Shadowing in perturbation theory

Applicable Analysis

Volumn 62, Issue 1-2, 1996, Pages 161-179

  Murdock, James ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84889469229     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819608840476     Document Type: Article

References (6)

1. Balbi and Jacques‐Henri. 1980. Estimation of the relative error for the averaging method, Int. J. Non- Linear, 15: 13–20.
2. Guckenheimer, John, Holmes and Philip. 1983. Nonlinear Oscillations, Dynamical Systems, and Bifurcations, N.Y: Springer.
3. Ho, C. P., 1991. “ Second order shadowing approximations for passage through resonance and capture at resonance ”. In Ph. D. Dissertation, Ames, Iowa: Iowa State University.
4. Murdock and James. 1990. A shadowing approach to passage through resonance. Proc. Royal Soc, ll6: 1–22.
5. Murdock, James and Perturbations. 1991. Theory and Methods, N.Y: Wiley.
6. Murdock and James. Shadowing multiple elbow orbits: an application of dynamical systems to perturbation. J. Differential Equations, 119224–247.