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Complex Dynamics and Morphogenesis - An Introduction to Nonlinear Science (Paperback, Softcover reprint of the original 1st ed. 2017)
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Complex Dynamics and Morphogenesis - An Introduction to Nonlinear Science (Paperback, Softcover reprint of the original 1st ed. 2017)
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This book offers an introduction to the physics of nonlinear
phenomena through two complementary approaches: bifurcation theory
and catastrophe theory. Readers will be gradually introduced to the
language and formalisms of nonlinear sciences, which constitute the
framework to describe complex systems. The difficulty with complex
systems is that their evolution cannot be fully predicted because
of the interdependence and interactions between their different
components. Starting with simple examples and working toward an
increasing level of universalization, the work explores diverse
scenarios of bifurcations and elementary catastrophes which
characterize the qualitative behavior of nonlinear systems. The
study of temporal evolution is undertaken using the equations that
characterize stationary or oscillatory solutions, while spatial
analysis introduces the fascinating problem of morphogenesis.
Accessible to undergraduate university students in any discipline
concerned with nonlinear phenomena (physics, mathematics,
chemistry, geology, economy, etc.), this work provides a wealth of
information for teachers and researchers in these various fields.
Chaouqi Misbah is a senior researcher at the CNRS (National Centre
of Scientific Research in France). His work spans from pattern
formation in nonlinear science to complex fluids and biophysics. In
2002 he received a major award from the French Academy of Science
for his achievements and in 2003 Grenoble University honoured him
with a gold medal. Leader of a group of around 40 scientists, he is
a member of the editorial board of the French Academy of Science
since 2013 and also holds numerous national and international
responsibilities.
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