The Geometrical Point of View of Dynamical Systems: Background Material, Poincaré Maps, and Examples

  • Stephen Wiggins
Part of the Texts in Applied Mathematics book series (TAM, volume 2)


Our main goal in the study of dynamical systems is simple. Given a specific dynamical system, give a complete characterization of the geometry of the orbit structure. If the dynamical system depends on parameters, then characterize the change in the orbit structure as the parameters are varied.


Vector Field Periodic Orbit Invariant Manifold Unstable Manifold Homoclinic Orbit 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Stephen Wiggins
    • 1
  1. 1.Department of Applied MechanicsCalifornia Institute of TechnologyPasadenaUSA

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