Singularity and Dynamics on Discontinuous Vector Fields

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Download Singularity And Dynamics On Discontinuous Vector Fields

Overview This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable to discontinuous dynamical systems in physics, engineering and control.

In addition, they may provide useful tools to solve non-traditional dynamics in biology, stock market and internet network et al, which cannot be easily solved by the traditional Newton mechanics. The author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in dynamics.

Challenging continuous Newton's dynamics Original theory and seeds of new researches in the field Wide spectrum of applications in science and engineering Systematic presentation and clear illustrations. About the Author Albert C. Luo received his B. From present, Dr. During 20 year research experience, Dr.

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Luo developed stochastic and resonant layer theories in nonlinear Hamiltonian systems; a local theory for non-smooth dynamical systems on connectable domains. In addition, Dr, Luo also developed an approximate plate theory; a large damage theory for anisotropic materials and a generalized fractal theory.

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Search for books, journals or webpages The divergence can also be defined on a Riemannian manifold , that is, a manifold with a Riemannian metric that measures the length of vectors. Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle. Sorry, this product is currently out of stock. This quantity controls a bifurcation, in which the initially repelling singularity becomes the apex of a pair of parabolic invariant surfaces.

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Bifurcations and chaos in converters. Discontinuous vector fields and singular Poincaré maps

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Line integrals and vector fields - Multivariable Calculus - Khan Academy

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