Mario di Bernardo

Professor of Nonlinear Systems and Control

Room 2.1 - Queen's Building
Tel.: +44 (0) 117 3315604 [internal extn. 15604]
Fax.: +44 (0) 117 3315606 [internal extn. 15606]
Email: m.dibernardo at bristol.ac.uk
Research Group: Bristol Centre for Applied Nonlinear Mathematics
Home Page: http://www.enm.bris.ac.uk/anm/staff/enmdb

Contact details in Italy and Travel Plans (local access only)

Current Research Interests

• Hybrid and Piecewise-smooth dynamical systems
• Nonlinear Control Theory
• Analysis, Synchronization and Control of Complex Networks
• Mathematical modelling and industrial applications of mathematics
• Systems and Synthetic Biology

Some Recent Publications

• M. di Bernardo, C.J. Budd, A.R. Champneys, P. Kowalczyk, "Piecewise-smooth dynamical systems: theory and applications", Springer-Verlag (Applied Mathematics series no. 163), November 2007
• M. di Bernardo, C. Budd, A.R. Champneys, P. Kowalczyk, A.B. Nordmark, G. Olivar, P.T. Piiroinen,  "Bifurcations in Nonsmooth Dynamical Systems"  SIAM Review , 2007 (to appear)
• F. Sorrentino, M. di Bernardo, F. Garofalo, G. Chen,  "Controllability of complex networks via pinning"  Phys. Rev. E , 75 , 4 , 046103 , 2007
• S. Manfredi, M. di Bernardo, F. Garofalo,  "Reduction-based Robust Active Queue Management Control"  Control Engineering Practice , 15 , 2 , 177-186 , 2007
• R. Alzate, M. di Bernardo, U. Montanaro, S. Santini,  "Experimental and numerical verification of bifurcations and chaos in cam-follower impacting systems"  Nonlinear Dynamics - Springer , 2007 (to appear)
• M. di Bernardo, G. Osorio, S. Santini,  "Corner-impact bifurcations: a novel class of discontinuity-induced bifurcations in cam-follower systems"  SIAM Journal on Applied Dynamical Systems , 2007 (to appear)
• P. Kowalczyk, M. di Bernardo, A.R. Champneys, S.J. Hogan, M. Homer, Yu. A. Kuznetsov, A. Nordmark, P. T. Piiroinen, "Two-parameter discontinuity-induced bifurcations of limit cycles: classification and open problems" International Journal of Bifurcations and Chaos , 6 , 3 , 601-629 , 2006
• F. Sorrentino, M. di Bernardo, G.Huerta Cuellar, S.Boccaletti, "Synchronization in weighted scale-free networks with degree-degree correlation" Physica D , 224 , 1-2 , 123-129 , 2006
  
• P. Kowalczyk, M. di Bernardo, "Two-parameter degenerate sliding bifurcations in Filippov systems", Phyica D, no. 204, pp. 204-229, 2005
• M. di Bernardo, D P Stoten, "MCS Adaptive Control of Nonlinear Systems: Utilizing the properties of chaos" Philosophical Trans. of the Royal Society - London , 364 , 2397-2415 , 2006
  
• T. Richardson, M. Lowenberg, M. di Bernardo, G. Charles, "Design of a gain scheduled flight control system using bifurcation analysis" AIAA Journal of Guidance and Control , 2 , 444-453 , 2006
  

Research Grants

• VI EU Framework Project "Engineering Complexity in Biological Systems (COBIOS)" , (EUR 2.500.000) - 2006 - 2009
• EPSRC Complexity Initiative: grant to organize graduate course on complex networks in Bristol in July 2006. (£ 19.000)
• Co-investigator with Prof S.J. Hogan (Bristol)
  
• Italian Ministry of University and Research Grant (approx EUR 40.000) - 2006-2008
  Node coordinator of research a network with the Universities of Naples, Siena, Milan, L'Aquila and Cagliari
• V EU Framework Project "Simulation and Control of Nonsmooth Systems (SICONOS)", (EUR 2.000.000) - 2002-2006
  C o-organiser with Prof. B. Brogliato (Grenoble, France) of the project which involves 13 European Universities and Research Centres;
  
• EPSRC Critical Mass Grant, "Bristol Centre for Applied Mathematics", (approx. £ 1.000.000) - 2002-2006
  (co-investigator with Prof. S.J. Hogan, Prof. A.R. Champneys, Dr. B. Krauskopf, Dr. E. Wilson, Dr. M. Homer, Dr. H. Osinga)
  EPSRC Research Grant number: GR/R72020
• EPSRC CASE Award with Jaguar Engineering Centre "Analysis of mechanical systems with backlash" (approx. £ 30.000) 2001-2004
  (co-investigator with Dr R E Wilson)
  
• EPSRC Grant (General Engineering Programme) "Adaptive Control of Systems with Nonlinear and Chaotic Dynamics with Applications to the Control of Bifurcations in Flight Dynamics", 2000-2003
  (£ 168.878) (co-investigator with Prof D Stoten, Dr M Lowenberg) - Grant number: GR/M97923
• D.E.R.A (now QinetiQ) Grant on "Analysis of chaos synchronization for secure communications"
  (approx £ 125.000) (co-investigator with Prof S.J. Hogan)
  
