Luo A.C.J. (Ed.) Dynamical Systems: Discontinuity, Stochasticity and Time-Delay
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456 Author Index
Riitahuhta, A., 300, 307
Risken, H., 233
Rivero, M., 4–7
Rivin, E.I., 51
Rizzo, P.C., 330
Roach, A., 297
Roberson, J.A., 430
Robertson, I.A., 323
Rodeigaez, M.A., 234
Roesset, J.M., 330–332
Rong, H., 32
Roog, Y., 357–358
Rose, J., 341
Rose, R.M., 171
Rosier, C., 385
Rossi, C., 266
Rossler, O.E., 31
Roy, P., 397
Roy, R., 13, 233–235
Ruan, J., 204
Ruan, S., 159, 162, 165
Rubin, M.B., 293
Rucker, W., 329, 332
Rudakov, V.N., 37
Ruelle, D., 13
Russell, D.F., 217
S
Sachdev, M.S., 191–192
Sagoci, H.F., 323
Sahle, S., 31
Sahni, P.S., 233
Sainz-Trap´aga, M., 169
San Migud, M., 234, 240
San Miguel, M., 234
Sanchez, A.D., 223–225
Sancho, J.M., 234, 240
Sansour, C., 265
Sansour, J., 265
Sauren, A.A.H.J., 384
Schenzle, A., 234
Schlichting, H., 63
Schmidtmann, O., 385
Schmitz, T.L., 77
Schoen, M.P., 409–420
Schurrer, F., 32
Scott, R.A., 358
Seed, H.B., 331, 334
Segalman, D.J., 98
Segundo, J.P., 170
Sell, G.R., 385
Senjanovic, I., 177
Seydel, R., 384
Shah, A., 341–354
Shang, H., 177–184
Shang, Z., 121–131
Shaw, D.E., 333
Shekhter, O.Y., 320
Shen, X., 203
Shen, Z., 251, 398, 401
Sheng, J., 136, 140, 144–147, 149, 153
Sherman, R., 23
Shi, G., 358
Shi, P.L., 217–219, 221
Shih, H.H., 398, 401
Shin, E., 96
Shokooh, A., 4
Short, R., 233
Shuai, J.W., 217
Sidhu, T.S., 191–192
Sikdar, B., 23
Silk, M., 348
Simeonov, P., 204, 210
Singh, S., 233
Sinha, H., 170
Sipcic, S.R., 62
Slaats, P.M.A., 384
Slotine, J.J.E., 143
Smith, E.C., 95
Sneddon, I.N., 323
Snowdon, J.C., 50
Snyder, M.D., 333
Soderstrom, T., 409
Soh, Y.C., 204
Soliman, M.S., 177–178
Somaini, D.R., 331
Sommer, G., 280
Sommerer, J.C., 32
Song, B., 135–154
Soukhoterin, E.A., 37
Spanos, P.-T.D., 98
Spence, H.D., 203
Spyrakos, C.C., 331
Sreaonovich, R.L., 240
Srivastava, H.M., 3
Stanisic, M.M., 372
Stanley, F.L., 422–423
Staszewski, W., 276
Steindl, A., 384–385
Stepan, G., 135, 140, 145
Sthindl, A., 264
Stokoe, K.H., 334
Stone, L., 217–219, 221
Stouboulos, I.N., 106
Stoyko, D., 341–354
Strogatz, S.H., 109, 113, 203
Strohoe, K.H., 331
Author Index 457
Strzemiecki, J., 288
Suarez, L.E., 4
Suh, C.S., 77–93
Suhr, J., 96, 101–102
Sul, S.-K., 297
Sun, G., 291
Sun, J.Q., 32, 135–154
Sun, L., 122
Sun, X., 385
Sundararajan, P., 264
Sung, T.Y., 323
Sutera, A., 251
Suzuki, T., 323–324
Swevers, J., 97
Syrmos, V.L., 143–144
Szekely, E.M., 320, 324
T
Ta, M.N., 276
Tabiowo, P.H., 324, 331, 333–334
Takuji, K., 158
Tamer, S., 122
Tan, C.A., 377
Tang, J.S., 13–21, 95
Tangpong, X.W., 95–103
Tani, J., 122
Taqqu, M.S., 23
Tassoulas, J.L., 331
Tatjer, J.C., 37
Tato, W., 291
Tauzia, X., 397
Temam, R., 264, 384–385
Teo, E.T.H., 96
ter Weeme, J.W., 385
Terzaghi, K., 331
Tetsuni, S., 357–358
Tetsushi, U., 158
Theirs, G.R., 334
Thompson, J.M.T., 177–178, 395
Thomson, W.T., 323
Thoors, H., 77
Thylwe, K.E., 31
Tian, E., 136
Titchmarsh, E.C., 323
Titi, E.S., 264–265, 385
Tombor, B., 203
Tomlinson, G., 96, 275
Toral, R., 217, 223–226, 234
Torresani, B., 279
Torvik, P.J., 3
Traverso, M.G., 77
