Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Lynch S. — Dynamical Systems with Applications Using Mathematica®
Lynch S. — Dynamical Systems with Applications Using Mathematica®

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Dynamical Systems with Applications Using Mathematica®

Автор: Lynch S.

Аннотация:

Dynamical Systems with Applications Using Mathematica® provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks.

Throughout the book, the author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum. The first part of the book deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Exercises are included at the end of every chapter. Both textbooks and research papers are presented in the list of references.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2007

Количество страниц: 448

Добавлена в каталог: 10.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$D_q$      345
$E_C$      151
$E_S$      48 146 151
$E_U$      48 146 151
$f(\?lpha)$ spectrum      345
$W_C$      151
$W_S$      55 150
$W_U$      55 150
$Z_q$      345
$\tau (q)$      345
Absorptive nonlinearity      309
Action potential      87
Activation function      389 415
Activation level      399
Activation potential      390
ADALINE network      391
Affine linear transformation      337
Age class      80 247
Algebraicity of limit cycles      228
Ampere      29
Ampere’s Law      307
Anemia      285
Angular frequency of the wave      308
animate      437
Ants and termites      70
Aperiodic      160 273
Aperiodic behavior      156
Applying a damper      365
Arrhythmic      366
Artificial Intelligence Group      394
Artificial Neural Networks      388
Associative memory      392 398
Asymptotic expansion      98
Asymptotically stable critical point      117
Asynchronous updating      403
Attractor      156
Attributes      396
Autocatalysis      163
Autonomous differential equation      32
Autonomous system      146
Auxiliary system      378
Auxiliary system approach      378
Average Lyapunov exponent      280
Axial flow compressors      138
Axon,      389
Axon, algorithm      396
Axon, backpropagation      394
Backward training      296
Bandwidth      308
Barnsley’s fern      338
Basin of attraction      124 156 284 296
Basis      202
Batch data      398
Belousov — Zhabotinski reaction      162 168
Bendixson’s criteria      95
Bias      389
Bifurcating limit cycles from a center      207
Bifurcation at infinity      219
Bifurcation, curve      130
Bifurcation, diagram      130
Bifurcation, diagram, CR resonator      311
Bifurcation, diagram, Duffing equation      187
Bifurcation, diagram, Gaussian map      283
Bifurcation, diagram, logistic map      278
Bifurcation, diagram, neuromodule      411
Bifurcation, diagram, SFR resonator      322
Bifurcation, point      275
Bifurcation, value      128
biology      285
Bipolar activation function      390
Bistability      137 139 281 322 408
Bistable      139 165 282 309
Bistable, cycle      162
Bistable, device      308 323
Bistable, neuromodule      410
Bistable, optical resonator      366
Bistable, region      188 193 311 316 411
Bistable, solution      139
Blowflies      274
Bluegill sunfish      78
Boston housing data      396
Boundaries of periodic orbits      298
Box-Counting Dimension      340 345
Brain functions      388
Butterfly effect      159
Button      2
Canonical form      42 43 146
Cantor, multifractal      350
Cantor, set      189 332
Capacitance      30
Cardioid      299
Cardiology      363
Carrying capacity      21
Cavity, ring (CR) resonator      309
Cavity, round-trip time      310
Center      45 113 196
Center, manifold      151
Center, manifold, theorem      151
Changing the system parameters      365
Chaologist      364
Chaos      154 264 266 311
Chaos, control      408 417
Chaos, control, OGY method      365 367
Chaos, control, periodic proportional pulses      382
Chaos, game      336
Chaos, synchronization      376
Chaotic attractor      156 184 317
Chaotic attractor, Henon map      372
Chaotic attractor, neuromodule      409
Chaotic attractor, Sierpin?ski      337
Chaotic dynamics      158
Chaotic phenomena      262
Chapman cycle      167
Characteristic equation      244
Characteristic exponent      228
Characteristic multiplier      175
Charge density      307
Chemical kinetics      25 61 89 162 376
Chemical law of mass action      25
Chemical reaction      37
Chemical signals      389
Chemical substance      38
Chua’s circuit      89 160 365 383
Circle map      176
Circular frequency of light      310
Classical symmetry argument      198
Classification of critical points      48
Clipping problem      348
Clockwise, bistable cycle      440
Clockwise, hysteresis      311
Clockwise, hysteresis, loop      193
Cluster      392
Coarse Holder exponent      347