• EPSRC Fast Stream (Mathematics Programme) "Analytical and numerical investigation of sliding orbits and their bifurcations in piecewise linear dynamical systems", (approx. £ 60.000)- 1999-2002
  
• Nuffield Award to Newly Appointed Lecturers "Analysis and Classification of Discontinuous Bifurcations in Piecewise-smooth Dynamical Systems and Applications" (£ 4.000) - 1999-2001
  

Workshops and Meetings

• Chair of the International Workshop on Complex Systems and Networks (IWCSN 09), Bristol, July 2009
• Publicity Chair of the International Conference on Nonlinear Theory and its Applications (NOLTA 07), Vancouver, Canada, September 2007
• 3 months Programme on Nonsmooth Complex Systems at the Centre de Recerca Matematica, Barcelona, Spain, January-March 2007
• International School on Piecewise Smooth Dynamical Systems, Naples, Italy, September 2006
• EPSRC Graduate Course on Complex Networks held in Bristol in July 2006
• Publicity Chair of the International Conference on Nonlinear Theory and its Applications (NOLTA 06), Bologna, Italy, September 2006
• Member of the Organizing Committee of the 1st IFAC Workshop on Control of Chaotic Systems, Reims, France, June 2006
• Member of the Organizing Committee of the IFAC Conference on the Analysis and Design of Hybrid Systems, Alghero, Italy, June 2006
• Co-organizer and co-chairman of the International Workshop on Piecewise Smooth Dynamical Systems, held in Bristol in September 2004
• Co-organizer International Meeting on Nonlinear Dynamics in Information and Communciation Technologies held in Bologna in September 2004
• Organizer of the International Workshop on the Analysis and Applications of hybrid and switching systems" held in Milan in October 2004
• Co-organizer of the International Meeting on Codimension-two bifurcations in nonsmooth dynamical systems held in Bristol in June 2003
• Organizer of the International Workshop on "Bifurcations in nonsmooth systems" held in Milan in October 2004

Editorial Activity

• Associate Editor IEEE Transactions on Circuits and Systems I (2008-)
• Associate Editor IEEE Transactions on Circuits and Sytems: Express Letters (Jan 2006-2008)
• Member of the Editorial Board of Newsletter of the Circuits and System Society (2006-)
• Associate Editor IEEE Transactions on Circuits and Systems II (Jan 2003 - Dec 2005)
• Associate Editor IEEE Transactions on Circuits and Systems I (Jan 1999 - Dec. 2002)
• Guest Editor-in-chief Nonlinear Dynamics (2006)
• Guest Editor-in-chief IEEE Transactions on Circuits and Systems I (2003)
• Guest Editor Dynamical Systems (2002)

Professional Societies

• Elected Member of the Board of Governors of the IEEE Circuits and Systems Society (2007-)
• Representative of the IEEE Circuits and System Society on the IEEE Systems Council (2006-)
• Member of the Technical Committee on Nonlinear Circuits and Systems of the IEEE CAS Society (2004-)
• Member of the Governing Board of the Italian Society for Chaos and Complexity (elected in 2005)
• Associate Member of the Centre for Chaos Control and Synchronisation, City University of Hong Kong

Past and current PhD students and PostDocs

• Guy Charles, completed his PhD in 2002
• Piotr Kowalczyk, completed his PhD in 2003; jointly supervised with Prof John Hogan
• Xiaofan Wang, PostDoc on Nonlinear Control Theory 2001-2002
• Paul Davison, completed his PhD in 2003, jointly supervised with Dr M Lowenberg (Aerospace Engineering)
• Chris Halse, completed his PhD in 2005, jointly supervised with Dr R E Wilson (Engineering Mathematics)
• Darren Venn, started in October 2002, jointly supervised with Dr M Lowenberg (Aerospace Engineering)
• Piotr Kowalczyk, Research Assistant (BCANM), 2003-2006 (managed with S.J. Hogan, M. Homer)
• Petri Piiroinen, Research Assistant (SICONOS), 2003-2006 (managed with A.R. Champneys)
• Sabato Manfredi (Italy), completed his PhD in 2005, jointly supervised with Prof. F. Garofalo (Univerisity of Naples Federico II)
• Gustavo Osorio (Italy), completed his PhD in 2007
• Francesco Sorrentino (Italy), completed his PhD in 2007
• Ricardo Alzate Castano (Italy), completed his PhD in 2008
• Athanasios Polynikis, started his PhD in 2006
  
• Pietro De Lellis (Italy), started his PhD in 2007
• Umberto Montanaro (Italy), started his PhD in 2007
• Giovanni Russo (Italy), started his PhD in 2008
• Lucia Russo (Italy), started her PhD in 2008
• Carlos Hoyos Velasco, started his PhD in 2008
• Thomas Gorochowski, started his PhD in 2009
• Oliver Purcell, started his PhD in 2009

Address for correspondence