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Chaos and nonlinear dynamics initially developed as a new emergent
field with its foundation in physics and applied mathematics. The
highly generic, interdisciplinary quality of the insights gained in
the last few decades has spawned myriad applications in almost all
branches of science and technology—and even well beyond. Wherever
quantitative modeling and analysis of complex, nonlinear phenomena
is required, chaos theory and its methods can play a key role. his
fourth volume concentrates on reviewing further relevant
contemporary applications of chaotic and nonlinear dynamics as they
apply to the various cuttingedge branches of science and
engineering. This encompasses, but is not limited to, topics such
as synchronization in complex networks and chaotic circuits, time
series analysis, ecological and biological patterns, stochastic
control theory and vibrations in mechanical systems. Featuring
contributions from active and leading research groups, this
collection is ideal both as a reference and as a ‘recipe book’
full of tried and tested, successful engineering applications.
Scientists have always attempted to explain the world in terms of a
few unifying principles. In the fifth century B.C. Democritus
boldly claimed that reality is simply a collection of indivisible
and eternal parts or atoms. Over the centuries his doctrine has
remained a landmark, and much progress in physics is due to its
distinction between subjective perception and objective reality.
This book discusses theory reduction in physics, which states that
the whole is nothing more than the sum of its parts: the properties
of things are directly determined by their constituent parts.
Reductionism deals with the relation between different theories
that address different levels of reality, and uses extrapolations
to apply that relation in different sciences. Reality shows a
complex structure of connections, and the dream of a unified
interpretation of all phenomena in several simple laws continues to
attract anyone with genuine philosophical and scientific interests.
If the most radical reductionist point of view is correct, the
relationship between disciplines is strictly inclusive: chemistry
becomes physics, biology becomes chemistry, and so on. Eventually,
only one science, indeed just a single theory, would survive, with
all others merging in the Theory of Everything. Is the current
coexistence of different sciences a mere historical venture which
will end when the Theory of Everything has been established? Can
there be a unified description of nature? Rather than an analysis
of full reductionism, this book focuses on aspects of theory
reduction in physics and stimulates reflection on related
questions: is there any evidence of actual reduction? Are the
examples used in the philosophy of science too simplistic? What has
been endangered by the search for (the) ultimate truth? Has the
dream of reductionist reason created any monsters? Is big science
one such monster? What is the point of embedding science Y within
science X, if predictions cannot be made on that basis?
Chaos and nonlinear dynamics initially developed as a new emergent
field with its foundation in physics and applied mathematics. The
highly generic, interdisciplinary quality of the insights gained in
the last few decades has spawned myriad applications in almost all
branches of science and technology-and even well beyond. Wherever
quantitative modeling and analysis of complex, nonlinear phenomena
is required, chaos theory and its methods can play a key role. This
third volume concentrates on reviewing further relevant
contemporary applications of chaotic nonlinear systems as they
apply to the various cutting-edge branches of engineering. This
encompasses, but is not limited to, topics such fluctuation
relations and chaotic dynamics in physics, fractals and their
applications in epileptic seizures, as well as chaos
synchronization. Featuring contributions from active and leading
research groups, this collection is ideal both as a reference and
as a 'recipe book' full of tried and tested, successful engineering
applications.
Chaos and nonlinear dynamics initially developed as a new emergent
field with its foundation in physics and applied mathematics. The
highly generic, interdisciplinary quality of the insights gained in
the last few decades has spawned myriad applications in almost all
branches of science and technology-and even well beyond. Wherever
quantitative modeling and analysis of complex, nonlinear phenomena
is required, chaos theory and its methods can play a key role. his
fourth volume concentrates on reviewing further relevant
contemporary applications of chaotic and nonlinear dynamics as they
apply to the various cuttingedge branches of science and
engineering. This encompasses, but is not limited to, topics such
as synchronization in complex networks and chaotic circuits, time
series analysis, ecological and biological patterns, stochastic
control theory and vibrations in mechanical systems. Featuring
contributions from active and leading research groups, this
collection is ideal both as a reference and as a 'recipe book' full
of tried and tested, successful engineering applications.
Chaos and nonlinear dynamics initially developed as a new emergent
field with its foundation in physics and applied mathematics. The
highly generic, interdisciplinary quality of the insights gained in
the last few decades has spawned myriad applications in almost all
branches of science and technology-and even well beyond. Wherever
the quantitative modeling and analysis of complex, nonlinear
phenomena are required, chaos theory and its methods can play a key
role. This second volume concentrates on reviewing further
relevant, contemporary applications of chaotic nonlinear systems as
they apply to the various cutting-edge branches of engineering.
This encompasses, but is not limited to, topics such as the spread
of epidemics; electronic circuits; chaos control in mechanical
devices; secure communication; and digital watermarking. Featuring
contributions from active and leading research groups, this
collection is ideal both as a reference work and as a 'recipe book'
full of tried and tested, successful engineering applications.
