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Sun J.Q. (Ed), Luo A.C. (Ed) — Bifurcation and Chaos in Complex Systems
Sun J.Q. (Ed), Luo A.C. (Ed) — Bifurcation and Chaos in Complex Systems



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Название: Bifurcation and Chaos in Complex Systems

Авторы: Sun J.Q. (Ed), Luo A.C. (Ed)

Аннотация:

The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems. The contributing authors of the book are all distinguished researchers in this interesting subject area. The first two chapters deal with the fundamental theoretical issues of bifurcation analysis in smooth and non-smooth dynamical systems. The cell mapping methods are presented for global bifurcations in stochastic and deterministic, nonlinear dynamical systems in the third chapter. The fourth chapter studies bifurcations and chaos in time-varying, parametrically excited nonlinear dynamical systems. The fifth chapter presents bifurcation analyses of modal interactions in distributed, nonlinear, dynamical systems of circular thin von Karman plates. The theories, methods and results presented in this book are of great interest to scientists and engineers in a wide range of disciplines. This book can be adopted as references for mathematicians, scientists, engineers and graduate students conducting research in nonlinear dynamical systems.

* New Views for Difficult Problems
* Novel Ideas and Concepts
* Hilbert's 16th Problem
* Normal Forms in Polynomial Hamiltonian Systems
* Grazing Flow in Non-smooth Dynamical Systems
* Stochastic and Fuzzy Nonlinear Dynamical Systems
* Fuzzy Bifurcation
* Parametrical, Nonlinear Systems
* Mode Interactions in nonlinear dynamical systems


