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CATEGORIES:Computer Laboratory Wednesday Seminars
SUMMARY:STRUCTURE AND DYNAMICS IN COMPLEX SYSTEMS - Prof L
uciano da Fontoura Costa\, University of São Paulo
\, Brazil
DTSTART;TZID=Europe/London:20080903T141500
DTEND;TZID=Europe/London:20080903T151500
UID:TALK13215AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/13215
DESCRIPTION:ABSTRACT\nComplex systems\, from the Internet to t
he brain\, remain as the last pending challenges f
or science. Because of\ntheir intricate structure
and dynamics\, such systems are unlikely to disclo
se their secrets to simpler scientific\napproaches
such as linear system analysis. More sophisticate
d and effective concepts and methods are required
in\norder to tackle those problems. Because of the
ir generality [1]\, complex networks represent a n
atural alternative\nfor representing\, characteriz
ing and modeling the structure and non-linear dyna
mics of all discrete complex\nsystems [2].\nIn thi
s talk\, I will describe recent developments aimed
at characterizing and relating the structure and
dynamics of\ncomplex systems represented by comple
x networks. The talk will start by addressing the
subject of systematic\ncharacterization of connect
ivity and dynamics in complex systems [1]. Next\,
these concepts are illustrated with\nrespect to co
mplex systems underlain by geometry\, including mo
rphological neuronal networks [3]. I will also\npr
esent the recently introduced concept of superedge
s [4] – an approach which natural and comprehensiv
ely\nintegrates the topology and dynamics of a giv
en complex system\, as well as the concept of aval
anches of\nactivations in complex systems [5] and
how they can be modeled in terms of concentric rep
resentations of\ncomplex network. Among the presen
ted results\, we have the fact that the occurrence
of avalanches is intrinsically\nrelated to the hi
erarchical organization of the network as well as
to the presence of long range connections. It will
\nalso be shown that the dynamics of avalanches ca
n be used to identify modularity in complex networ
ks [6].\nDynamical complex systems with dynamical
topology and moving nodes will also be addressed [
7].\n\nBasic References:\n\n[1] - Characterization
of complex networks: A survey of measurements (ht
tp://arxiv.org/abs/cond-mat/0505185).\nAdvances in
Physics\, 56\, 167 (2007).\n\n[2] - Analyzing and
Modeling Real-World Phenomena with Complex Networ
ks: A Survey of Applications\n(http://arxiv.org/ab
s/0711.3199).\n\n[3] - Morphological complex netwo
rks: Can individual morphology determine the gener
al connectivity and\ndynamics of networks? (http:/
/arxiv.org/abs/q-bio/0503041).\n\n[4] - Superedges
: Connecting Structure and Dynamics in Complex Net
works (http://arxiv.org/abs/0801.4068).\n\n[5] - M
odeling the concentric organization of lattices an
d path-regular networks and Its Application to Com
plex\nNeuronal Networks Analysis (http://hal.archi
ves-ouvertes.fr/hal-00258893/en/).\n\n[6] - Activa
tion Confinement inside Complex Networks Communiti
es (http://arxiv.org/abs/0802.1272).\n\n[7] - 2D p
attern evolution constrained by complex networks d
ynamics (http://arxiv.org/abs/physics/0610001).\n\
nLDFC thanks FAPESP\, CNPq\, CAPES and St Catharin
e’s College (Univ. of Cambridge) for support.\n
LOCATION:Lecture Theatre 1\, Computer Laboratory
CONTACT:Timothy G. Griffin
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