Transport in Quasiperiodically Forced Systems: Dynamics Generated by Sequences of Maps

  • Stephen Wiggins
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 2)


In this chapter we will study transport in two-dimensional vector fields having a quasiperiodic time dependence (note: quasiperiodicity will be precisely defined shortly). In generalizing the time dependence of the vector fields from the periodic case many new difficulties arise, both conceptual and technical. We now want to examine these difficulties in the context of a general discussion of the construction of discrete time maps from the trajectories of time-dependent vector fields.


Vector Field Unstable Manifold Homoclinic Orbit Point Vortex Melnikov Function 
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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Stephen Wiggins
    • 1
  1. 1.Applied Mechanics DepartmentCalifornia Institute of TechnolgyPasadenaUSA

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