Tumbling chaos, 366
Turning point bifurcation, 277, 293
Two-torus, 334
U
Unbalanced
engine, 464
shaft, 458
Unbounded response, 142
Unfolding (of bifurcations), 274
Uniformly valid expansion, 118, 120
Uniform stability, 296
Unstable
equilibrium, 44
manifold, 285
periodic orbits, 382
V
Van der Pol
equation, 172
oscillator, 171
transformation, 125, 127, 182, 189, 194
Variation of a functional, 22
admissible, 22
Velocity bias, 416, 419
Vibration absorber
autoparametric, 210, 375
impacting pendulum, 100, 367
sliding mass, 242
Vibrational
force, 388, 391, 404, 409, 417, 444
loosening, 400
penetration, 398, 444
piling, 398, 400, 444
transportation, 401
Vibro-impact, 175
Volume contracting, 353
W
Wave speed, 59
Weak excitation, 153
Weakly
chaotic, 325
nonlinear, 116
Y
Yield strength for engineering materials, 496
Young’s modulus for engineering materials,
496
Z
Zeroes, of a phase plane, 106
Zero-order problem, 121
Zero problem, 298
Zero-stiffness oscillator, 368
Zero tangent map, 342
Index
529