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Sun J.Q. (Ed), Luo A.C. (Ed) — Bifurcation and Chaos in Complex Systems |
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Предметный указатель |
-equivariance 52
-equivariant, Hamiltonian vector field 51 52
-equivariant, planar vector field 50
-equivariant planar vector field 54
Abed, E.G. 79—81 124 259 275
Abed, E.H. 24 121 335 335
Abraham, R.H. 198 274
Accessible subdomain 129 187
Active queue management schemes 24
Additive fuzzy noise 245
Aracil, J. 230 275
Arnold, L. 214 274
Arnold, V.I. 2 121 284 288 294 335
Arrowsmith, D.K. 284 285 312 313 335
Asmis, K.G. 317 338
Asymptotic stability 287
Attractor invariant 255
Backward, algorithm 234
Backward, search algorithm 234
Badian, J. 340 376
Bajaj.A.K. 281 338
Balachandran, B. 259 277 284 288 337
Bapat.C.N. 128 159
Bautin, N.N. 38 41 121
Baxendale, P. 2l4 274
Bellman, R. 283 335
Berns, D. 37 127
Bernussou, J. 284 335
Bessel functions of the first kind 344
Bi, Q. 3. 97 99 125
Bibb, J S. 285 290 338
Bifurcation of fuzzy nonlinear oscillators 240
Bifurcation of limit cycles 5 53 307
Bifurcation of nonlinear systems with small random disturbances 212
Bifurcation of one-dimensional fuzzy systems 235
Bifurcation, analysis 14
Bifurcation, control 73
Birkhoff, G.D. 127 189 284 335
Bleich, M.E. 24 121
Bliiel.R 205 277
Blows, T.R. 41 123
Bogoliubov, N.N. 283 336
Bolotin, V.V. 280 336
Brambilla, M. 212 274
Brandt, M.E. 24 121
Broucke, M. 128 189
Budd, C.J. 128 189
Bunin, A. 74 123
Bursal, F.H. 260 274
Butcher, E.A. 287 297 336 337
Carroll, T.L. 73 124
Caughey, T.K. 127 128 190 214 274
Cell mapping method 193 231
Center manifold, reduction 7 11 12 292
Center manifold, theory 38 294
Chajes, M. 259 274
Champney, A.R. 128 189
Chan, H.S.Y. 50 53 123
Chaos, control 73
Chaos, synchronization 73 74
Chaotic attractors 202
Chaotic boundary crisis 200
Chaotic crisis 198
Chaotic saddle 202
Chebyshev polynomial expansion 290 297
Chen, G.R. 2 4 24—30 32 37 73 75—80 121—125 259 274
Chen, H.B. 44 46 47 122
Chen, L.D. 129 156 190
Chen, R.C. 335 335
Chen, Y.Y. 193 274
Chen, Z. 25 122
Cheng, A. 259 274
Chiang, W.L. 212 214 274 275
Chin, C.M. 37 124
Chin, H.M. 193 215 221 274 276
Choi, H.T. 193 275
Chow, S.-N. 285 296 312 336
Chua system, simple 105
Chua system, smooth 105
Chua, L.O. 105 122
Chung, K.L. 197 274
Chung, K.W. 50 53 721
Circular plate 339 341
Clairaut, A. 282 336
Closed set 197
Coalson, R.D. 281 336
Codimension, one bifurcations 301
Codimension, two bifurcations 245
Comer, D.J. 193 277
Commutative systems 297 313
Competitive mode 92—94
Complex center 46
Connect able domain 129
Corless, R. 40 125
Corner points or vertex 133
Crasemann, B. 281 337
Crauel, H. 214 275
Crespo, L.G. 193 258 260 261 275
Crises in deterministic systems 198
Crutchfield, J.P. 214 215 217 275
Cuesta, F. 230 275
Cuomo. KM. 73 122
Cyclic fold bifurcation 288 307 309
Cyclic group 50
Danby, J.M.A. 281 336
Das, D. 230 277
David, A. 286 318 321 324—326 330—332 335 336 337
Davis, S.H. 281 337
Davison, M. 5 92 125
Deb, S 25 122
Delay differential equations 24
Den Hartog, J.R 128 159
Deng, W. 128 189
Detuning parameters 352 361
di Bernardo, M. 128 189
Discontinuous dynamic system 131
Disjoint 132
Doedel, E. 357 376
Doi, S. 230 275
Domain accessibility 129
Domains of attraction 195
Dong, W.M. 212 214 274 275
Dong, X. 2 4 73 122
Douay, A.C. 258 275
Double crises 210 211
Double inverted pendulum 327
Dufling — Van der Pol oscillator 245
Dulling oscillator 357
Dulling oscillator with small random excitations 220
Edwards. D. 193 275
Efstathiades, G.J. 341 376
Endo.T. 258 277
Equilibrium 7
Equilibrium, cell 194
Essex, C 5 37 92 113 124 125
Evan-Ivanowski, R.M. 280 336
Extended center 46
External mode 93
External mode, resonance 352
Fang, T. 194 226—229 278
Farmer, J.D. 214 215 217 275
Farooq, A. 280 336
Feigenbaum, M.J. 215 275
Ferraris, G. 280 337
Field, R.J. 104 122
Fillippov, A.F. 128 132 /S9
Flandoli, F 214 275
