Argyris J., Faust G., Haase M. — An Exploration of Chaos :: Электронная библиотека попечительского совета мехмата МГУ

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Argyris J., Faust G., Haase M. — An Exploration of Chaos

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Название: An Exploration of Chaos

Авторы: Argyris J., Faust G., Haase M.

Аннотация:

This volume is intended as an introductory textbook on the theory of chaos and is addressed to physicists and engineers who wish to be acquainted with this new and exciting science associated with non-linear deterministic systems. Mathematics are, of course, a prc-requisite tool in such a study, and we did not shirk the task of discussing complex mathematical issues while preferring, in general, through inclination and training to focus the attention of the reader on a physical understanding of phenomena.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 739

Добавлена в каталог: 31.01.2010

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Предметный указатель

$\alpha$ -limit set      615
Accumulation point      171 657
action      76
Action variable      85 88 95
Activation energy      685
Activator      582
Adsorption      680 687
Adsorption of CO and O      685
Adsorption, carbon monoxide      682
Adsorption, dissociative      680
Adsorption, heat      682
Adsorption, oxygen      684
Amplitude vector      394
Analysis, harmonic      136
Angle variable      85 88 95
Angular momentum, rate of change      706
Annealing, thermal      692
Aphelion      719
Area contraction      130 598
Arnol'd diffusion      109
Arnol'd tongues      483 511 530 578 667
Arnol'd tongues, cubic circle map      491
Arnol'd tongues, scaling law      545
Arnol'd tongues, self-similarity      488 504
Arnol'd tongues, width      504 545
Arrhenius ansatz      684
Associative memory      396
Asteroid belt, Mars/Jupiter      713
Asymptotic method      616
Attractor      23 50 136
Attractor, Birkhoff — Shaw      577 630
Attractor, characterisation      28 149 248
Attractor, critical      536
Attractor, Duffing      643
Attractor, Henon      228 599
Attractor, Lorenz      131 456 596
Attractor, regular      28 148
Attractor, strange      28 79 131 136 148 468 642
Auger electron spectroscopy (AES)      684
Autocatalysis      582
Autocorrelation      28 136 142 149 467
Autocorrelation, chaotic behaviour      150
Autocorrelation, Fourier transform      143
Autocorrelation, limit cycle      150
Autocorrelation, mean      143
Autocorrelation, point attractor      150
Autocorrelation, torus      150
Autonomous system      29 49
Autonomous system, linear, long-term behaviour      156
Auxiliary forces      74
Averaging method      577 616 646 716
Averaging principle      617 714
Averaging theorem      619 646

Averaging, temporal      617
Avogadro number      688
Baker's transformation      198
Baker's transformation, dissipative      241
Balance of momentum      429 430
Balance, inner energy      434
Balance, kinetic energy      434
Balance, potential energy      433
Basin of attraction, boundary      643 656
Beak formation      630
Behaviour, chaotic      100 118
Behaviour, irregular      109
Behaviour, regular      100
Behaviour, spatial-chaotic      133
Behaviour, temporal-chaotic      133
Belousov — Zhabotinsky reaction      677
Benard cell      422
Benard convection      423 426 439
Benard experiment      422 427
Benard problem      421
Bernoulli hypothesis      633
Bernoulli shift      234 241 247 656
Bernoulli shift, non-linear variant      561 567
Bifurcation analysis      250
Bifurcation cascade, inverse      603
Bifurcation diagram      356 565 602 665
Bifurcation diagram, circle map      511 674
Bifurcation diagram, electrical circuit      525
Bifurcation diagram, logistic map      172 511
Bifurcation diagram, scaling characteristics      370
Bifurcation diagram, universality      376
Bifurcation set      622
Bifurcation theory      259
Bifurcation theory, local      250
Bifurcation, conditions      297
Bifurcation, degenerate      626
Bifurcation, fixed point condition      295
Bifurcation, global      250 626
Bifurcation, global, Lorenz system      446
Bifurcation, Homoclinic      588 595 622 648
Bifurcation, Hopf      256 308
Bifurcation, local      250 294
Bifurcation, local, Lorenz system      446
Bifurcation, logistic map      67
Bifurcation, Neimark — Sacker      338
Bifurcation, normal form, maps      320
Bifurcation, normal form, vector fields      250 295
Bifurcation, overview      314
Bifurcation, pitchfork      253 304
Bifurcation, saddle-node      251 297
Bifurcation, structural stability      315
Bifurcation, subcritical      556
Bifurcation, transcritical      255 301
Bifurcation, zero eigenvalue condition      295

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