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SUMMARY:STRUCTURE AND DYNAMICS IN COMPLEX SYSTEMS - Prof Luciano da Fontou
 ra Costa\, University of São Paulo\, Brazil
DTSTART:20080903T131500Z
DTEND:20080903T141500Z
UID:TALK13215@talks.cam.ac.uk
CONTACT:Timothy G. Griffin
DESCRIPTION:ABSTRACT\nComplex systems\, from the Internet to the brain\, r
 emain as the last pending challenges for science. Because of\ntheir intric
 ate structure and dynamics\, such systems are unlikely to disclose their s
 ecrets to simpler scientific\napproaches such as linear system analysis. M
 ore sophisticated and effective concepts and methods are required in\norde
 r to tackle those problems. Because of their generality [1]\, complex netw
 orks represent a natural alternative\nfor representing\, characterizing an
 d modeling the structure and non-linear dynamics of all discrete complex\n
 systems [2].\nIn this talk\, I will describe recent developments aimed at 
 characterizing and relating the structure and dynamics of\ncomplex systems
  represented by complex networks. The talk will start by addressing the su
 bject of systematic\ncharacterization of connectivity and dynamics in comp
 lex systems [1]. Next\, these concepts are illustrated with\nrespect to co
 mplex systems underlain by geometry\, including morphological neuronal net
 works [3]. I will also\npresent the recently introduced concept of supered
 ges [4] – an approach which natural and comprehensively\nintegrates the 
 topology and dynamics of a given complex system\, as well as the concept o
 f avalanches of\nactivations in complex systems [5] and how they can be mo
 deled in terms of concentric representations of\ncomplex network. Among th
 e presented results\, we have the fact that the occurrence of avalanches i
 s intrinsically\nrelated to the hierarchical organization of the network a
 s well as to the presence of long range connections. It will\nalso be show
 n that the dynamics of avalanches can be used to identify modularity in co
 mplex networks [6].\nDynamical complex systems with dynamical topology and
  moving nodes will also be addressed [7].\n\nBasic References:\n\n[1] - Ch
 aracterization of complex networks: A survey of measurements (http://arxiv
 .org/abs/cond-mat/0505185).\nAdvances in Physics\, 56\, 167 (2007).\n\n[2]
  - Analyzing and Modeling Real-World Phenomena with Complex Networks: A Su
 rvey of Applications\n(http://arxiv.org/abs/0711.3199).\n\n[3] - Morpholog
 ical complex networks: Can individual morphology determine the general con
 nectivity and\ndynamics of networks? (http://arxiv.org/abs/q-bio/0503041).
 \n\n[4] - Superedges: Connecting Structure and Dynamics in Complex Network
 s (http://arxiv.org/abs/0801.4068).\n\n[5] - Modeling the concentric organ
 ization of lattices and path-regular networks and Its Application to Compl
 ex\nNeuronal Networks Analysis (http://hal.archives-ouvertes.fr/hal-002588
 93/en/).\n\n[6] - Activation Confinement inside Complex Networks Communiti
 es (http://arxiv.org/abs/0802.1272).\n\n[7] - 2D pattern evolution constra
 ined by complex networks dynamics (http://arxiv.org/abs/physics/0610001).\
 n\nLDFC thanks FAPESP\, CNPq\, CAPES and St Catharine’s College (Univ. o
 f Cambridge) for support.\n
LOCATION:Lecture Theatre 1\, Computer Laboratory
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