دینامیک پنهان؛ ریاضیات تعویض‌ها، تصمیم‌ها و دیگر رفتارهای متناوب

دسته: ریاضی، فیزیک، مهندسی مکانیک
دینامیک پنهان؛ ریاضیات تعویض‌ها، تصمیم‌ها و دیگر رفتارهای متناوب

سال انتشار: 2018  |  521 صفحه  |  حجم فایل: 19 مگابایت  |  زبان: انگلیسی

Hidden Dynamics: The Mathematics of Switches, Decisions and Other Discontinuous Behaviour
نویسنده:
Mike R. Jeffrey
ناشر:
Springer
ISBN10:
3030021068
ISBN13:
9783030021061

 

قیمت: 6000 تومان

خرید کتاب توسط کلیه کارت های شتاب امکان پذیر است و بلافاصله پس از خرید، لینک دانلود فایل کتاب در اختیار شما قرار خواهد گرفت.

کتابهای مرتبط:

The dream of mathematical modeling is of systems evolving in a continuous, deterministic, predictable way. Unfortunately continuity is lost whenever the `rules of the game' change, whether a change of behavioural regime, or a change of physical properties. From biological mitosis to seizures. From rattling machine parts to earthquakes. From individual decisions to economic crashes. Where discontinuities occur, determinacy is inevitably lost. Typically the physical laws of such change are poorly understood, and too ill-defined for standard mathematics. Discontinuities offer a way to make the bounds of scientific knowledge a part of the model, to analyse a system with detail and rigour, yet still leave room for uncertainty. This is done without recourse to stochastic modeling, instead retaining determinacy as far as possible, and focussing on the geometry of the many outcomes that become possible when it breaks down. In this book the foundations of `piecewise-smooth dynamics' theory are rejuvenated, given new life through the lens of modern nonlinear dynamics and asymptotics. Numerous examples and exercises lead the reader through from basic to advanced analytical methods, particularly new tools for studying stability and bifurcations. The book is aimed at scientists and engineers from any background with a basic grounding in calculus and linear algebra. It seeks to provide an invaluable resource for modeling discontinuous systems, but also to empower the reader to develop their own novel models and discover as yet unknown phenomena.


محصولات مرتبط محصولات مرتبط








ارسال دیدگاه


 (الزامی)  (الزامی)
ایمیل شما نزد مدیر سایت محفوظ بوده و برای عموم نمایش داده نخواهد شد.