Publications

2009

K.V. Shoop and R. J. Mondragon, One size fits all? Evaluating null models for academic networks, accepted NAEC2009, Riva de Garda, Italy

L. Liu and R. J. Mondragon, Conservation of alternative paths as a method to simplify large networks, SIMPLEX workshop, NetSci'09, Venice, 2009. to appear in ACM digital library

Z. Huang and R. J. Mondragon, How to build catastrophic networks, submitted to IET Communications

2008

R J Mondragon, Topological Modelling of Large Networks,Philosophical Transactions A, Royal Society, Londo, doi:10/1098/rsta.2008.0008

Z. Huang, M. Woolf and R.J. Mondragon (2008), Growing networks designed to fail catastrophically, NAEC2008, Riva del Garda, Italy

L. Liu and R.J. Mondragon (2008), Simplifying large networks conserving path diversity,NAEC2008, Riva del Garda, Italy

R. J. Mondragon, S. Zhou (2008), Ensembles related to the rich-club coefficient for non-evolving networks, arXiv:0808.4062

R.J. Mondragon, A.W. Moore, J.M. Pitts and J.A. Schormans (2008), Analysis, Simulation and Measurement in Large-scale PacketNetworks, invited review paper, to appear in IET Communications Special Edition on Simulation, Analysis and Measurement of Broadband NetworkTraffic

2007

M. Woolf, Z. Huang and R.J.Mondragon, Builidng Catastrophes: networks designed to fail by avalanche-like breakdown. New Journal of Physics, Vol 9 June 2007

S. Zhou and R.J. Mondragon, Structural Constraints in complex networks, New Journal of Physics, Vol 9 June 2007

2006

R.J. Mondragon, Optimal Networks, Congestion and Braess' Paradox. Performance Evaluation and Design of Computer & Communications Systems, Inter-Perf 2006, Pisa Italy, to appear in ACM Digital Library.

R.J.Mondragon and D.K. Arrowsmith, Packet Traffic, Queues and Non-linear Maps, International Symposium on Nonlinear Theory and Applications, NOLTA, Bologna Ital, to appear in The IEICE Transactions on Fundamentals of Electronics, Communications and Computer Scences

H. Huang and R.J.Mondragon (2006), Demultiplexing Heterogeneous ON/OFF Streams accepted for presentation 12th Asia-Pacific Conference on Communications. Aug. 31st--Sept. 1st 2006, Busan, Republic of Korea.

D.K. Arrowsmith, R.J. Mondragon (2006), Summer School: Complex Networks: Analysis, Control and Applications. University of Bristol, 3rd-7th July 2006, Bristol.

Zhijia Huang and R.J.Mondragon (2006), Topology and Congestion Invariant in Global Internet--Scale Networks. Post--Graduate Network (PGNet2006) sponsored by EPSRC, The Convergence of Telecommunications, Networking and Broadcasting, Liverpool John Moores University.

2005

D.K. Arrowsmith, R.J. Mondraǵon and M. Woolf (2005) Data Traffic, Topology and Congestion.
Chapter of the book Complex Dynamics in Communication Networks, Springer, Verlag, pp. 127–158,
ISBN: 3-540-24305-4.

S. Zhou and R.J. Mondrag ́on (2005). Topological Discrepancies Among Internet Measurements Using
Different Sampling Methodologies. Lecture Notes in Computer Science, Springer-Verlag, Vol 3391,
ISBN: 3-540-24467-0, DOI: 10.1007/b105584.

X. Yang and R.J.Mondrag ́on (2005). Connectivity Improvement by Delayed Transmission for Differ-
ent Mobility Models of Ad-hoc Networks. The 19th International Teletraffic Congress (ITC19), Perfor-
mance Challenges for Efficient Next Generation Networks, Beijing, China.

L. Liu and R.J.Mondrag ́on (2005). A Novel Algorithm for Simplifying Networks. Post–Graduate
Network (PGNet2005) sponsored by EPSRC, The convergence of telecommunications, networking and
broadcasting, Liverpool John Moores University.

D.K. Arrowsmith, R.J. Mondrag ́on, J.M. Pitts and M. Woolf (2004/2005). Dynamical Modelling of
TCP Packet Traffic on Scale-Free Networks. Institut Mittag-Leffler preprint, ISSN 1103-467X, ISRN
IML-R-7-04/05, Report No. 7, the Royal Swedish Academy of Sciences, Stockholm, Sweden.

D.K. Arrowsmith, R.J. Mondrag ́on, J.M. Pitts and M. Woolf (2004/2005). Phase Transitions in
Packet Traffic on Regular Networks: A Comparison of Source Types and and Topologies. Report 08,
the Institut Mittag-Leffler the Royal Swedish Academy of Sciences, Stockholm, Sweden.

S. Zhou and R.J. Mondrag ́on (2005). Topological Discrepancies Among Internet Measurements Using
Different Sampling Methodologies. ICOIN, The International Conference on Information Networking,
Jeju, Korea.

S. Zhou and R.J. Mondrag ́on (2005). The Positive-Feedback Preference Model of the AS-level Inter-
net. in Proc. of IEEE International Conference on Communications (ICC05), Seoul, Korea.

2004

S. Zhou and R. J. Mondrag ́on (2004). Topological Discrepancies Among Internet Measurements Using
Different Sampling Methodologies. Virtual Journal of Biological Physics Research, Vol. 8, Issue 12, the
American Physical Society and the American Institute of Physics.

S. Zhou and R. J. Mondrag ́on (2004). Accurately Modelling the Internet Topology. Physical Review
E, 70:066108.

S. Zhou and R. J. Mondrag ́on (2004). The Rich-Club Phenomenon in the Internet Topology. IEEE
Communications Letters, Vol. 8, pp. 180–182.

S. Zhou and R. J. Mondrag ́on (2004). Redundancy and Robustness of the AS-level Internet Topology
and its Models. IEE Electronic Letters, Vol. 40, No 2, pp. 151–152.

D. K. Arrowsmith, M. Barenco, R.J. Mondrag ́on and M. Woolf (2004). The Statistical Behaviour
of Intermittency Maps and Dynamical Modelling of Networks. Sixteenth International Symposium on
Mathematical Theory of Networks and Systems (MTNS2004), Belgium.

2003

S. Zhou and R. J. Mondrag ́on (2003). Analyzing and Modelling the AS-level Internet Topology.
In First International Working Conference on Performance Modelling and Evaluation of Heterogeneous
Networks (HET-NETs ’03), Ilkley, UK.

Wa jahat Ali, Raul J. Mondrag ́on and Farrukh Alavi (2003). Classification of Topological Patterns
using Neural Networks. Post Graduate Network (PGNet2003) sponsored by EPSRC, Towards the
Improvement of Routing Mechanisms in Ad-hoc Networks, Liverpool John Moores University.

D.K. Arrowsmith, R.J.Mondrag ́on, J.M. Pitts, and M. Woolf (2003). Internet Packet Congestion.
2003 IEEE International Symposium on Circuits and Systems Imperial Queen’s Park Hotel, Bangkok,
Thailand.

S. Zhou and R. J. Mondrag ́on (2003). The Missing Links in the BGP–based as Connectivity Maps
(extended abstract). in Proc. of Passive and Active Measurement Workshop (NLANR-PAM03), San
Diego, USA.

2002

M. Woolf, D.K. Arrowsmith, R.J. Mondrag ́on, and J. M. Pitts (2002). Optimisation and Phase
Transition in a Chaotic Model of Data Traffic. Physics Review E, 66:056106.

I. Djordjevic, C. Gan, E. Scharf, R. Mondrag ́on, B. A. Gran, M. Kristiansen, T. Dimitrakos, K. Stolen,
and T. A. Opperud (2002). Model–based Risk Management of Security Critical Systems. In Proceedings
of “Risk Analysis 2002, Sintra, Portugal, pp. 19–21.

R. J. Mondrag ́on, J. M. Pitts, and D. K. Arrowsmith (2002). Minimising End–to–end Delays in the
Presence of Self–similar Traffic. In World Teletraffic Congress, Paris, 2002.

J. M. Pitts, J. A. Schormans, M. Woolf, R. J. Mondrag ́on, and D. K. Arrowsmith (2002). End to
End Performance in Real Time IP Networks with Self–similar Behaviour. In Acoustics, Speech, and
Signal Processing, 2002 IEEE International Conference on, Vol. 4, pp. 4044–4047.

S. Zhou and R. J. Mondrag ́on (2002). Connectivity in the Internet Topology. Post Graduate Network
(PGNet2002) sponsored by EPSRC, pp. 157–162, Liverpool John Moores University.

S. Zhou and R. J. Mondrag ́on (2002). Topological Properties of the AS–level Internet. in Proc. of
IEE & IEEE International Conference on Telecommunications (ICT2002), Vol. 3, pp. 497–50, Beijing,
China

2001

R.J.Mondrag ́on, D.K.Arrowsmith, and J.M. Pitts (2001). Traffic Modelling and Queuing Performance
Analysis Using Chaotic Maps. Performance Evaluation, Vol. 43, pp. 223–240.

G. Aklilu, J.M. Pitts, and R.J. Mondrag ́on (2001). Modelling the Bounds on LRD Behaviour for
IP Traffic. In Post Graduate Networks (PGNET2001) sponsored by EPSRC, Liverpool John Moore
University.

2000-1986

R.J.Mondrag ́on, J.M. Pitts and D.K.Arrowsmith (2000). Chaotic Intermittency–Sawtooth Map
Model of Aggregate Self–similar Traffic Streams. Electronic Letters, Vol. 36, No. 2, pp. 184–186.

J. Schormans, J. Pitts, R. J. Mondrag ́on, E. Scharf, A. Pearmin and C. Phillips (2000). Design Rules
for Buffering Overlapping Pareto Processes in Packetised Networks. Electronic Letters, Vol. 36, No.
12, pp. 1086–1088.

R. J. Mondrag ́on, D. K. Arrowsmith, and J. M. Pitts (2000). Controlling Self–similar Traffic and
Shaping Techniques. In Nonlinear Control in the Year 2000, Vol 2 of Lecture Notes in Control and
Information Sciences, vol 259, pp. 149–161, Berlin, Germany, Springer Verlag.

J. A. Schormans, J. M. Pitts, A. H. I. Ma, and R. J. Mondrag ́on (2000). Accurate Results for Traffic
Engineering in the Presence of LRD. In 16th IEE Teletraffic Symposium.

R.J.Mondrag ́on, D.K.Arrowsmith and J.M. Pitts (2000). Traffic Modelling and Queuing Performance
Analysis using Chaotic Maps. Proceedings IEEE Workshop on Nonlinear Dynamics of Electronic Sys-
tems, Catania 2000, World Scientific, pp. 56–60.

R.J.Mondrag ́on (1999). A Model of Packet Traffic using a Random Wall Model. Int. Jnl. of Bif. and
Chaos, Vol. 9, 7, pp. 1381-1392.

R.J.Mondrag ́on, D.K. Arrowsmith, J.M. Griffiths and J.M. Pitts (1999). Chaotic Maps for Network
Control: Traffic Modelling and Queuing Performance Analysis. Performance and Control of Network
Systems III, 19-22 Sept. 1999, Boston USA.

L.G. Samuel, J.M. Pitts, R.J.Mondrag ́on and D.K.Arrowsmith (1998). The Maps Paradigm: Chaotic
Control of Networks. Published in Proc. of the Sixth IEE Conference on Telecommunications, Edin-
burgh, UK.

L.G. Samuel, J.M Pitts, and R.J. Mondrag ́on (1998). Applications of Non-linear Dynamics to Network
Modelling. Published in Proc. of the fifteenth UK Teletraffic Symposium on Performance Engineering
in Information Systems, Durham, UK.

L.G. Samuel, J. M. Pitts, R.J.Mondrag ́on, D.K. Arrowsmith (1998). The MAPS control Paradigm:
using Chaotic Maps to Control Telecoms Networks. in Broadband Communications, The Future of
Telecommunications, Ed. P, K ̈uhn & R.Ulrich, Chapman Hall, pp. 371-382.

L.G. Samuel, J.M. Pitts, R.J.Mondrag ́on (1997). Fast self-similar Traffic Generation. 14th UK
Teletraffic Congress

L.G. Samuel, J.M. Pitts, R.J.Mondrag ́on (1997) Towards the Control of Communication Networks by
Chaotic Maps: Source Aggregation. Proc. 15th International Teletraffic Congress (ITC15), Teletraffic Contributions for the information Age, Eds: V. Ramaswami and P.E. Wirth, Elsevier, Amsterdam

R.J.Mondrag ́on and D.K.Arrowsmith (1997). On Control of Coupled Map Lattices: Using Local
Dynamics to Predict Controllability. Int. J. of Bifurcation and Chaos, Vol. 7, No. 2, pp. 383–399.

R.J.Mondrag ́on and D.K.Arrowsmith (1997). Tracking Unstable Fixed Points in Parametrically Dy-
namical Systems. Phys. Lett. A Vol. 229, No. 2.

D.K.Arrowsmith, A.N.Lansbury and R.J.Mondrag ́on (1996). Control of Arnold Circle Map. Int. J.
of Bifurcation and Chaos, Vol. 6, pp. 437–453.

and published as section of the book From Chaos to Order: Perspectives, Methodologies, and Applica-
tions by G. Chen & X. Dong, World Scientific Publishing Company, Singapore, 1998

R.J.Mondrag ́on and P.R.Richter (1994). Weak Dissipation in a Hamiltonian Map. Int. J. of Bifurca-
tion and Chaos, Vol. 4, pp. 921–932.

R.J.Mondrag ́on and I.C.Percival (1991). Complex Billiards and Soft Billiards. Phys.Lett.A Vol. 158,
pp. 377-384.

R.J.Mondrag ́on and M.V.Berry (1989). The Quantum Phase 2-form Near Degeneracies: Two Nu-
merical Studies. Proc.Roy.Soc.Lond. Vol. A424, pp. 263-278.

J.Keating and R.J.Mondrag ́on (1988) Quantum Chaology of Energy Levels. Notes based on Lectures
by Michael Berry, in Nonlinear Evolutionand Chaotic Phenomena, Edited by G.Gallavoti & P.F.Zweifel,
Plenum Press, Series B, Physics.

M.V.Berry and R.J.Mondrag ́on (1987). Neutrino Billiards: Time-reversal Symmetry-breaking With-
out Magnetic Fields. Proc.Roy.Soc.Lond., A412, pp. 873–885,

M.V.Berry and R.J.Mondrag ́on (1986). Diabolical Points in One-dimensional Hamiltonians Quartic
in the Momentum. J.Phys.A: Math.Gen Vol. 19, pp. 873–885,

G.C. Martinez Mekler, R.J.Mondrag ́on and R.Perez (1986). Basins Structure Invariance of Circle
Maps with Bistable Dynamics. J.Phys.A, Vol. 33, 2143. .