Structure and Breakdown of Invariant Tori in a 4-D Mapping Model of Accelerator Dynamics
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Publication:4213826
DOI10.1142/S0218127497001825zbMath0906.58013MaRDI QIDQ4213826
Heinz Isliker, Michael N. Vrahatis, Tassos C. Bountis
Publication date: 14 February 1999
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
periodic orbitscorrelation dimensionLjapunov exponentsbeam stability4-D symplectic mapscircular particle acceleratorsphase space dynamicsrotational torus
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Cites Work
- An efficient method for locating and computing periodic orbits of nonlinear mappings
- An approximate renormalization for the break-up of invariant tori with three frequencies
- Simple three-dimensional periodic orbits in a galactic-type potential
- Solving systems of nonlinear equations using the nonzero value of the topological degree
- PERIODIC ORBITS AND INVARIANT SURFACES OF 4D NONLINEAR MAPPINGS
- Ergodic theory of chaos and strange attractors
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