By Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky
This booklet deals a quick and concise advent to the various points of chaos theory.
While the research of chaotic habit in nonlinear, dynamical platforms is a well-established learn box with ramifications in all parts of technological know-how, there's a lot to be learnt approximately how chaos should be managed and, less than applicable stipulations, can truly be positive within the experience of changing into a keep an eye on parameter for the process below research, stochastic resonance being a first-rate example.
The current paintings stresses the latter facets and, after recalling the paradigm adjustments brought via the concept that of chaos, leads the reader skillfully in the course of the fundamentals of chaos keep watch over via detailing the suitable algorithms for either Hamiltonian and dissipative platforms, between others.
The major a part of the booklet is then dedicated to the problem of synchronization in chaotic structures, an creation to stochastic resonance, and a survey of ratchet types. during this moment, revised and enlarged variation, extra chapters discover the various interfaces of quantum physics and dynamical platforms, interpreting in flip statistical houses of strength spectra, quantum ratchets, and dynamical tunneling, between others.
This textual content is especially compatible for non-specialist scientists, engineers, and utilized mathematical scientists from comparable components, wishing to go into the sector speedy and efficiently.
From the reports of the 1st edition:
This e-book is a superb advent to the main recommendations and keep an eye on of chaos in (random) dynamical platforms [...] The authors locate a good stability among major actual principles and mathematical terminology to arrive their viewers in a powerful and lucid demeanour. This e-book is perfect for anyone who wish to seize speedy the most concerns regarding chaos in discrete and non-stop time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010.
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