By selecting different control parameter, the chaotic motion
of the system is well controlled to the stable periodic orbits.
Caption: Figure 11: The chaotic motions
of the compressor blade based on (2): (a) the phase portrait on plane ([x.
Figures 9(a)-9(d) show the periodic motion of cycle 1 ,2, 5, and 7 times the cycle of movement, while Figures 9(e) and 9(f) represent the quasi-periodic and chaotic motions
Such a sensitivity of the particle motion on initial condition with its path remaining bound is the necessary condition for onset of chaotic motion
One characteristic of chaotic motion
is that small changes in the starting conditions can produce vastly different final outcomes.
A Poincare map (bottom) reveals patterns in the beam's chaotic motion
Along with the bifurcation development, the nonlinearity manners become stronger gradually under the combination effects of error and mesh frequency, which makes the system response in turn alternate between the periodic and chaotic motions
Their evidence indicated, for the first time, that a body moving through a fluid could have chaotic motion
The possibility for onset of chaotic motion
in the Duffing oscillator under parameter excitation of bound noise is studied by the stochastic Melnikov method .
A damped, driven pendulum can exhibit chaotic motion
for certain choices of the driving frequency, the driving amplitude, and the damping parameter.
The heated parcel rises, distorting the windflow pattern at higher altitudes and generating chaotic motion
Under the interactive stretching and contractions, the chaotic motion