FRXPLS —  Invited Oral: Beam Dynamics and EM Fields   (24-May-19   10:00—10:30)
Chair: N.R. Lobanov, Research School of Physics and Engineering, Australian National University, Canberra, Australian Capitol Territory, Australia
Paper Title Page
FRXPLS1
Symplectic Period Three Implies Chaos  
 
  • T. Zolkin
    Fermilab, Batavia, Illinois, USA
 
  This invited talk describes a new concept of nonlinear dynamics that expands the classic work of Li and Yorke "Period Three Implies Chaos" to certain categories of symplectic maps. The theoretical classification of this type of chaos in accelerator systems may lead to the development of new control and feedback methods as seen similarly in fluid dynamics, and advance to experimental investigation at the Integrable Optics Test Accelerator at Fermilab.
* G. Rega, S. Lenci, and J.M.T Thompson, "Controlling Chaos: The OGY Method…", in "Nonlinear Dynamics and Chaos: Advances and Perspectives. Understanding Complex Systems". Springer, Berlin, 2010.
 
slides icon Slides FRXPLS1 [4.049 MB]  
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