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DEIB Home page Fabio Dercole

Publications


Books

M. Sangiorgio, F. Dercole, and G. Guariso, Deep Learning in Multi-step Prediction of Chaotic Dynamics: From Deterministic Models to Real-world Systems, Springer Briefs in Applied Sciences and Technology, 2022.

S. Rinaldi, F. Della Rossa, F. Dercole, A. Gragnani, and P. Landi, Modeling Love Dynamics, World Scientific, 2015 (reviewed by Nature).

F. Dercole and S. Rinaldi, Analysis of Evolutionary Processes: The Adaptive Dynamics Approach and its Applications, Princeton University Press, 2008.


Journal articles

52.

M. Italia, F. Della Rossa, and F. Dercole, Model-informed health and socio-economic benefits of enhancing global equity and access to Covid-19 vaccines, Scientific Reports 13, 21707, 2023.

51.

M. Italia, K. Y. Wertheim, S. Taschner-Mandl, D. Walker, and F. Dercole, Mathematical model of clonal evolution proposes a personalised multi-modal therapy for high-risk Neuroblastoma, Cancers 15, 1986, 2023.

50.

H. Perez, C. Gracia-Lázaro, F. Dercole, and Y. Moreno, Cooperation in costly-access environments, New Journal of Physics 24, 083005, 2022.

49.

C. Gracia-Lázaro, F. Dercole, and Y. Moreno, Dynamics of economic unions: An agent-based model to investigate the economic and social drivers of withdrawals, Chaos, Solitons and Fractals 160, 112223, 2022.

48.

M. Italia, A. Danani, F. Dercole, R. Ferri, and M. Manconi, A Calibrated Model with a Single Generator Simulating Polysomnographically Recorded Periodic Leg Movements, Journal of Sleep Research 31, e13567, 2022.

47.

M. Italia and F. Dercole, Optimal chemotherapy counteracts cancer adaptive resistance in a cell-based, spatially-extended, evolutionary model, Physical Biology 19, 026004, 2022.

46.

M. Sangiorgio, F. Dercole, and G. Guariso, Forecasting of noisy chaotic systems with deep neural networks, Chaos, Solitons and Fractals 153, 111570, 2021.

45.

H. D. Toro-Zapata, C. A. Trujillo-Salazar, F. Dercole, and G. Olivar-Tost, Coffee Berry Borer (Hypothenemus hampei) and its role in the evolutionary diversification of the coffee market, Journal of Evolutionary Economics 31, 1029--1063, 2021.

44.

M. Sangiorgio and F. Dercole, Robustness of LSTM neural networks for multi-step forecasting of chaotic time series, Chaos, Solitons and Fractals 139, 110045, 2020.

43.

F. Della Rossa, F. Dercole, and A. Di Meglio, Direct reciprocity and model-predictive strategy update explain the network reciprocity observed in socio-economic networks, Games 11, 16, 2020.

42.

F. Dercole and D. Radi, Does the "uptick rule" stabilize the stock market? Insights from Adaptive Rational Equilibrium Dynamics, Chaos, Solitons and Fractals 130, 109426, 2020.

41.

F. Dercole, F. Della Rossa, and C. Piccardi, Direct reciprocity and model-predictive rationality explain network reciprocity over social ties, Scientific Reports 9, 5367, 2019.

40.

F. Dercole and F. Della Rossa, Tree-based algorithms for the stability of discrete-time switched linear systems under arbitrary and constrained switching, IEEE Transactions on Automatic Control 64, 3823–3830, 2019.

39.

H. D. Toro-Zapata, G. Olivar-Tost, and F. Dercole, Conditions on the energy market diversification from adaptive dynamics, Mathematical Problems in Engineering, 9181636, 2018.

38.

F. Dercole, F. Della Rossa, and C. Vicini, Extreme selection unifies evolutionary game dynamics in finite and infinite populations, Bulletin of Mathematical Biology 79, 1070–1099, 2017.

37.

F. Dercole and F. Della Rossa, A deterministic eco-genetic model for the short-term evolution of exploited fish stocks, Ecological Modelling 343, 80–100, 2017.

36.

P. Landi and F. Dercole, The social diversification of fashion, Journal of Mathematical Sociology 40, 185–205, 2016.

35.

F. Dercole, F. Della Rossa, and P. Landi, The transition from evolutionary stability to branching: A catastrophic evolutionary shift, Scientific Reports 6, 26310, 2016.

34.

F. Dercole and S. Geritz, Unfolding the resident-invader dynamics of similar strategies, Journal of Theoretical Biology 394, 231–254, 2016.