Triantafyllidis, T., 330, 332
Trifunac, M.D., 335
Troger, H., 264–265, 384–385
Trujillo, J.J., 3–7
Trump, G.D., 422
Tsakalidis, C., 332
Tsao, T.C., 377
Tung, C.C., 398, 401
Tzou, H.S., 357–358
U
Ulbrich, H., 121, 123–124, 128
Ulsoy, A.G., 358
Unnikrishnan, N., 409–420
Urchegui, M.A., 291
Ushijima, Y., 297
V
Vakakis, A.F., 121, 275
Valaristos, A.P., 106
van Campen, D.H., 384–385
Van den Broeck, C., 223
Van Wiggeren, G.D., 13
Velarde, M., 159
Veletsos, A.S., 324, 330, 332
Velinsky, S.A., 293
Verbic, B., 324
Verho, A., 295–296
Verqni, D., 23
Verriest, E.I., 136
Viana, R., 177
Vijta, M., 143
Vodyanoy, I., 224
Vohra, S., 293–295
Vulpiana, A., 251
Vyas, N.S., 275–283
W
Walworth, M., 416
Wan, Y.H., 159, 163, 165
Wang, B., 96
Wang, C.L., 50
Wang, F.Z., 170
Wang, G.Z., 403
Wang, H.Y., 203
Wang, J.L., 263–272
Wang, K.W., 95–96
Wang, L., 159
Wang, Q.G., 136, 158
Wang, T.-Y., 251, 255
Wang, W.J., 402
Wang, X., 4–10, 203
Wang, Y., 189–200
458 Author Index
Wang, Y.-C., 49–60
Wang, Y.F., 371–380
Wang, Y.Q., 13
Wang, Z.H., 4–10, 96, 169, 251
Warburton, G.B., 323, 333–334
Watson, J.N., 280
Watt, D.A., 438, 441–442
Watts, D.J., 203
Webster, J.J., 333
Wei, B.Q., 96
Wei, J., 159–162, 165
Wei, Y.T., 324, 330, 332
Weiss, M.P., 288
Weiss, R.A., 320
Weissmann, G.F., 330
Wen, C.Y., 204
Wereley, N.M., 95
Wesley, D.A., 333
Westmann, R.A., 324, 332
Whitman, R.V., 330–332
Wichmann, B.A., 438, 441–442
Wickert, J.A., 95
Wiercigroch, M., 78
Wiggins, S., 384
Wilkes, J.O., 140
Wilkinson, J., 347
Willinger, W., 23
Willms, A.R., 204
Wio, H.S., 223–226
Wjewoda, J., 31
Wolf, J.P., 331, 333
Wong, H.L., 324, 330, 332–333, 335
Worden, K., 275
Wriggers, P., 265
Wu, D.J., 224, 234, 236
Wu, J., 159
Wu, M.L.C., 136, 398, 401
Wu, T., 437–446
Wu, X., 135
Wu, Y., 217–221
X
Xiang, Y.L., 234
Xie, C.W., 224, 234, 239
Xie, W.X., 224, 234
Xu, H., 203
Xu, J.-X., 13, 32–33, 170, 178, 217, 219
Xu, M., 224, 234, 357–370
Xu, W., 32, 224, 234
Xu, Y., 251–259
Xu, Z., 23
Y
Yamamoto, M., 297
Yamamoto, N., 204
Yan, B.Q., 204, 210
Yanai, N., 297
Yang, B., 135, 372, 375, 377
Yang, C.M., 204–205
Yang, L.B., 204–205
Yang, T., 204–205, 210
Yen, N.C., 398, 401
Yigit, A.S., 358
Yin, J.P., 234
Yin, X.Y., 394
Yoon, R.H., 422
Yorke, J.A., 13, 105, 109, 170
Yoshida, K., 297
Yoshizawa, S., 157, 334
Young, M.R., 233
Yu, A.W., 233–235
Yu, B., 401
Yu, D.J., 13
Yu, H.J., 170
Yu, J.J., 121, 203
Yu, X., 203
Yuan, Y., 159
Yue, D., 136
Yung, W.K.P., 96
Z
Zaikin, A.A., 223
Zamojska, I., 372
Zapata, R., 77
Zartarian, G., 62
Zhang, A., 169–174
Zhang, C., 169–174
Zhang, D., 287
Zhang, G.Q., 385
Zhang, H., 251–259
Zhang, J.-Z., 23–29, 61–76, 383–394
Zhang, L., 234, 239, 341
Zhang, N., 263–264
Zhang, P., 50
Zhang, W., 96
Zhang, X.L., 13, 357–370
Zhang, Y., 31–36, 136
Zhang, Z.X., 397–408
Zhao, Y.-J., 251–259
Zheng, J., 291
Zheng, Q.N., 398, 401
Zheng, Y.H., 170
Zhou, C.S., 217
Zhou, J., 203, 205
Author Index 459
Zhou, P.L., 398, 400
Zhou, X., 96
Zhu, P., 233–248
Zhu, S., 233–234, 242
Zhu, S.J., 49–60
Zhu, S.Q., 223–224, 233–235
Zhu, X.W., 13
Zhu, Z.H., 287, 289–290
Zhuang, W., 342, 344–346
Zhusubaliyev, Z.T., 37
Zienkiewicz, O.C., 331
Zou, X., 159
Subject Index
A
Ada programming language, 437–446
Aerodynamic heating, 62–63, 79
Aerothermoelasticity, 61
Algebraic structures, 438–440, 442, 446
Approximate inertial manifolds (AIM),
385–386, 392, 394
Attached masses, 377
Attached mass-spring oscillators, 371–372,
375, 377, 380
Automation, 341, 421–435
Axially moving string, 371–380
B
Basin of attraction, 34, 35, 177, 180
Belt-pulley systems, 286, 292–294
Bifurcation, 31, 33, 34, 36–47, 52–62, 67–74,
105, 109, 113, 127, 157–166, 195, 200,
270–272, 384–385
Bifurcation analysis, 37, 157–166, 384
Buckling, 61, 67, 69–70, 73–74, 385
Bursting and breaking, 23–25, 27, 29
C
Carbon nanotube (CNT), 95–103
Cell mapping method, 32
Chain elasticity, 313
Chain mechanisms, 300
Chaos, 13–21, 31, 37, 49–50, 52–53, 55, 62,
70, 105–106, 109, 113–117, 120, 169,
184, 204, 223
Chaotic attractor, 31, 109, 170, 211
Chaotic discharge, 172–174
Chaotic motion, 13, 19–20, 52–53, 56–57, 59,
61, 113
Chaotic solutions, 38
Chaotic vibration isolation, 49–60
Clean coal, 421–423, 434
Clearance, 122, 268, 357–358, 360, 363–364,
367–370
CNT-matrix interface, 96–97, 101, 103
Coal preparation plant, 421–435
Complex networks, 203–215
Complex wire systems, 293–297
Contact stress distribution, 322–323
Continuous time approximation, 137,
139–140, 143, 154
Control, 3, 34, 35, 49–50, 56, 78, 95, 122,
135–154, 169–170, 172–174, 177–184,
191, 203–215, 286, 291, 297, 306,
310–311, 313, 316, 357, 392, 421–435,
442
Coupled system, 204, 207, 212–213, 372,
375, 377
Coupled vibration of foundations, 320,
332–333
Coupling configuration matrix, 204
Coupling strength, 158, 214, 235, 240–248,
371, 377, 380
Crisis, 31–35, 105, 109, 120, 438
Cross-correlated noises, 224, 233–248
Cross-coupling effects, 121–131
Cut-off frequencies, 342, 347–353
Cutting dynamics, 78–81, 91–92
D
Damping, 3–10, 51, 90–92, 95–96, 102–103,
106–107, 123, 128–131, 178, 184, 265,
276, 279, 281, 287, 289–291, 297, 316,
324, 327, 330–334,
360–361, 373
Damping force of fractional-order derivative,
3–10
Discontinuous boundaries, 78–79, 82
Distributed friction, 99, 103
461
462 Subject Index
Distribution function, 25, 97–99, 241–243, 445
Dynamical behavior, 121, 158, 169–170, 178,
215, 272, 358
Dynamical error equation, 207
Dynamical properties, 233–248
Dynamic buckling, 61
Dynamics, 32, 37–38, 49–50, 52, 61, 78–79,
90, 96, 105, 121–131, 157, 191,
203–215, 217–218, 221, 224, 263, 265,
285–296, 299–316, 319–320, 333, 378,
384–386, 394, 398–401,
403–404, 408
E
Eigenvalue problem, 332, 371–373, 377–378
Elastic properties, 287, 299, 302–304, 323,
335, 347–348
Elevating platform, 300, 314
Empirical mode decomposition (EMD),
251–259, 401
Energy dissipation, 95–103, 291–292
Equilibrium point, 211, 215
Erosion, 177–184
Explicit form, 124, 380
F
Feedback, 135–137, 140, 143–150, 152–153,
169–174, 177–184
Feedback control, 135, 137, 144–150,
152–153, 169–174, 182, 184
FHN neuron, 157–166, 217, 220–221
Flexible connector, 357–370
Flow field, 392
Flows around airfoil, 393
Fluid dynamics, 384
Foundations, 319–335
Fractal, 23–26, 32–36, 52, 109, 180, 182
Fractal dimension, 24–25, 52, 180
Fractional-order exponential function, 6, 9
Friction damping, 95–96
G
Galerkin method, 62, 65–67, 263–272, 372,
378, 380, 385–386, 392
Galerkin’s discretization, 372, 378–380, 384
Generalized Bagley-Torvik equation, 4, 8
General solution, 3–10, 15–19, 137, 146, 373
Graphical user interface (GUI), 424, 427
Green’s function, 320, 331–332, 371–380
Gyroscopic system, 371, 375
H
Hankel matrix, 414
H˘older exponent, 24
Henon map, 37–47
Hetero-clinic orbit, 183
High dimensional chaotic system, 31–36
High order system, 264
Hindmarsh-Rose model, 170–172, 221
Homogeneous, 4, 15–16, 319, 333, 342–343,
346, 348, 353, 373–374
Hopf bifurcation, 67, 72, 74, 127, 157–166
Hydraulic boom systems, 300, 307–308, 313
Hydraulic winch, 300, 311–313
Hysteretic friction, 97–98
I
Impulsive control, 203–215
Inertial manifolds with time delay, 383–394
Input design, 409–420
Intensity fluctuation, 233–248
Interaction between foundations, 319, 330,
333–335
Interfacial stiffness, 96–97
Inverse problem, 342, 348
Isotropic, 108, 120, 122, 321, 342–343,
348, 353
J
Jacobian matrix, 66–67, 69, 72, 127,
195–196, 380
K
Kalman filter, 410, 415
Krylov-Bogoliubov method, 275–277
L
Least-squares estimation, 410
Limit cycles, 105, 109–110, 113, 120, 157, 316
Line spectrum reduction, 49–50, 57
Local area networks traffic, 23–29
Low-oscillation Morlet wavelets, 276,
280–283
Lumped parameter models, 306, 330–331, 333
Lyapunov exponent, 13, 31, 32, 37, 52, 119,
125
Lyapunov function, 136, 207
Subject Index 463
M
Machine tool vibration, 81, 90
Markov parameters, 413–415
Maximum variance rate, 372, 377–378, 380
Microcontroller, 424–427
Mixed boundary value problems, 323–330
Mixed parity oscillator, 277, 281–282
Model number, 438, 441–442, 444–446
Model reduction, 383–394
Multifractal spectrum, 23–29
Multilevel finite element method, 386–388
Multi-span rotor, 263, 304
N
Nanocomposites, 96, 103
Navier-Stokes equations, 383–394
Negative mapping, 38–39, 41–42, 44–45, 47
Neurons, 157–166, 169–174, 217–221
Nodes, 42, 44–45, 204–211, 215, 266,
364–365, 367, 369, 386–388
Noise, 49–50, 178, 217–221, 223–230,
233–248, 251–252, 254–255, 257–258,
351, 398, 410, 414, 416, 420
Non-dimensionalization, 65, 75, 99, 107–108,
123, 288, 290, 372
Non-equilibrium phase transitions, 223–230
Non-Gaussian noise, 223–230
Nonlinear continuous dynamics, 383–384, 394
Nonlinear dynamic model, 265, 272
Nonlinear dynamics, 49, 61, 105, 263–265,
268, 272, 358, 365, 383–386
Nonlinear Galerkin method (NLGM),
264–265, 385–386
Nonlinearity classification, 275–283
Nonlinear partial differential equation, 384
Nonlinear system identification, 275
Nonlinear vibration isolation system, 49–52,
56–57, 59
Non-stick motion, 79
Non-uniform, 25, 27, 97, 139–140
Numerical simulation, 26–29, 90, 105, 109,
120, 140, 191, 200, 211–215, 219,
351–353, 358
O
Observer/Kalman filter identification (OKID),
410, 413
Optimal gains, 144–147, 149, 153
Order reduction, 263–272
Oscillation, 61, 67, 70, 72–74, 82, 157, 159,
171, 174, 191, 277–279, 281, 313, 316,
323–324
P
Panel flutter, 61–76
Period, 38, 43, 52–53, 79, 137–138, 149, 163,
166, 170, 180, 194, 313
