Comparison of calculated axial secular frequencies in nonlinear ion trap by homotopy method with the exact results and the results of Lindstedt-Poincare approximation

International Journal of Mass Spectrometry

Volumn 296, Issue 1-3, 2010, Pages 43-46

  Doroudi, Alireza ^a  

^a NUCLEAR SCIENCE AND TECHNOLOGY RESEARCH INSTITUTE   (Iran)

Author keywords

Hexapole; Homotopy perturbation method; Nonlinear ion trap; Secular frequency

Indexed keywords

EID: 77957752823     PISSN: 13873806     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijms.2010.07.029     Document Type: Article

References (29)

1. McLachlan N.W. Ordinary Non-linear Differential Equations in Engineering and Physical Sciences 1958, Oxford University Press, UK.
2. Vedel F., Vedel M. Practical Aspects of Ion Trap Mass Spectrometry 1995, CRC, New York. R.E. March, J.F.J. Todd (Eds.).
3. Makarov A.A. Anal. Chem. 1996, 68:4257.
4. Londy F.L., Alfred R.L., March R.E. J. Am. Soc. Mass Spectrom. 1993, 4:687.
5. March R.E., McMahon A.W., Londry F.A., Alfred R.F., Todd J.F.J., Vedel F. Int. J. Mass Spectrom. Ion Process. 1989, 95:119.
6. March R.E., McMahon A.W., Allinson E.T., Londry F.A., Alfred R.F., Todd J.F.J., Vedel F. Int. J. Mass Spectrom. Ion Process. 1990, 99:109.
7. Bui H.A., Cooks R.G. J. Mass spectrom. 1998, 33:297.
8. Chu X.Z., Holzki M., Alheit R., Weitha G. Int. J. Mass Spectrom. Ion Process. 1998, 173:107.
9. Vedel M., Rocher J.U., Knoop M., Vedel F. Appl. Phys. B 1998, 66:191.
10. March R.E., Todd J.F.J. Quadrupole Ion Trap Mass Spectrometry 2005, John Wiley & Sons, Inc, Amsterdam.
11. Dawson P.H. Quadrupole Mass Spectrometry and It's Application 1976, Elsevier, Amsterdam.
12. Franzen J. Int. J. Mass spectrom. Ion Process. 1993, 125:165.
13. Nappi M., Frankevich V., Soni M., Cooks R.G. Int. J. Mass Spectrom. Ion Process. 1998, 177:91.
14. Sevugarajan S., Menon A.G. Int. J. Mass Spectrom. 1999, 189:53.
15. Apostol B.F. J. Theor. Phys. 2003, 86:1.
16. Amore P., Fernandez F.M. Eur. J. Phys. 2005, 26:589.
17. Doroudi A. Phys. Rev. E 2009, 80:56603-56611.
18. J.B. Marion, Classical Dynamics of Particles and Systems, San Diego, 1970.
19. Nayfeh A.H. Problems in Perturbations 1985, Wiley, New York.
20. He J.H. Phys. Lett. A 2006, 350:87.
21. He J.H. Phys. Lett. A 2005, 347:228.
22. He J.H. Chaos Soliton Fractals 2005, 26:695.
23. He J.H. Appl. Math. Comput. 2004, 156:591.
24. He J.H. Int. J. Mod. Phys. B 2006, 20:1141.
25. He J.H. Topological Methods Nonlinear Anal. J. Juliusz Schauder Center 2008, 31:205.
26. Jackson J.D. Classical Electrodynamics. John Wiley & Sons, Inc. 1999.
27. Landau L.D., Lifshitz E.M. Mechanics 1981, Reed Publishing Ltd.
28. Nayfeh A.H., Mook D.T. Non-linear Oscillations 1995, John Wiley and Sons, Inc., New York.
29. He J.H. Int. J. Non Linear Mech. 2002, 37:315.