Nonlinear Wave Dynamics by J Engelbrecht

Nonlinear Wave Dynamics by J Engelbrecht

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.

SKU	Unavailable
ISBN 13	9780792345084
ISBN 10	0792345088
Title	Nonlinear Wave Dynamics
Author	J Engelbrecht
Series	Texts In The Mathematical Sciences
Condition	Unavailable
Binding Type	Hardback
Publisher	Kluwer Academic Publishers
Year published	1997-05-31
Number of pages	185
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable