Complex systems analysis has become a fascinating topic in modern
research on non-linear dynamics, not only in the physical sciences
but also in the life sciences and the social sciences. After the
era of bifurcation theory, chaos theory, syn- getics, resilience
analysis, network dynamics and evolutionary thinking, currently we
observe an increasing interest in critical transitions of dynamic
real-world systems in many disciplines, such as demography,
biology, psychology, economics, earth sciences, geology,
seismology, medical sciences, and so on. The relevance of this
approach is clearly re?ected in such phenomena as traf?c
congestion, ?nancial crisis, ethnic con?icts, eco-system breakdown,
health failures, etc. This has prompted a world-wide interest in
complex systems. Geographical space is one of the playgrounds for
complex dynamics, as is witnessed by population movements,
transport ?ows, retail developments, urban expansion, lowland
?ooding and so forth. All such dynamic phenomena have one feature
in common: the low predictability of uncertain interrelated events
occurring at different interconnected spatio-temporal scale levels
and often originating from different disciplinary backgrounds. The
study of the associated non-linear (fast and slow) dynamic
transition paths calls for a joint research effort of scientists
from different disciplines in order to understand the nature, the
roots and the con- quences of unexpected or unpredictable changes
in complex spatial systems.
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