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 388

Добавлена в каталог: 23.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Liao, X.X.      73 86 123
Librescu, L.      6 7 9 12 18 19 123 125
Lienard equation      3
Lienard, A.      3 123
Likins, P.W.      281 337
Limit cycle      3 5—7
Lin, C.F.      73 122
Lin, Y.K      214 277
Lindh, K.G.      281 337
Lindstedt, A.      282 337
Lindtner, E.      281 337
Ling, S.J.      73 124
Liu, Y.      38 46 121
Liu, Y.R.      44 46 47 122 123
Liu, Z.      38 50 53 123
Lloyd, N.G.      41 47 122 123
Local singularity      141 187
Logistic map      215
Lorenz system      79
Lorenz, E.N.      4 73 74 123
Lu, J.      75 76 123 259 274
Lu, J.H.      73 122 123
Lugiato, L.A.      212 274
Lukes, D.L.      283 314 337
Lund, S.      12 122
Luo, A.C.J.      127—129 133 153 155 156 158 161 163 164 186 189 190
Lyapunov — Floquet (L — F)      282 289
Lyapunov — Floquet (L — F), transformation      289 290
Lyapunov — Floquet (L — F), transformation, complex      289 290
Lyapunov — Floquet (L — F), transformation, real      289 290
Lyapunov, A.M.      282 337
Lynch, S.      5 123
Malhieu.E.      281 337
Malkin, I.G.      285 292 337
Malkin, K.E.      38 123
Marginal stability      288
Markov chains      233
Martizez, M.      73 124
Marzocca, P.      6 7 9 12 18 19 123 125
Masri, S.F.      127 128 190
Mathieu, equation      281
Mathieu, oscillator      240
Matsumoto, T.      105 122 124
Matsuzaki, Y.      327 337
Maulloo, A.      24 122
May, R.M.      215 277
McDonald, S.W.      202 277
McKillip, R.M.      280 337
Mclachlan, K.      128 189
Me!nikov, V.K.      6 53 124
Mealh, W,J.      281 338
Membership grade      232
Menon, S.      128 190
Meunier, C      214 230 239 277
Michel, A.J.      28 190
Mikina, S J.      128 189
Mingori, D.L.      281 337
Mitropolsky, Y.A.      283 336
Modal, interactions      339
Modal, system      92
Mohler, R.H.      314 337
Moiola, LL.      4 24 37 79 80 121 122
Monte Carlo simulation method      214
Mook, D.T.      280 284 337 340 341 343 347—351 361 376
Multiple scales      43
Multiplicative fuzzy noise      248
n-step membership distribution vector      232
Nalsiavas, S.      128 190
Namachchivaya, N.S.      245 277
Narducci, L.M.      212 274
Nayfeh, AH.      3 7 37 124 259 277 280 281 284 288 337 340 341 343 347—351 361 376
Nayfeh, TA.      352 376
Neimark — Sacker bifurcation      288
Neufeld, R.W.J.      101 102 124
Nicolis, G.      92 124
Nigum, N.C.      214 277
Noisy crisis      221
Nonpassable boundary of the first kind      138 139
Nonpassable boundary of the second kind      138 140
Nonresonant      12
Nonuniform circular plates      341
Nordmark, A.B.      128 189 190
Normal form      14 296
Normal form, theory      7 38 42
Noyes, R.M.      104 122
Nusse, H.E.      205 277
One-step transition membership      232
One-step transition membership, matrix      232 233
Onoda, J.      258 277
Oppenheim, A.V.      73 122
Optimal control problem      259
Optimal semiactive control      258 259
Oregonator model      104
Oriented boundary      132
Ott, E.      4 73 124 198 202 205 242 259 275 277
Pandiyan. R.      285 290 292 337 338
Pecora, L.M.      73 124
Pendulum      319
Peren, J.P.      73 124
Period doubling      288
Periodic motions      194
Perko, L.M.      6 124
Perturbation technique      42
Perturbed Hamiltonian system      50
Pesheck, E.      94 99 124
Picard iteration      297
Piecewise linear systems      150
Pierre, C.      94 99 124
Place, C.M.      284 285 312 313 335
Poincare map      194
Poincare map, fuzzy      231
Poincare, H.      3 124 127 190 283 337
Ponce, E      230 275
Popp, K.      128 190
Popplewell, N.      128 789
Positive Lagrangian function      259
Powell, J.L.      281 337
Prigogine, L      92 124
Primary resonance      348
Psychological model      101
Pugh, C      128 159
Quantitative bifurcation analysis      332
Quasiperiodic      15
Rand, D.      245 276
Random, coefficient      215
Random, map      217
Reduction      293
Regular crisis      198
Reilmann, V.      74 123
Resonant, frequency      309
Resonant, periodic term      309
Richards, J.A.      281 337
Rigney, D.R.      281 J37
Risken, H.      233 277
Rizk, C.G.      193 277
Robbins, K.A.      281 335
Rong, H.      194 226—229 278
Roppo, M.N.      281 337
Roseau, M.      280 337
Rosenblat, S.      281 337
Rossler, O.E.      73 97 103 124 211 277
Routh — Hurwitz criterion      287
Saddle-node bifurcation      2 262
Salpalhy.P.K.      230 277
Samoalenko, S.B.      341 376
Sampling point method      232
Sanchez, E.N.      73 124
Sanchez, N.E.      281 137