33.

F. Dercole, The ecology of asexual pairwise interactions: The generalized law of mass action, Theoretical Ecology 9, 299–321, 2016.

32.

F. Bizzarri, A. Colombo, F. Dercole, and G. Storti Gajani, Necessary and sufficient conditions for the noninvertibility of fundamental solution matrices of a discontinuous system, SIAM Journal on Applied Dynamical Systems 15, 84–105, 2016.

31.

F. Della Rossa, F. Dercole, and P. Landi, The branching bifurcation of Adaptive Dynamics, International Journal of Bifurcation and Chaos 25, 1540001, 2015.

30.

F. Dercole and S. Rinaldi, Love stories can be unpredictable: Jules et Jim in the vortex of life, Chaos 24, 023134, 2014.

29.

P. Landi, F. Dercole, and S. Rinaldi, Branching Scenarios in eco-evolutionary prey-predator models, SIAM Journal on Applied Mathematics 73, 1634–1658, 2013.

28.

F. Della Rossa, F. Dercole, and C. Piccardi, Profiling core-periphery network structure by random walkers, Scientific Reports 3, 1467, 2013.

27.

F. Dercole, M. De Carli, F. Della Rossa, and A. V. Papadopoulos, Overpunishing is not necessary to fix cooperation in voluntary public goods games, Journal of Theoretical Biology 326, 70–81, 2013.

26.

M. Barbieri, A. M. Bianchi, S. Cerutti, and F. Dercole, Modeling focal and multi-focal epilepsy as a qualitative resonance in networks of chaotic oscillators, International Journal of Bioelectromagnetism 14, 172–178, 2012.

25.

F. Dercole and F. Della Rossa, Generalized boundary equilibria in n-dimensional Filippov systems: The transition between persistence and nonsmooth-fold scenarios, Physica D 241, 1903–1910, 2012.

24.

F. Dercole, F. Della Rossa, A. Colombo, and Yu. A. Kuznetsov, Two Degenerate Bounday Equilibrium Bifurcations in Planar Filippov Systems, SIAM Journal on Applied Dynamical Systems 10, 1525–1553, 2011.

23.

S. Cerutti, G. Baselli, A.M. Bianchi, E. Caiani, D. Contini, R. Cubeddu, F. Dercole, L. Di Rienzo, D. Liberati, L. Mainardi, P. Ravazzani, S. Rinaldi, M. G. Signorini, and A. Torricelli, Biomedical signal and image processing, IEEE PULSE 2, 41–54, 2011.

22.

F. Dercole and S. Rinaldi, Evolutionary dynamics can be chaotic: A first example, International Journal of Bifurcation and Chaos 20, 3473–3485, 2010.

21.

S. Rinaldi, F. Della Rossa, and F. Dercole, Love and appeal in standard couples, International Journal of Bifurcation and Chaos 20, 2443–2451, 2010.

20.

F. Dercole, R. Ferrière, and S. Rinaldi, Chaotic Red Queen coevolution in three-species food chains, Proceedings of the Royal Society of London B, 277, 2321–2330, 2010.

19.

A. Colombo and F. Dercole, Discontinuity induced bifurcations of non-hyperbolic cycles in nonsmooth systems, SIAM Journal on Applied Dynamical Systems 9, 62–83, 2010.

18.

F. Dercole, C. Prieu, and S. Rinaldi, Technological change and fisheries sustainability: The point of view of Adaptive Dynamics, Ecological Modelling 221, 379–387, 2010.

17.

F. Dercole, BPcont: An Auto driver for the continuation of branch points of algebraic and boundary-value problems, SIAM Journal on Scientific Computing 30, 2405–2426, 2008.

16.

F. Dercole, U. Dieckmann, M. Obersteiner, and S. Rinaldi, Adaptive dynamics and technological change, Technovation 28, 335–348, 2008.

15.

A. Colombo, F. Dercole, and S. Rinaldi, Remarks on metacommunities synchronization with application to prey-predator systems, The American Naturalist 171, 430–442, 2008.

14.

F. Dercole, D. Loiacono, and S. Rinaldi, Synchronization in ecological networks: A byproduct of darwinian evolution?, International Journal of Bifurcation and Chaos 7, 2435–2446, 2007.

13.

F. Dercole, A. Gragnani, and S. Rinaldi, Bifurcation analysis of piecewise smooth ecological models, Theoretical Population Biology 72, 197–213, 2007.

12.

F. Dercole, Self-organized power-law equilibrium distributions in structured dynamical systems, Chaos and Complexity Letters 2, 113–120, 2006.

11.

F. Dercole, A. Gragnani, R. Ferrière, and 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, 273, 983–990, 2005.

10.

F. Dercole and S. Maggi, Detection and continuation of a border collision bifurcation in a forest fire model, Applied Mathematics and Computation 168, 623–635, 2005.

9.

F. Dercole, K. Niklas, and R. Rand, Self-thinning and community persistence in a simple size-structured dynamical model of plant growth, Journal of Mathematical Biology 51, 333–354, 2005.

8.

F. Dercole, Border collision bifurcations in the evolution of mutualistic interactions, International Journal of Bifurcation and Chaos 15, 2179–2190, 2005.

7.

F. Dercole and Yu. A. Kuznetsov, SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems, ACM Transactions on Mathematical Software 31, 95–119, 2005.

6.

F. Dercole, Remarks on branching-extinction evolutionary cycles, Journal of Mathematical Biology 47, 569–580, 2003.

5.

F. Dercole, Remarks on the computation of the horizon of a digital terrain, Applied Mathematics and Computation 146, 627–641, 2003.

4.

F. Dercole, A. Gragnani, Yu. A. Kuznetsov, and S. Rinaldi, Numerical sliding bifurcation analysis: An application to a relay control system, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 50, 1058–1063, 2003.

3.

F. Dercole, J.-O. Irisson, and S. Rinaldi, Bifurcation analysis of a prey-predator coevolution model, SIAM Journal on Applied Mathematics 63, 1378–1391, 2003.

2.

F. Dercole and S. Rinaldi, Evolution of cannibalistic traits: Scenarios derived from adaptive dynamics, Theoretical Population Biology 62, 365–374, 2002.

1.

F. Dercole, R. Ferrière, and S. Rinaldi, Ecological bistability and evolutionary reversals under asymmetrical competition, Evolution 56, 1081–1090, 2002.


Book chapters

6.

M. Italia, A. Danani, F. Dercole, R. Ferri e M. Manconi, The first in-silico model of leg movement activity during sleep, in Computational Intelligence Methods for Bioinformatics and Biostatistics, Lecture Notes in Computer Science (CIBB 2021), vol. 13483, pp.40–52, Springer-Verlag, Berlin, 2022.

5.

F. Dercole and S. Rinaldi, Bifurcation analysis of the adaptive dynamics canonical equation, in Elements of Adaptive Dynamics, J. A. J. Metz e U. Dieckmann (eds.), Cambridge University Press, Cambridge UK (forthcoming).

4.

F. Dercole and S. Rinaldi, Bifurcations, in Encyclopedia of Theoretical Ecology, A. Hastings and L. Gross (eds.), pp.88–95, University of California Press, Berkeley, CA, 2012.

3.

F. Dercole and S. Rinaldi, Dynamical Systems and Their Bifurcations, in Advanced Methods of Biomedical Signal Processing, S. Cerutti and C. Marchesi (eds.), pp.291–325, IEEE-Wiley Press, New York, NY, 2011.

2.

H. G. E. Meijer, F. Dercole, and B. E. Oldeman, Numerical Bifurcation Analysis, in Encyclopedia of Complexity and System Science, Robert A. Meyers (ed.), pp.6329–6352, Springer-Verlag, Berlin, 2009.

1.

A. Lazaric, E. Munoz de Cote, F. Dercole, and M. Restelli, Bifurcation Analysis of Reinforcement Learning Agents, in Adaptive Agents and Multi-Agent Systems III, K. Tuyls, A. Nowe, Z. Guessoum, and D. Kudenko (eds.), Lecture Notes in Artificial Intelligence, vol. 4865, pp.129–144, Springer-Verlag, Berlin, 2008.


Conference proceedings

30.

W. D’Amico, A. La Bella, F. Dercole, and M. Farina, Data-based control design for nonlinear systems with recurrent neural network-based controllers, in Proceedings of the 22nd IFAC World Congress, Yokohama, 2023.

29.

M. Italia and F. Della Rossa, and F. Dercole, A mathematical analysis of the socio-economic impacts of a patent waiver on COVID-19 vaccines, in Proceedings of the 6th IEEE Conference on Complexity in Engineering, COMPENG 2022, Firenze, 2022.

28.

L. Bettini, F. Auteri, and F. Dercole, Optimal initial perturbations in a boundary layer with wall actuation, in Proceedings of the 6th IEEE Conference on Complexity in Engineering, COMPENG 2022, Firenze, 2022.

27.

