno n° 98-1,
1998
[O1] A.
Gragnani: “Complex hystereses in dynamical
systems” Tesi di Dottorato in Ingegneria Informatica e Automatica (X° ciclo -
1995/97), Politecnico di Milano, relatore Prof. Sergio Rinaldi
Articoli sottoposti
P. Schippers, A. Gragnani, M. Lurling, M.F. WallisdeVries, M. Scheffer: “Different anti-predator defence strategies for rare and abundant species”.