By Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky
This ebook deals a quick and concise advent to the various points of chaos theory.
While the research of chaotic habit in nonlinear, dynamical structures is a well-established study box with ramifications in all components of technological know-how, there's a lot to be learnt approximately how chaos might be managed and, less than applicable stipulations, can truly be optimistic within the experience of turning into a keep watch over parameter for the approach less than research, stochastic resonance being a main example.
The current paintings stresses the latter elements and, after recalling the paradigm adjustments brought via the idea that of chaos, leads the reader skillfully during the fundamentals of chaos keep an eye on through detailing the suitable algorithms for either Hamiltonian and dissipative structures, between others.
The major a part of the publication is then dedicated to the difficulty of synchronization in chaotic platforms, an advent to stochastic resonance, and a survey of ratchet types. during this moment, revised and enlarged version, extra chapters discover the various interfaces of quantum physics and dynamical structures, studying in flip statistical homes of power spectra, quantum ratchets, and dynamical tunneling, between others.
This textual content is very 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 wonderful creation to the main innovations and regulate of chaos in (random) dynamical structures [...] The authors locate an excellent stability among major actual rules and mathematical terminology to arrive their viewers in a powerful and lucid demeanour. This publication is perfect for anyone who want to clutch quick the most concerns with regards to chaos in discrete and non-stop time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010.
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Chaos: Concepts, Control and Constructive Use (Understanding Complex Systems) by Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky