Skip to main content
SpringerLink
Log in

Transport in two-dimensional maps

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Abraham, R., & Shaw, C. [1982], Dynamics: The Geometry of Behavior. Part Three: Global Behavior, Aerial Press, Santa Cruz, California.

    Google Scholar 

  • Bensimon, D., & Kadanoff, L. P. [1984], Extended chaos and disappearance of KAM trajectories, Physica 13 D, 82.

    Google Scholar 

  • Channell, P. J., & Scovel, J. C. [1988], Symplectic integration of Hamiltonian systems, preprint.

  • Chirikov, B. V. [1979], A universal instability of many-dimensional oscillator systems, Physics Reports 52, 263.

    Google Scholar 

  • Easton, R. W. [1985], Trellises formed by stable and unstable manifolds in the plane, Transaction of the A.M.S. 294, 719–732.

    Google Scholar 

  • Escande, D. F. [1987], Hamiltonian chaos and adiabaticity, Proceed. Int. Workshop, Kiev.

  • Franjione, J. G., & Ottino, J. M. [1987], Feasibility of numerical tracking of material lines and surfaces in chaotic flows, Phys. Fluids 30, 3641.

    Google Scholar 

  • Guckenheimer, J., & Holmes, P. [1983], Non-Linear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, New York.

    Google Scholar 

  • Kaper, T. [1988], Private Communication.

  • Karney, F. F. [1983], Long time correlations in the stochastic regime, Physica 8 D, 360.

    Google Scholar 

  • Lichtenberg, A. J., & Lieberman, M. A. [1983], Regular and Stochastic Motion, Springer-Verlag, New York.

    Google Scholar 

  • Ling, F. H. [1986], A numerical study of the applicability of Melnikov's method, Phys. Letters A 119, 447–452.

    Google Scholar 

  • Mackay, R. S., Meiss, J. D., & Percival, I. C. [1984], Transport in Hamiltonian systems, Physica 13 D, 55.

    Google Scholar 

  • Mackay, R. S., & Meiss, J. D. [1986], Flux and differences in action for continuous time Hamiltonian systems, J. Phys. A.: Math. Gen. 19, 225.

    Google Scholar 

  • Mackay, R. S., Meiss, J. D., & Percival, I. C. [1987], Resonances in area preserving maps, Physica 27 D, 1.

    Google Scholar 

  • Meiss, J. D., & Ott, E. [1986], Markov tree model of transport in area preserving maps, Physica 20 D, 387.

    Google Scholar 

  • Poincaré, H. [1892], Les Méthodes Nouvelles de la Mécanique Celeste, Gauthier-Villars, Paris.

    Google Scholar 

  • Rom-Kedar, V., Leonard, A., & Wiggins, S. [1988], An analytical study of transport, chaos and mixing in an unsteady vortical Flow, to appear in J. Fluid Mech.

  • Stuart, J. T. [1971], Stability problems in fluids, AMS Lectures in Applied Math. 13, 139–155.

    Google Scholar 

  • Wiggins, S. [1988], Global Bifurcations and Chaos — Analytical Methods, Springer-Verlag, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The James Franck Institute, The University of Chicago, 60637, Chicago, Illinois

    V. Rom-Kedar & S. Wiggins

  2. California Institute of Technology, 91125, Pasadena, California

    V. Rom-Kedar & S. Wiggins

Authors
  1. V. Rom-Kedar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Wiggins
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by P. J. Holmes

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rom-Kedar, V., Wiggins, S. Transport in two-dimensional maps. Arch. Rational Mech. Anal. 109, 239–298 (1990). https://doi.org/10.1007/BF00375090

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00375090

Keywords

Search

Navigation