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The closed orbits of three-dimensional flows form knots and links.
This book develops the tools - template theory and symbolic
dynamics - needed for studying knotted orbits. This theory is
applied to the problems of understanding local and global
bifurcations, as well as the embedding data of orbits in
Morse-smale, Smale, and integrable Hamiltonian flows. The
necesssary background theory is sketched; however, some familiarity
with low-dimensional topology and differential equations is
assumed.
"In Search of a Perfect World" examines the basic questions of
human life on Earth: Who are we? Where did we come from? Why are we
here? And where are we going? In attempting to answer these
questions, humans have formed religious, social and political
groups and launched wars to remove impediments to their visions of
a more-perfect world. Intentional or utopian communities have been
similarly inspired. Throughout the world, many cultures have
maintained a belief that the world was once a better, more
harmonious place and -and will be again, after some form of
cataclysm and the arrival of a savior or redeemer. This phenomenon,
in some societies, is known as millennialism.
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