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The results show that it has rich dynamical behaviors, including complicated phase space trajectory, hyperchaotic behavior, large maximum Lyapunov exponent and typical bifurcations.
It is now well established that seemingly innocuous dynamical systems, dissipative or not, can produce complicated phase trajectories and, eventually, chaos.
The asymmetrical energy barriers may be one of the reasons for the copolymers with 0.5 0.6 (mole fraction) VDF exhibiting complicated phase transition behavior.
There is a growing acknowledgment, however, that the economic access that has boosted China's growth over the past 20 years — and opened the country to companies such as Wal-Mart and General Motors — has entered a new and, for the United States, more complicated phase.
On the other hand, in the case of using DFT for the computation of cepstrum, complicated phase unwrapping algorithms as proposed in literature [11, 14] need to be used, since the phase in this case has no longer binary values.
However, more complicated phase behavior was observed as a function of ionization state of NEFAs and pH [44].
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The increase of the intrinsic linewidth at higher voltages due to an abrupt increase of the internal damping considerably complicates phase locking of the FFO.
In the former, it is largely an experimental design issue since it complicates phase matching, which subsequently makes the design of nonlinear elements such as OPOs difficult [45].
Large-scale irregularities, and associated TEC fluctuations, can complicate phase ambiguity resolution, increase the number of undetected and uncorrected cycle slips and losses of signal lock in GNSS (Wanninger, 1995; Jakowski et al., 2005; Wielgosz et al., 2005).
To avoid sacrificing decades of method history no attempts were made to reduce the ratio; to do so might also adversely affect recovery and/or complicate phase separation.
The asymmetric feeding will cause complicated three-phase interactions, in terms of the transport and phase-change characteristics of each interacting phase, in the feed zone of a riser reactor.
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