Book Review of Non-Traditional Dynamics in Electronics: Theory and Practice

doi:10.4236/jmp.2012.34049

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Journal of Modern Physics, 2012, 3, 355-356

http://dx.doi.org/10.4236/jmp.2012.34049 Published Online April 2012 (http://www.SciRP.org/journal/jmp)

Book Review of Non-Traditional Dynamics in Electronics:

Theory and Practice

V. A. Banakh

Zuev Institute of Atmospheric Optics, Siberian Branch of the Russian Academy of Sciences, Siberia, Russia

Email: [email protected]

Received January 19, 2012; revised February 28, 2012; accepted March 9, 2012

ISBN: 978-1-935068-57-0

237pp Pub.Date: October/2011

Price: $89

The new book published by Scientific Research Pub-

lishers, USA in 2011 is devoted to investigation of prop-

erties of dynamic radio physical systems and to devel-

opment of methodic fundamentals for creation the cha-

otic oscillation sources and forecasting of nonlinear dy-

namic system behavior at variation of its parameters.

The urgency of such investigation execution in this direc-

tion is determined both by the necessity of new ideas de-

velopment in understanding of nonlinear dynamics of

various processes independently upon its affiliation with

the specific physics area and b y need o f th e moder n r adio

physics and radio electronics in sources of wide-band

chaotic oscillations and signals. This book makes a con-

siderable contribution in this area because it contains

theoretical, modeling and experimental results of the

analysis of bifurcation phenomena and processes in cha-

otic systems as well as issues of information transmission

using chaotic signals.

In this book for the first time the auto-parametric sce-

nario of stochastization is described, conditions are for-

mulated, at which movements in arbitrary dynamic sys-

tems are governed by the unified system of spectral-time

eq u a ti ons. Pheno mena of synchronization of chaotic move-

ments and the intermit synchronization are discovered and

investigated in detail. The bifurcation sense of the control

parameter of modified logistic map is revealed, which en-

sures reproduction of strictly chaotic temporal sequences.

The aggregate of this book’s results may be classified as the

new large scientific achievement.

Authenticity of results obtained is determined by its

consistent (became classical) laws of dynamic system

functioning and coincidence of numerical and physical

experiments at testing of offered mathematical models of

dynamic systems, and successful functioning of the de-

scribed radio electron i c devices.

This book contains preface and six chapters. To my

opinion, all materials are reliable and to the right degree

are supported by necessary theoretical and experimental

substantiation. Authors on the basis of numerical and

physical experiments prove earnestly the opportunity of

existence of the strange non-chaotic attractor in non-

autonomous radio electronic circuits at single-frequency

sinusoidal influence and on the basis of result generaliza-

tion of much number of numerical and physical experi-

ments authors offer and substantiate the feasibility for the

wide class oscillator and relaxation generation system of

the specific stochastization scenario, which did not meet

earlier in the scientific publications on nonlinear dynamics.

Theoretical analysis of modified logistic maps (MLM)

and appropriate numerical and physical experiments al-

lows authors to discover and investigate conditions of

arising of the unknown phenomenon—intermittent syn-

ch ron ization. At last, some results of the book are checked

by the function i ng ra di o elect r oni c devices.

Scientific and practical importance of investigations

V. A. BANAKH

356

described in the book consists in the following. The ag-

gregate of theoretical and experimental results presented

in the book is devoted to the separate aspects of nonlin-

ear dynamics but it leads to the more deep understanding

of processes of the chaotic dynamics for the rather wide

class of electronic systems. So, authors specify relation

between Lyapunov fractal and informational dimensions

of the attractor proving the theorem on chaotization of

MLM, substantiate the new scenario of synchronization

and intermittent synchronization or chaotization proc-

esses.

As a whole, the book cannot pretend on finality of re-

search in this direction (it is impossible in the roughly

developed area of knowledge) and it represents the fun-

damental investigation of a series of theoretical and ap-

plied aspects of nonl i near dy n amic electronic systems.

The encyclopaedic knowledge of authors in the field

of nonlinear physics, statistical radio physics, mathe-

matical physics, the theory of random processes, compu-

tational mathematics make this book extremely valuable

and essentially enrich for researchers. Sixth chapter has a

gr ea t significance because in it authors give their own clas-

sification of dynamic systems, objects and processes but

polemize with many authors in the field of nonlinear chaos.

To order: http://www.scirp.org/book/

[email protected]