Publications
Books

M. Sangiorgio, F. Dercole, and G. Guariso,
Deep Learning in Multistep Prediction of Chaotic Dynamics: From Deterministic Models to Realworld 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
51. 
M. Italia, K. Y. Wertheim, S. TaschnerMandl, D. Walker, and F. Dercole,
Mathematical model of clonal evolution proposes a personalised multimodal therapy for highrisk Neuroblastoma,
Cancers 15, 1986, 2023.

50. 
H. Perez, C. GraciaLázaro, F. Dercole, and Y. Moreno,
Cooperation in costlyaccess environments,
New Journal of Physics 24, 083005, 2022.

49. 
C. GraciaLázaro, F. Dercole, and Y. Moreno,
Dynamics of economic unions: An agentbased 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 cellbased, spatiallyextended, 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. ToroZapata, C. A. TrujilloSalazar, F. Dercole, and G. OlivarTost,
Coffee Berry Borer (Hypothenemus hampei) and its role in the evolutionary diversification of the coffee market,
Journal of Evolutionary Economics 31, 10291063, 2021.

44. 
M. Sangiorgio and F. Dercole,
Robustness of LSTM neural networks for multistep 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 modelpredictive strategy update explain the network reciprocity observed in socioeconomic 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 modelpredictive rationality explain network reciprocity over social ties,
Scientific Reports 9, 5367, 2019.

40. 
F. Dercole and F. Della Rossa,
Treebased algorithms for the stability of discretetime switched linear systems under arbitrary and constrained switching,
IEEE Transactions on Automatic Control 64, 3823–3830, 2019.

39. 
H. D. ToroZapata, G. OlivarTost, 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 ecogenetic model for the shortterm 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 residentinvader 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 ecoevolutionary preypredator models,
SIAM Journal on Applied Mathematics 73, 1634–1658, 2013.

28. 
F. Della Rossa, F. Dercole, and C. Piccardi,
Profiling coreperiphery 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 multifocal 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 ndimensional Filippov systems: The transition between persistence and nonsmoothfold 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 threespecies food chains,
Proceedings of the Royal Society of London B, 277, 2321–2330, 2010.

19. 
A. Colombo and F. Dercole,
Discontinuity induced bifurcations of
nonhyperbolic 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 boundaryvalue 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 preypredator 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,
Selforganized powerlaw 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 slowfast populations: evolutionary sliding, evolutionary pseudoequilibria 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,
Selfthinning and community persistence in a simple sizestructured
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 branchingextinction 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 preypredator 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 insilico 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,
SpringerVerlag, 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,
IEEEWiley 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,
SpringerVerlag, Berlin, 2009.

1. 
A. Lazaric, E. Munoz de Cote, F. Dercole, and M. Restelli,
Bifurcation Analysis of Reinforcement Learning Agents,
in Adaptive Agents and MultiAgent Systems III,
K. Tuyls, A. Nowe, Z. Guessoum, and D. Kudenko (eds.),
Lecture Notes in Artificial Intelligence, vol. 4865, pp.129–144,
SpringerVerlag, Berlin, 2008.

Conference proceedings
30. 
W. Dâ€™Amico, A. La Bella, F. Dercole, and M. Farina,
Databased control design for nonlinear systems with recurrent neural networkbased 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 socioeconomic impacts of a patent waiver on COVID19 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 cellbased 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 discretetime 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 boundaryvalue 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 modelpredictive 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 feedbackcontrolled 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 treebased algorithm for deciding the stability of discretetime 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 codim1 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 piecewiselinear (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 multifocal 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,
Codimensiontwo 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 NonsmoothFold 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 nonhyperbolic 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 MultiAgent 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,
Boundaryvalue problems for sliding solutions continuation,
in Proceedings NSAUPRH 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 IR06070,
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,
AUTO07p: 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: April 2023