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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.
Modeling Biomolecular Networks in Cells shows how the interaction
between the molecular components of basic living organisms can be
modelled mathematically and the models used to create artificial
biological entities within cells. Such forward engineering is a
difficult task but the nonlinear dynamical methods espoused in this
book simplify the biology so that it can be successfully understood
and the synthesis of simple biological oscillators and
rhythm-generators made feasible. Such simple units can then be
co-ordinated using intercellular signal biomolecules. The formation
of such man-made multicellular networks with a view to the
production of biosensors, logic gates, new forms of integrated
circuitry based on "gene-chips" and even biological computers is an
important step in the design of faster and more flexible
"electronics". The book also provides theoretical frameworks and
tools with which to analyze the nonlinear dynamical phenomena which
arise from the connection of building units in a biomolecular
network.
Modeling Biomolecular Networks in Cells shows how the interaction
between the molecular components of basic living organisms can be
modelled mathematically and the models used to create artificial
biological entities within cells. Such forward engineering is a
difficult task but the nonlinear dynamical methods espoused in this
book simplify the biology so that it can be successfully understood
and the synthesis of simple biological oscillators and
rhythm-generators made feasible. Such simple units can then be
co-ordinated using intercellular signal biomolecules. The formation
of such man-made multicellular networks with a view to the
production of biosensors, logic gates, new forms of integrated
circuitry based on "gene-chips" and even biological computers is an
important step in the design of faster and more flexible
"electronics". The book also provides theoretical frameworks and
tools with which to analyze the nonlinear dynamical phenomena which
arise from the connection of building units in a biomolecular
network.
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