Chaos in a one-dimensional compressible flow.

@article{Gerig2007ChaosIA,
  title={Chaos in a one-dimensional compressible flow.},
  author={Austin Gerig and A. H{\"u}bler},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={75 4 Pt 2},
  pages={
          045202
        }
}
  • Austin Gerig, A. Hübler
  • Published 2007
  • Physics, Medicine, Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We study the dynamics of a one-dimensional discrete flow with open boundaries--a series of moving point particles connected by ideal springs. These particles flow towards an inlet at constant velocity, pass into a region where they are free to move according to their nearest neighbor interactions, and then pass an outlet where they travel with a sinusoidally varying velocity. As the amplitude of the outlet oscillations is increased, we find that the resident time of particles in the chamber… Expand
3 Citations

Topics from this paper

The influence of multiple frequency perturbations on particle chaotization in a cell
TLDR
The numerical experiments and asymptotic analysis show that in this case the global chaotization starts at excitation amplitudes and frequencies far below their critical values for single-frequency excitation. Expand
Univariate time series classification using information geometry
TLDR
A highly comparative approach to univariate time series classification is introduced that uses covariance matrices as interpretable features and concepts of a structural and functional network are presented which provide an understanding of the properties of the data set and guide further interpretation to the classifier. Expand

References

Nonlinear Physics: From the Pendulum to Turbulence and Chaos
Part 1 Particles: the elements of dynamics - phase space, systems with one degree of freedom, an example - the nonlinear pendulum, two more examples of nonlinear oscillations, Poincare's integralExpand