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In the field of Dynamical Systems, nonlinear iterative processes
play an important role. Nonlinear mappings can be found as
immediate models for many systems from different scientific areas,
such as engineering, economics, biology, or can also be obtained
via numerical methods permitting to solve non-linear differential
equations. In both cases, the understanding of specific dynamical
behaviors and phenomena is of the greatest interest for scientists.
This volume contains papers that were presented at the
International Workshop on Nonlinear Maps and their Applications
(NOMA 2011) held in Evora, Portugal, on September 15-16, 2011. This
kind of collaborative effort is of paramount importance in
promoting communication among the various groups that work in
dynamical systems and networks in their research theoretical
studies as well as for applications. This volume is suitable for
graduate students as well as researchers in the field.
This book is the first to report on theoretical breakthroughs on
control of complex dynamical systems developed by collaborative
researchers in the two fields of dynamical systems theory and
control theory. As well, its basic point of view is of three kinds
of complexity: bifurcation phenomena subject to model uncertainty,
complex behavior including periodic/quasi-periodic orbits as well
as chaotic orbits, and network complexity emerging from dynamical
interactions between subsystems. Analysis and Control of Complex
Dynamical Systems offers a valuable resource for mathematicians,
physicists, and biophysicists, as well as for researchers in
nonlinear science and control engineering, allowing them to develop
a better fundamental understanding of the analysis and control
synthesis of such complex systems.
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