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An Introduction to Dynamical Systems and Chaos (Hardcover, 1st ed. 2015)
Loot Price: R2,810
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An Introduction to Dynamical Systems and Chaos (Hardcover, 1st ed. 2015)
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The book discusses continuous and discrete systems in systematic
and sequential approaches for all aspects of nonlinear dynamics.
The unique feature of the book is its mathematical theories on flow
bifurcations, oscillatory solutions, symmetry analysis of nonlinear
systems and chaos theory. The logically structured content and
sequential orientation provide readers with a global overview of
the topic. A systematic mathematical approach has been adopted, and
a number of examples worked out in detail and exercises have been
included. Chapters 1-8 are devoted to continuous systems, beginning
with one-dimensional flows. Symmetry is an inherent character of
nonlinear systems, and the Lie invariance principle and its
algorithm for finding symmetries of a system are discussed in Chap.
8. Chapters 9-13 focus on discrete systems, chaos and fractals.
Conjugacy relationship among maps and its properties are described
with proofs. Chaos theory and its connection with fractals,
Hamiltonian flows and symmetries of nonlinear systems are among the
main focuses of this book. Over the past few decades, there has
been an unprecedented interest and advances in nonlinear systems,
chaos theory and fractals, which is reflected in undergraduate and
postgraduate curricula around the world. The book is useful for
courses in dynamical systems and chaos, nonlinear dynamics, etc.,
for advanced undergraduate and postgraduate students in
mathematics, physics and engineering.
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