Sanders, J.A.      283 284 337
Sandler, U.      232 275
Schenk-Hoppe, K.R.      245 277
Schiehlen.W.      128 759
Self-cycling set      197
Semiactive control      259
Semipassable      133
Semipassable, boundary      136
Semipassable, boundary, sets      134
Semipassable, from the domain $\Omega_i$ to $\Omega_j$      136
Senator, M.      128 190
Separable domain      139
Shaw, S.W.      94 99 124 128 190
Shieh, L.S.      73 122
Shifted Chebyshev polynomials      290
Shih, H.T.      24 127
Shinoziika, M.      221 277
Shrier, A.      281 336
Shur — Cohn criterion      287
Sieber, J.      24 124
Silva, W.A.      6 7 18 123
Simic, S.N      128 159
Simple cell mapping      193
singular      133
Singular point method      44
Singular sets      132
Sinha, S.C.      283 285—287 290—292 297 299 318 321 324—326 330—332 335 336—338
Sinilh, S.M.      193 277
Sink boundary      138
Smale, S.      38 124
Sndhar, S.      340 341 343 347—351 361 376
Sobczyk, K.      214 276
Socolar, J.E.S.      24 127
Solirnan, M.S.      205 277 278
Solvability condition      295 344 348
Song, R      193 277
Song, Y.X.      24 124
Soong, T.T.      214 277
Source boundary      138
Sprott, J.C.      73 124
Srikant, R.      25 122
Stabilizing      73
Stable fuzzy equilibrium      240
Standard normal form      234
Starzhimkii, V.M.      288 289 338
State transition      282
State transition, matrix      288
Steeb, W.H      103 122
Steindl, A.      281 337
Stewart, H.B.      198 211 274 277 278
Stewart, L.      73 124
Stochastic attractors      214
Stokes, G.G.      282 335
Streit, D.A.      281 338
Strini, G.      212 274
Strogatz, S , H.      265 268 278
Subcritical      14 26
Sun, J.Q.      193 194 215 231 235 236 258 260 261 275 276 275
Supercritical      14 26
Supercritical Pitchfork bifurcation      265
Symmetry breaking      288
Symmetry breaking, bifurcation      304 319
Synchronization      89
Syrmos, V.L.      260 277
Szasz, G.      280 335
Szebehely, V.      281 338
Takatsuka, K.      230 275
Tamoaki, H.      258 277
Tan, D.      24 122
Tan, D.K.H.      25 122
Tangency      187
Tangential to the boundary      142
Tel, T.      202 277
Terminal cost      259
Tesi, A.      259 275
Thin plate      97
Thompson, J.M.T.      193 198 205 275 277 278
Thuraisingham, R.A.      281 338
Tian.Y.R.      24 124
Time-dependent normal form theory      291 294
Time-periodic center manifold      291
Time-periodic center manifold, reduction      292
Tomonaga, Y      230 278
Tongue, B.H.      193 278
Topological matrix      233
Tracking      73 85
Tracking and chaos synchronization      84
Transcritical bifurcation      288 304
Transient, celt      195 197
Transient, sets      197
Transition probability matrix      214 215
Transversality condition      4
traveling wave      341
Troger, H.      281 337
Tsao, T.C      193 274
Tso, W.K      317 338
Tsuneda, A.      105 106 108 109 124
Udwadia, F.E.      214 278
Ueda.Y.      198 211 278
Universal domain      129
Ushio, T.      193 278
Utkin, V.I.      128 190
Vakakis, A.F.      352 376
Van Campen, D.H.      128 189
Van der Pol, B.      3 124
Van der Pol’s equation      3
Verga, A.D.      214 230 239 277
Verhulst, F.      283 284 337 338
Versal deformation of the linear system matrix      296
Versal deformation of the normal form      296
Versal deformation, equation      296
von Karman equation      340
Wada boundary, basin      210
Wada boundary, fractal      202
Walanabe, N.      258 277
Wan, Y.-H.      2 24 30 122
Wang, D.      285 296 312 336
Wang, F.Y.      260 278
Wang, H.      259 275
Wang, H.O.      4 24 79—81 122 124 335 335
Wang, S.      50 72 124
Wang, S.P.      50 124
Weak critical singular point      46
Wei, K.      259 278
Widmann, P.J.      281 338
Wiesenfeld, K.      211 277
Wiggins, S.      2 124
Wong, F.S.      212 214 274 275
Wu, D.-H.      283 290 291 299 338
Wu, J.H      24 124
Wu, M.-Y      283 338
Wu, X.      75 76 123
Wyatt, R.E.      281 336
Xu, J.      7 10 15 125
Xu, J.X.      24 124 193 194 211 241 275 276
Xu, W.      194 226—229 278
Yakubovich, V.A.      288 289 338
Yang, C.      259 274
Yao, W.      5 37 92 113 124 125
Yap, K.C.      259 274
Ye, H.      128 190
Yeo, M.H.      340 341 376
Yorke, J.A.      4 73 124 198 202 205 211 242 259 275—278
Yoshida, Y      232 278
Yu, J.      50 124
Yu, J.B.      24—27 29 30 32 123
Yu, P.      2—7 9 10 12 14 15 18 19 24 25 28 37—40 42—44 47—50 72—74 77 78 80 82 92 97 99 113 122—125
Yu, X.H.      24 124
Yuan, G.      259 277
Yuan, Y.      6 7 9 10 12 15 18 19 725
Zhang, W.      3 97 99 125
Zhang. S.      73 123
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