Preview
Unable to display preview. Download preview PDF.
References
T. Dombre, U. Frish, J. M. Greene, M. Hénon, A. Mehr, A. M. Soward, Chaotic streamlines in the ABC Flows, JFM (1986) 167 353–367
Aref H. Stirring by Chaotic Advection, JFM (1984), 143, 1–21.
E. A. Novikov, Y. B. Sedov, Stochastization of Vortices, JETP Lett., (1979), 29, No. 12, 677–679.
Aref H., Pomphrey N., Integrable and Chaotic Motion of Four Vortices, Proc. R. Soc. Lond. (1982), A 380, 359–387.
A. Crisanti, M. Falcioni, G. Paladin, A. Vulpiani, Lagrangian Chaos: Transport, Mixing and Diffusion in Fluids, La Rivista del Nuovo Cimento, Vol. 14, 3, N. 12, (1991).
J. Guckhenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Applied Mathematical Sciences 42, Springer-Verlag, pp. 227–248.
L. Zannetti, P. Franzese The non-integrability of the restricted problem of two vortices in closed domains, Physica D 76 (1994) 99–109.
L. M. Milne-Thomson, Theoretical Hydrodinamics, 5th ed., The Macmillan Press LTD, 240–268.
V. K. Melnikov, On the stability of the center for time periodic perturbations, Trans. Moscow Math. Soc., (1963) 12, No. 1.
V. Rom-Kedar, A. Leonard, S. Wiggins, An Analitycal Study of Transport, Mixing and Chaos in an Unsteady Vortical Flow, JFM (1990) 214, 347–394.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag
About this paper
Cite this paper
Franzese, P., Zannetti, L. (1997). Lagrangian study of chaotic irrotational 2D unsteady flows. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107161
Download citation
DOI: https://doi.org/10.1007/BFb0107161
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63054-8
Online ISBN: 978-3-540-69120-4
eBook Packages: Springer Book Archive