Periodic flow, 189–200
Periodic oscillation, 61, 67, 70, 72–74
Periodic solutions, 37–47, 124, 159, 163, 166,
171–174, 194
Perturbation, 13–21, 39–40, 127, 170, 371, 385
Perturbation method, 14
Perturbed equations, 13–18, 20
Phase space, 32, 34, 35, 163, 171–173, 178,
192, 384
Pipe, 308, 342–348, 352–354, 371
Pitch-fork bifurcation, 70, 74
Positive mapping, 39, 41–45
Power flow attenuation rate (PFAR), 57–60
Power flow line spectrum, 57, 59–60
Power flow transmissibility, 50, 56
Predictor-corrector Galerkin method,
263–272
Q
Quadratic oscillator, 277, 281
R
Reynolds number, 430–431
Ridge, 279–282
Rolling motion, 183
Rotor-bearing system, 263–272
Rotor dynamics, 263
Rotor/stator rubbing, 121–131
Rough number, 437–446
Rough set, 437–438
S
Safe basin, 177–184
Saturation laser model, 233–248
Second-order nonlinear dynamical system, 14
Self-defined truss element, 357–370
Self similarity, 23
Semi-Analytical Finite Element (SAFE), 342,
347–348, 351
Semi-discretization, 137–140, 144–145, 154
Sensitivity to initial condition, 13–21
Separation specific gravity, 422, 435
Servo control, 310, 313
Simulations, 26–29, 45, 61–76, 90, 105, 109,
120, 140, 191, 200, 211–215, 219, 264,
281, 287, 291–297, 299, 313,
316, 319–320, 335, 351–353,
358–359, 416
464 Subject Index
Single-mode laser model, 223–230,
234
Single-stage spiral operation, 422
Singularity exponent, 24
3-D Siwthing system, 189–200
Soil, 319–335
Spiral circuit, 421–423
Spiral concentrator, 421–435
Spline coupling, 105–107
Stability, 39, 46, 62, 65, 95–96, 105, 122–131,
135–136, 138, 140, 145–147,
149–150, 157–166, 191, 195–196, 198,
200, 204–206, 215, 248, 291, 297,
385
Stability analysis, 123–127, 131
Stable period-doubling bifurcation,
42–44
stable saddle bifurcation, 42
Standard Morlet wavelets, 279–283
Stick-motion, 97, 101–103
Stick/slip, 95–97, 101–103
Stochastic resonance, 251–259
Subsystems, 189–200, 223, 264–269, 272,
371, 377, 380, 425
Sub-threshold oscillation, 171
Surface responses, 320–322
Switch ability, 82–83
Switching system, 189–200
Symmetric oscillator, 281
Synaptic intensity, 170–173
Synchronization, 158, 203–204, 206–207,
211–215, 217–221
Synchronization manifold, 204, 211,
214–215
Synchronous full annular rub solution,
121–122, 124–131
System identification, 275, 409–420
T
Time-delay, 135–154, 157–166, 169–174,
178–184, 418
Time-delay coupling, 157–166
Time sequence, 24, 26, 28, 311
Transition, 31, 103, 138, 172, 223–230, 271,
287, 347
Two-stage spiral operations, 422
U
Ultrasonic guided waves, 353
Ultrasonic receiver, 420
Ultrasonic transducer, 409–420
Ultrasonic transmitter-receiver pair, 409–420
Unstable period-doubling bifurcation (UPD),
42–45
Unstable saddle bifurcation, 43, 45
Unsteady flux, 23
V
Vibration system, 3–10
W
Wall thickness, 348, 353
Wavelet transforms, 275–276, 278–282
Weak signal, 251–252, 254–255, 257–259
Wheatstone bridge, 425–426
Wire-driven machine, 285–297, 299–316
Wire elasticity, 313
Wire mechanisms, 285–297, 299–316
Wire rope, 285–292, 296–297
Wire-rope mechanisms, 295–296
Wire-rope systems, 291–297
Wire tension, 287, 289, 296, 300, 302,
306–307, 312–313