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Nonlinear stochastic integrators, equations and flows
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ISBN: 2881247334 Year: 1990 Publisher: London Gordon and Breach

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Knots and links in three-dimensional flows
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Year: 1997 Publisher: Berlin: Springer,

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The curve shortening problem
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ISBN: 1584882131 Year: 2001 Publisher: London : Chapman and Hall,

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On some aspects of the theory of Anosov systems
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ISBN: 3540401210 Year: 2004 Publisher: Berlin : New York Springer

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Tangency, flow invariance for differential equations and optimization problems
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ISBN: 0824773411 Year: 1999 Publisher: New York ; Basel Marcel Dekker

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Geophysical waves and flows : theory and applications in the atmosphere, hydrosphere and geosphere
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ISBN: 1316946797 1316953025 1316888851 Year: 2017 Publisher: Cambridge : Cambridge University Press,

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Waves and flows are pervasive on and within Earth. This book presents a unified physical and mathematical approach to waves and flows in the atmosphere, oceans, rivers, volcanoes and the mantle, emphasizing the common physical principles and mathematical methods that apply to a variety of phenomena and disciplines. It is organized into seven parts: introductory material; kinematics, dynamics and rheology; waves in non-rotating fluids; waves in rotating fluids; non-rotating flows; rotating flows; and silicate flows. The chapters are supplemented by 47 'fundaments', containing knowledge that is fundamental to the material presented in the main text, organized into seven appendices: mathematics; dimensions and units; kinematics; dynamics; thermodynamics; waves; and flows. This book is an ideal reference for graduate students and researchers seeking an introduction to the mathematics of waves and flows in the Earth system, and will serve as a supplementary textbook for a number of courses in geophysical fluid dynamics.

Minimal flows and their extensions
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ISBN: 9780444704535 0444704531 9780080872643 0080872646 1281793221 9781281793225 9786611793227 Year: 1988 Publisher: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,

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This monograph presents developments in the abstract theory of topological dynamics, concentrating on the internal structure of minimal flows (actions of groups on compact Hausdorff spaces for which every orbit is dense) and their homomorphisms (continuous equivariant maps). Various classes of minimal flows (equicontinuous, distal, point distal) are intensively studied, and a general structure theorem is obtained. Another theme is the ``universal'' approach - entire classes of minimal flows are studied, rather than flows in isolation. This leads to the consideration of disjointness of flows,


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Geometry in the neighborhood of invariant manifolds of maps and flows and linearization
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ISBN: 0582062683 0470216573 Year: 1990 Publisher: Harlow : Longman scientific and technical,

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Elegant chaos
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ISBN: 1282757660 9786612757662 9812838821 9789812838827 9789812838810 9812838813 Year: 2010 Publisher: New Jersey World Scientific

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This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos.The

Flows on 2-dimensional manifolds : an overview
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ISBN: 3540660062 Year: 1999 Publisher: Berlin ; Heidelberg ; New York Springer-Verlag

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