Flashner.H. 284 336
Flip 288
Flip, bifurcation 301 313
| Floquet multipliers 288
Floquet multipliers, theory 281 282 289
Floquet multipliers, transition matrix 288 298
Floquet — Lyapunov theory 74
Floquet, G. 281 287 336
Flowers, G.T. 280 338
Foale, S 193 275
Formal monomial form 294
Friction-induced oscillator 158
Friedman, Y. 232 275
Friedmann, P.P. 280 336
Fu, J.H. 24 121 335 335
Fundamental solution 282
Fuzzy, attractor 241 255
Fuzzy, attractor, chaotic 242
Fuzzy, bifurcation 230 239 242
Fuzzy, dynamical system 231
Fuzzy, generalized cell mapping 231
Fuzzy, generalized cell mapping, system 232
Fuzzy, nonlinear dynamical systems 233
Fuzzy, set 231 237
G-equivariant vector field 50
G-invariant function 50
Gallas, J.A.C 211 275
Gaussian white noise 221
Gegg, B.C 129 158 161 163 164 186 190
General control database 260
General resonance condition 303
Generalized cell mapping 193 195
Genesio, R. 259 275
Ghosh, A.K. 341
Glass, L. 281 336
Global Lipschitz condition 74
Global ultimate boundedness of chaotic systems 74
Goldberger, A.L. 281 337
Gong, PL. 241 275
Gorman, M. 281 338
Grassia, P.G. 281 336
Grazing flow 141 143
Grazing flow of the first kind 150
Grazing flow of the second kind 150
Grazing flow of the third kind 150
Grebogi, C. 4 73 124 198 202 205 211 242 259 275 277 278
Griffith, J.S. 262 276
Gua, S.M. 73 122
Guckenheimer, J. 2—4 7 82 122 192 245 276
Guder, R. 193 276
Guevara, MR. 281 336
Gultalu.R.S. 284 336
Gupta, P.B.D. 230 277
Hackl, K. 259 274
Hagood, N.W. 258 275
Haken, H. 92 122
Hale, J. 12 122 288 336
Hale, J.K. 192 276
Han, M. 38 39 42 48 122 125
Han, R.P.S. 127 128 189 190
Harb, A.M. 37 124
Hardy, Y. 103 122
Hassard, B D. 2 24 30 122
Hawthorne, E.I. 281 336
He, Q. 194 226—229 275
Hilbert, D. 38 57 122
Hilbert’s 16th problem 6 38
Hill, G.W. 281 336
Hill’s method 281
Hirschfelder, J.O. 281 336
Holmes, PJ. 2—4 7 82 122 128 190 192 245 276
Homoclinic and heteroclinic bifurcation 4 61
Homoclinic and heteroclinic bifurcation, values 61
Homological equation 295
Homsy, G.M. 280 281 336
Hong, L. 194 211 241 276
Hopf bifurcation 2 4 6 7 10 15 26
Hopf bifurcation, control 28 77
Hopf bifurcation, controling 79
Hopf bifurcation, double 7
Hopf bifurcation, onset of 30
Hopf bifurcation, parameters 59
Hopf bifurcation, secondary 288 309 327
Hopf bifurcation, subcritical 268
Hopf, E. 4 122
Hopf-type critical point 39
Hou, L. 128 190
Hrinca, I. 258 276
Hsu, C.S. 193 194 196 215 217 221 226 231—236 260 274 276 278 280 284 336
Huang, Q. 50 53 123
Huang, W.T. 44 46 123
Huberman, B.A. 214 215 217 275
Hunt, B. 259 277
Hyperbolic flow 153
Ibrahim, R.A. 214 276
Inaccessible subdomain 129 187
Indeterminate crisis 202
Inoue, J. 230 275
Instability flutter 15
Interior crisis 200
Internal mode 93
Internal resonance 340 361
Internal resonance, condition 352
Iooss, G. 288 336
James, E.M. 47 122
Jiang, J. 193 276
Jin, J.-D. 327 337
Johari, R. 25 122
Johnson, W. 280 337
Joseph. D.D. 288 336
Jump phenomenon of resonance 307
Juneja, V. 283 335
Kalenge.M.C. 41 123
Kan, I. 205 277
Kapitaniak, T. 214 276
Kazarinoff, N.D. 2 24 30 122
Kelly, F.P 24 25 122
Kennedy, J. 205 276
Kim, C.H. 340 376
Kim, M.C. 193 276
Kleczka.M 128 189
Knuth.D.E. 215 276
Kobs, T. 258 276
Kocak, H. 192 276 288 336
Koksch, N. 74 123
Komuro.M. 105 122
Kostelich, E. 259 277
Kotulski.Z. 214 276
Kowalczyk, K. 128 149
Krauskopf, B. 24 124
Kreuzer, E. 128 189 193 276
Krousgrill, CM. 281 338
kth-order singular point 46
Kukles, I.S. 38 122
Kumagai, S. 230 275
Kunze, M. 128 189
Lagrange. J.-L. 282 337
Lai, Y.C. 198 205 277
Lalanne, M. 280 337
Lee, W.K. 340 341 376
Leine, R.I. 128 189
Leissa, A.W. 341 351 376
Leonov, GA. 74—76 123
Lever, P.J.A. 260 275
Lewis, F.L. 260 277
Li, C.F. 50 53 123
Li, C.G. 24—27 29 30 32 123
Li, Ch. 285 296 312 336
Li, D. 75 76 123
Li, J. 38 46 50 123 124
Li, J.B. 38 50—53 56 123
Liao, X. 74 125
Liao, X.F. 24—27 29 30 32 123
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