Transport in Two-Dimensional Maps: General Principles and Results

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


In Chapter 1 we introduced a variety of applications for which some of the questions relevant to the applications could be phrased in terms of a phase space transport problem. These phase space transport problems were motivated by considering systems that could be expressed as perturbations of integrable one-degree-of-freedom Hamiltonian systems. This was instructive because the unperturbed systems possessed qualitatively different motions, bounded by separatrices, that could be easily characterized in the context of the application. When the system was perturbed, it was natural to discuss transitions between these regions of qualitatively different motions.


Unstable Manifold Homoclinic Orbit Rotation Number Heteroclinic Cycle Bernoulli Shift 
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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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