L. Bascetta, G. P. Incremona, F. Della Rossa, and F. Dercole, Sliding Mode Control of an Autonomous Ground Vehicle via Flatness Based Feedback Linearization, in Proceedings of the 18th IEEE Conference on Automation Science and Engineering, CASE 2022, Mexico City, 2022.

26.

M. Italia and F. Dercole, Optimal control of two cytotoxic drug maximum tolerated dose steers and exploits cancer adaptive resistance in a cell-based framework, in Proceedings of the 20th European Control Conference, ECC 2022, London, 2022.

25.

M. Sangiorgio, F. Dercole, and G. Guariso, Sensitivity of Chaotic Dynamics Prediction to Observation Noise, in Proceedings of the 6th IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2021, Catania, 2021.

24.

L. A. Cavalcante Lourenco and F. Dercole, Stabilizing switching automata for discrete-time switched linear systems, in Proceedings of the 19th European Control Conference, ECC 2021, Rotterdam, 2021.

23.

F. Dercole and M. Zappalaglio, AUTOopt: An AUTO driver for boundary-value optimization problems, in Proceedings of the 29th Mediterranean Conference on Control and Automation, MED 2021, Bari, 2021.

22.

F. Dercole, M. Sangiorgio, and Y. Schmirander, An empirical assessment of the universality of ANNs to predict oscillatory time series, in Proceedings of the 21th IFAC World Congress, Berlin, 2020.

21.

A. Di Meglio, F. Della Rossa, and F. Dercole, Direct reciprocity and model-predictive rationality: A setup for network reciprocity over social ties, in Proceedings of the 18th European Control Conference, ECC 2019, Napoli, 2019.

20.

F. Della Rossa and F. Dercole, Qualitative resonance of feedback-controlled chaotic oscillators, in Proceedings of the 5th IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2018, Eindhoven, 2018.

19.

F. Dercole and F. Della Rossa, A simple tree-based algorithm for deciding the stability of discrete-time switched linear systems, in Proceedings of the 56st IEEE Conference on Decision and Control, CDC 2017, Melbourne, 2017.

18.

F. Della Rossa, F. Dercole, and C. Piccardi, Reciprocity supports selfish cooperation in heterogeneous social networks, in Proceedings of the 4th IEEE Conference on Complexity in Engineering, COMPENG 2016, Catania, 2016.

17.

A. Colombo, F. Della Rossa, F. Dercole, and C. Piccardi, Asserting Robustness of Nonlinear Models, in Proceedings of the 4th IEEE Conference on Complexity in Engineering, COMPENG 2016, Catania, 2016.

16.

P. Landi and F. Dercole, The evolution of fashion traits: Pure social interactions promote diversity, in Proceedings of the 8th European Nonlinear Dynamics Conference, ENOC 2014, Vienna, 2014.

15.

F. Della Rossa and F. Dercole, Automatic system perturbation for the continuation of codim-1 transcritical bifurcations in MatCont, in Proceedings of the 8th European Nonlinear Dynamics Conference, ENOC 2014, Vienna, 2014.

14.

F. Della Rossa, F. Dercole, and M. Lovera Chaotic dynamics in an Earth pointing, magnetically controlled spacecraft, in Proceedings of the 8th European Nonlinear Dynamics Conference, ENOC 2014, Vienna, 2014.

13.

F. Della Rossa, F. Dercole, and M. Lovera, Attitude stability analysis for an Earth pointing, magnetically controlled spacecraft, in Proceedings of the 19th IFAC Symposium on Automatic Control in Aerospace, ACA 2013, Würzburg, Germany, 2013.

12.

F. Della Rossa and F. Dercole, Generic and generalized boundary operating points in piecewise-linear (discontinuous) control systems, in Proceedings of the 51st IEEE Conference on Decision and Control, CDC 2012, Maui, Hawaii, 2012.

11.

M. Barbieri, A. M. Bianchi, S. Cerutti, and F. Dercole, Qualitative resonance in networks of chaotic oscillators: A modeling framework for focal and multi-focal epilepsy, in Proceedings of the 7th International Workshop on Biosignal Interpretation, BSI 2012, Como, 2012.

10.

F. Dercole, F. Della Rossa, A. Colombo, and Yu. A. Kuznetsov, Codimension-two singularities on the stability boundary in 2D Filippov systems, in Proceedings of the 18th IFAC World Congress, Milano, 2011.

9.

F. Della Rossa and F. Dercole, The Transition from Persistence to Nonsmooth-Fold Scenarios in Relay Control System, in Proceedings of the 18th IFAC World Congress, Milano, 2011.

8.

