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"Pseudochaotic Kicked Oscillators: Renormalization, Symbolic
Dynamics, and Transport" presents recent developments in
pseudochaos, which is concerned with complex branching behaviors of
dynamical systems at the interface between orderly and chaotic
motion. Pseudochaos is characterized by the trapping of orbits in
the vicinity of self-similar hierarchies of islands of stability,
producing phase-space displacements which increase asymptotically
as a power of time. This monograph is a thorough, self-contained
investigation of a simple one-dimensional model (a kicked harmonic
oscillator) which exhibits pseudochaos in its purest form. It is
intended for graduate students and researchers in physics and
applied mathematics, as well as specialists in nonlinear
dynamics.
Dr. John H. Lowenstein is a Professor Emeritus in the Department of
Physics at New York University, USA."
Classical dynamics is one of the cornerstones of advanced education
in physics and applied mathematics, with applications across
engineering, chemistry and biology. In this book, the author uses a
concise and pedagogical style to cover all the topics necessary for
a graduate-level course in dynamics based on Hamiltonian methods.
Readers are introduced to the impressive advances in the field
during the second half of the twentieth century, including KAM
theory and deterministic chaos. Essential to these developments are
some exciting ideas from modern mathematics, which are introduced
carefully and selectively. Core concepts and techniques are
discussed, together with numerous concrete examples to illustrate
key principles. A special feature of the book is the use of
computer software to investigate complex dynamical systems, both
analytically and numerically. This text is ideal for graduate
students and advanced undergraduates who are already familiar with
the Newtonian and Lagrangian treatments of classical mechanics. The
book is well suited to a one-semester course, but is easily adapted
to a more concentrated format of one-quarter or a trimester. A
solutions manual and introduction to Mathematica (R) are available
online at www.cambridge.org/Lowenstein.
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