Scientists have always attempted to explain the world in terms
of a few unifying principles. In the fifth century B.C. Democritus
boldly claimed that reality is simply a collection of indivisible
and eternal parts or atoms. Over the centuries his doctrine has
remained a landmark, and much progress in physics is due to its
distinction between subjective perception and objective reality.
This book discusses theory reduction in physics, which states that
the whole is nothing more than the sum of its parts: the properties
of things are directly determined by their constituent parts.
Reductionism deals with the relation between different theories
that address different levels of reality, and uses extrapolations
to apply that relation in different sciences. Reality shows a
complex structure of connections, and the dream of a unified
interpretation of all phenomena in several simple laws continues to
attract anyone with genuine philosophical and scientific interests.
If the most radical reductionist point of view is correct, the
relationship between disciplines is strictly inclusive: chemistry
becomes physics, biology becomes chemistry, and so on. Eventually,
only one science, indeed just a single theory, would survive, with
all others merging in the Theory of Everything. Is the current
coexistence of different sciences a mere historical venture which
will end when the Theory of Everything has been established? Can
there be a unified description of nature?
Rather than an analysis of full reductionism, this book focuses on
aspects of theory reduction in physics and stimulates reflection on
related questions: is there any evidence of actual reduction? Are
the examples used in the philosophy of science too simplistic? What
has been endangered by the search for (the) ultimate truth? Has the
dream of reductionist reason created any monsters? Is big science
one such monster? What is the point of embedding science Y within
science X, if predictions cannot be made on that basis?
Chaos and nonlinear dynamics initially developed as a new emergent
field with its foundation in physics and applied mathematics. The
highly generic, interdisciplinary quality of the insights gained in
the last few decades has spawned myriad applications in almost all
branches of science and technology-and even well beyond. Wherever
quantitative modeling and analysis of complex, nonlinear phenomena
is required, chaos theory and its methods can play a key role. This
volume concentrates on reviewing the most relevant contemporary
applications of chaotic nonlinear systems as they apply to the
various cutting-edge branches of engineering. The book covers the
theory as applied to robotics, electronic and communication
engineering (for example chaos synchronization and cryptography) as
well as to civil and mechanical engineering, where its use in
damage monitoring and control is explored). Featuring contributions
from active and leading research groups, this collection is ideal
both as a reference and as a 'recipe book' full of tried and
tested, successful engineering applications
Chaos and nonlinear dynamics initially developed as a new emergent
field with its foundation in physics and applied mathematics. The
highly generic, interdisciplinary quality of the insights gained in
the last few decades has spawned myriad applications in almost all
branches of science and technology-and even well beyond. Wherever
quantitative modeling and analysis of complex, nonlinear phenomena
is required, chaos theory and its methods can play a key role. This
third volume concentrates on reviewing further relevant
contemporary applications of chaotic nonlinear systems as they
apply to the various cutting-edge branches of engineering. This
encompasses, but is not limited to, topics such fluctuation
relations and chaotic dynamics in physics, fractals and their
applications in epileptic seizures, as well as chaos
synchronization. Featuring contributions from active and leading
research groups, this collection is ideal both as a reference and
as a 'recipe book' full of tried and tested, successful engineering
applications.
Chaos and nonlinear dynamics initially developed as a new emergent
field with its foundation in physics and applied mathematics. The
highly generic, interdisciplinary quality of the insights gained in
the last few decades has spawned myriad applications in almost all
branches of science and technology-and even well beyond. Wherever
the quantitative modeling and analysis of complex, nonlinear
phenomena are required, chaos theory and its methods can play a key
role.
This second volume concentrates on reviewing further relevant,
contemporary applications of chaotic nonlinear systems as they
apply to the various cutting-edge branches of engineering. This
encompasses, but is not limited to, topics such as the spread of
epidemics; electronic circuits; chaos control in mechanical
devices; secure communication; and digital watermarking.
Featuring contributions from active and leading research groups,
this collection is ideal both as a reference work and as a 'recipe
book' full of tried and tested, successful engineering
applications."
Chaos and nonlinear dynamics initially developed as a new emergent
field with its foundation in physics and applied mathematics. The
highly generic, interdisciplinary quality of the insights gained in
the last few decades has spawned myriad applications in almost all
branches of science and technology-and even well beyond. Wherever
quantitative modeling and analysis of complex, nonlinear phenomena
is required, chaos theory and its methods can play a key role. This
volume concentrates on reviewing the most relevant contemporary
applications of chaotic nonlinear systems as they apply to the
various cutting-edge branches of engineering. The book covers the
theory as applied to robotics, electronic and communication
engineering (for example chaos synchronization and cryptography) as
well as to civil and mechanical engineering, where its use in
damage monitoring and control is explored). Featuring contributions
from active and leading research groups, this collection is ideal
both as a reference and as a 'recipe book' full of tried and
tested, successful engineering applications
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