Codimension 1 bifurcation      142
Codimension 2 bifurcation      142
coexistence      70
Coexisting chaotic attractors      284
col      44
ColorFunction      297
Commutative ring      201
Competing species      69 82 108
compile      288 300
Complete synchronization      376
Completely integrable      178
Completely reduced      203
COMPLEX      300
Complex, eigenvalues      44 244
Complex, iterative equation      318
Compound interest      242
Computer algebra      201
Concentration      25
Conditional Lyapunov exponents      377
Conductivity      307
Conformal mapping      294
Conservation of energy      112
Conservation of mass      62
Conservative      112
Contact rate      168
Content-addressable memory      399
Control, curves      370
Control, engineering      393
Control, parameter      367
Control, region      367
Controlling chaos, Henon map      372
Controlling chaos, logistic map      368
Conversational agents      394
Convex closed curve      94
Convoluted surfaces      150
Core area of the fiber      314
Corollary to Poincare — Bendixson theorem      91
Correlation dimension      346
Coulomb      29
Coulomb’s law      30
Counterclockwise hysteresis      311
Coupler      313
Critical point      34 48 146 150
Critical point at infinity      222
Culling      80
Culling, policy      251
Current      29
Current, density      307
Cusp      61
Cylindrical polar coordinates      152
Damping      88
Damping coefficient      227
Dangerous bifurcation      138
Daphnia dentifera      78
Data Mining      388
databases      396
Defibrillator      366
Degenerate, critical point      113
Degenerate, node      46
Degree      218
Degree, lexicographical order      202
Deleted neighborhood      92
Delta learning rule      391 394
Demonstrations Project      9
Dendrites      389
Derivative of the Poincare map test      175
Desired vector      394
Deterministic      154
Deterministic chaos      154 364
Deterministic system      388
df      338
Dielectric      308
Difference equation      242 416
Differential amplifier      308
Diffusion limited aggregates (DLA)      350
DIMENSION      345
dimensions      411
Direction, field      42
Direction, vector      42
Dispersive nonlinearity      309
Displacement function      197
DisplayFunction      64
Distributive laws      201
Divergence test      197
DO      9
Domain of stability      71 156 296
Double coupler fiber ring resonator      311 328
Double scroll attractor      162
Double well potential      117
Driver system      376 378
Drop      288
DSOLVE      35
Duffing equation      98 183
Duffing system      365 425
Dulac’s criteria      92
Dulac’s theorem      218
Economics      67 286 291 376
Economics, model      246
Eigenvector      46
Electric circuit      29 66 89 160 399
Electric displacement      307
Electric displacement, vector      307
electric field      313 318 366
Electric field, strength      306
Electric flux density      307
electromotive force (EMF)      30
Elliptic integral      208
Energy level      180
Enrichment of prey      80
Environmental effects      80
Epidemic      38 60 80 88 168
Epoch      392
Equilibrium point      34
Ergodicity      279 367
Error, backpropagation rule      396
Error, function      394
Erythrocytes      285
Euclidean dimension      345
Exact      21
Exact differential equation      21
Examination-type questions      421
Excitatory      389
Existence and uniqueness limit cycle      89
Existence, theorem      32
Extinct      70
Fabry — Perot interferometer      309
Fabry — Perot resonator      309
Farad      30
Faraday’s law      30
Faraday’s law of induction      306
Feedback      139 308 321
Feedback, mechanism      410
Feedforward single-layer network      391
Feigenbaum constant      279
Fiber parameters      325
Fibonacci sequence      9 256
Field      201
Fine focus      196
First integral      112
First iterative method      320 324 417
First return map      172
First-order difference equation      242
Fish population      20 141 258
Fitzhugh — Nagumo equations      87
Fitzhugh — Nagumo oscillator      87
Fixed point      34 266
Fixed point, period, m      176
Fixed point, period, N      271
Fixed point, period, one      172 315 369
Fixed point, period, two      369
Fixed point, size box-counting algorithm      348
Fixed point, weight box-counting algorithm      348
Flatten      189
Flow      89
Focal values      197
Fold bifurcation      142
Forced system      181
Forward rate constant      26
Fossil dating      36
Fractal      332 339
Fractal, attractor      156 338
Fractal, Cantor set      339
Fractal, dimension      338
Fractal, geometry      332
Fractal, Koch, curve      339
Fractal, Koch, square      339
Fractal, Sierpinski triangle      340
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте