By B. Fiedler

This guide is quantity II in a sequence accumulating mathematical cutting-edge surveys within the box of dynamical structures. a lot of this box has constructed from
interactions with different components of technological know-how, and this quantity indicates how strategies of dynamical structures extra the certainty of mathematical matters that come up in functions. even though modeling matters are addressed, the relevant topic is the mathematically rigorous research of the ensuing differential equations and their dynamic habit. although, the authors and editors have made an attempt to make sure clarity on a non-technical point for mathematicians from different fields and for different scientists and engineers.

The eighteen surveys accrued the following don't aspire to encyclopedic completeness, yet current chosen paradigms. The surveys are grouped into these emphasizing finite-dimensional tools, numerics, topological equipment, and partial differential equations. program components contain the dynamics of neural networks, fluid flows, nonlinear optics, and lots of others.

While the survey articles should be learn independently, they deeply percentage recurrent issues from dynamical structures. Attractors, bifurcations, middle manifolds, measurement aid, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, common types, recurrence, shift dynamics, balance, to name
just a couple of, are ubiquitous dynamical ideas during the articles.

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