Differential Algebraic Formulation of Normal Form Theory

作者: Martin Berz

DOI:

关键词:

摘要: … A differential algebraic (DA) formulation of a normal form theory for repetitive systems is presented. … and not restricted to the treatment of symplectic systems. In the case of symplectic …

参考文章(8)
Alex J. Dragt, Lectures on nonlinear orbit dynamics Physics of High Energy Particle Accelerators. ,vol. 87, pp. 147- 313 ,(1982) , 10.1063/1.33615
A. Bazzani, P. Mazzanti, G. Servizi, G. Turchetti, Normal forms for Hamiltonian maps and nonlinear effects in a particle accelerator Il Nuovo Cimento B. ,vol. 102, pp. 51- 80 ,(1988) , 10.1007/BF02728793
M. Berz, E. Forest, J. Irwin, Normal form methods for complicated periodic systems Particle Accelerators. ,vol. 24, pp. 91- 107 ,(1989)
Martin Berz, Computational aspects of optics design and simulation: COSY INFINITY Nuclear Instruments & Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment. ,vol. 298, pp. 473- 479 ,(1990) , 10.1016/0168-9002(90)90649-Q
Alex J. Dragt, John M. Finn, Normal form for mirror machine Hamiltonians Journal of Mathematical Physics. ,vol. 20, pp. 2649- 2660 ,(1979) , 10.1063/1.524029
Martin Berz, Arbitrary order description of arbitrary particle optical systems Nuclear Instruments & Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment. ,vol. 298, pp. 426- 440 ,(1990) , 10.1016/0168-9002(90)90646-N
M. Berz, Differential Algebraic Description of Beam Dynamics to Very High Orders Particle Accelerators. ,vol. 24, pp. 109- 124 ,(1988)
E.D Courant, H.S Snyder, Theory of the Alternating-Gradient Synchrotron Annals of Physics. ,vol. 281, pp. 360- 408 ,(1958) , 10.1016/0003-4916(58)90012-5