C. Bruschi, F. Della Rossa, and F. Dercole, Consequences of technological innovation on stock quality and persistence, in Proceedings of the 7th European Nonlinear Dynamics Conference, ENOC 2011, Rome, 2011.

7.

S. Cerutti, G. Baselli, A.M. Bianchi, E. Caiani, D. Contini, R. Cubeddu, F. Dercole, L. Di Rienzo, D. Liberati, L. Mainardi, P. Ravazzani, S. Rinaldi, M. G. Signorini, and A. Torricelli, Biomedical signal and image processing, in BioMed@POLIMI Proceedings of the 1st Workshop on the Life Sciences, Politecnico di Milano, 2010.

6.

F. Dercole, C. Piccardi, S. Rinaldi, and M. G. Signorini, Life and Bifurcations, in BioMed@POLIMI Proceedings of the 1st Workshop on the Life Sciences, Politecnico di Milano, 2010.

5.

F. Dercole and C. Cecchetto, A new stock market model with adaptive rational equilibrium dynamics, in Proceedings of the 1st IEEE Conference on Complexity in Engineering, COMPENG 2010, Rome, 2010.

4.

A. Colombo and F. Dercole, Border collision of non-hyperbolic fixed points, in Proceedings of the 2nd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2009, London, 2009.

3.

A. Lazaric, E. Munoz de Cote, F. Dercole, and M. Restelli, Bifurcation Analysis of Reinforcement Learning Agents, in Adaptive and Learning Agents and Multi-Agent Systems, K. Tuyls, S. de Jong, M. Ponsen, and K. Verbeeck (eds.), MICC Technical Report Series, Maastricht, The Netherlands, 2007.

2.

F. Dercole and Yu. A. Kuznetsov, Boundary-value problems for sliding solutions continuation, in Proceedings NSA-UPRH Regional Conference on Global Continuation Methods in Three Dimensional Elasticity, Puerto Rico University Press, Humacao, PR, 2003.

1.

F. Dercole, A. Gragnani, and S. Rinaldi, Sliding bifurcations in relay control systems: An application to natural resources management, in Proceedings 15th IFAC World Congress, Barcellona, 2002.

F.D. has given (invited and contributed) talks in conferences with no printed proceedings, e.g. SIAM (Society for Industrial and Applied Mathematics) e ESMTB (European Society for Mathematical and Theoretical Biology) conferences.


Other publications

Editorials

1.

F. Dercole and S. Geritz, Editorial, Journal of Biological Dynamics, 5, 103, 2011.

Internal reports

4.

F. Dercole, U. Dieckmann, M. Obersteiner, and S. Rinaldi, Adaptive dynamics and technological change, IIASA Interim Report IR-06-070, International Institute for Applied Systems Analysis, Laxenburg, Austria, 2006.

3.

F. Dercole and Yu. A. Kuznetsov, SLIDECONT: An AUTO97 driver for sliding bifurcation analysis, Preprint n. 1261, Department of Mathematics, Utrecht University, The Netherlands, 2002.

2.

F. Dercole, Sliding bifurcations in relay control systems: An application to natural resources management, Internal Report n. 2002.16, Department of Electronics and Information, Politecnico di Milano, 2002.

1.

F. Dercole, Computation of the visible portion of a digital terrain, Internal Report n. 2001.81, Department of Electronics and Information, Politecnico di Milano, 2001.


Scientific software

3.

E. J. Doedel, A. R. Champneys, F. Dercole, T. F. Fairgrieve, Yu. A. Kuznetsov, B. Oldeman, R. C. Paffenroth, B. Sandstede, X. J. Wang, and C. H. Zhang, AUTO-07p: Continuation and bifurcation software for ordinary differential equations. Department of Computer Science, Concordia University, Montreal, QC, 2007.

2.

F. Dercole, User Guide to BPCONT, Dipartimento di Elettronica e Informazione, Politecnico di Milano, ftp.dei.polimi.it/outgoing/Fabio.Dercole/bpcont/bpcont.tar.gz, 2007.

1.

F. Dercole and Yu. A. Kuznetsov, User Guide to SLIDECONT Department of Mathematics, Utrecht University, The Netherlands, www.math.uu.nl/people/kuznet/cm/slidecont.pdf, 2003.


Thesis

2.

F. Dercole, Evolutionary Dynamics through Bifurcation Analysis: Methods and Applications. Ph.D. Thesis, Department of Electronics and Information, Politecnico di Milano, Italy, 2002.

1.

F. Dercole, Un'Interpretazione Modellistica del Romanzo ``Jules et Jim''. M.sc. thesis, Politecnico di Milano, Italy, 1999 (in Italian).


Last revised: December 2023