Kunihiko Kaneko, Ichiro Tsuda.
Complex Systems: Chaos and Beyond: a constructive approach with applicatons in life sciences.
Springer. 2000
The necessity to study complex systems has been recognized in
several branches of science, in particular biological science.
Based on a background of physics and nonlinear dynamics,
the authors propose a constructive approach
and dynamic many-to-many relationship for such a study.
The relevance of chaos to complex systems is discussed as a concept
to overcome the antitheses between determinism and nondeterminism,
order and randomness, and reductionism and holism.
By presenting an information-theoretical viewpoint of chaos,
phenomena and concepts in the network of chaos elements,
the authors set out to find new methods to deal with biological networks,
in particular the brain, and also to illustrate their constructive approach
with many examples from physics, biology and information technology.
While maintaining a high level of rigour, an overly complicated mathematical apparatus
is avoided in order to make this book accessible, beyond the specialist level,
to a wider interdisciplinary readership.