Linear Algebraic Method for Non-Linear Map Analysis
Conference
·
OSTI ID:958709
We present a newly developed method to analyze some non-linear dynamics problems such as the Henon map using a matrix analysis method from linear algebra. Choosing the Henon map as an example, we analyze the spectral structure, the tune-amplitude dependence, the variation of tune and amplitude during the particle motion, etc., using the method of Jordan decomposition which is widely used in conventional linear algebra.
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Organization:
- Doe - Office Of Science
- DOE Contract Number:
- DE-AC02-98CH10886
- OSTI ID:
- 958709
- Report Number(s):
- BNL-82321-2009-CP; 39KC02000; TRN: US1000048
- Resource Relation:
- Conference: 2009 Particle Accelerator Conference (PAC09); Vancouver, British Columbia; 20090504 through 20090506
- Country of Publication:
- United States
- Language:
- English
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