By B. Fiedler
interactions with different parts of technological know-how, and this quantity exhibits how techniques of dynamical platforms extra the certainty of mathematical concerns that come up in purposes. even if modeling matters are addressed, the principal subject 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 gathered right here 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 comprise the dynamics of neural networks, fluid flows, nonlinear optics, and lots of others.
While the survey articles could be learn independently, they deeply proportion recurrent subject matters from dynamical platforms. Attractors, bifurcations, heart manifolds, measurement aid, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, basic kinds, recurrence, shift dynamics, balance, to name
just a couple of, are ubiquitous dynamical strategies during the articles.
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Handbook of Dynamical Systems: 2 by B. Fiedler