Calculation of secular axial frequencies in a nonlinear ion trap with hexapole, octopole and decapole superpositions by a modified Lindstedt-Poincare method

International Journal of Mass Spectrometry

Volumn 309, Issue , 2012, Pages 104-108

  Doroudi, Alireza ^a   Asl, Amineh Rezaeian ^b  

^a NUCLEAR SCIENCE AND TECHNOLOGY RESEARCH INSTITUTE   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Asymmetric oscillator; Modified Lindstedt Poincare; Nonlinear ion trap; Secular frequency; Symmetric oscillator

Indexed keywords

EID: 82755189389     PISSN: 13873806     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijms.2011.09.003     Document Type: Article

References (28)

1. N.W. McLachlan Ordinary Non-linear Differential Equations in Engineering and Physical Sciences 1958 Oxford University Press UK
2. J. Franzen Int. J. Mass Spectrom. Ion Process 125 1993 165
3. M. Nappi, V. Frankevich, M. Soni, and R.G. Cooks Int. J. Mass Spectrom. Ion Process 177 1998 91
4. S. Sevugarajan, and A.G. Menon Int. J. Mass Spectrom. 189 1999 53
5. S. Sevugarajan, and A.G. Menon Int. J. Mass Spectrom. 197 2000 263
6. S. Sevugarajan, and A.G. Menon Int. J. Mass Spectrom. 209 2001 209
7. A. Doroudi Phys. Rev. E 80 2009 056603 56611
8. A. Doroudi Int. J. Mass Spectrom. 296 2010 43
9. J.H. He Phys. Lett. A 350 2006 87
10. J.H. He Phys. Lett. A 347 2005 228
11. J.H. He Chaos Soliton Fractals 26 2005 695
12. J.H. He Appl. Math. Comput. 156 2004 591
13. H. Hu J. Sound Vib. 293 2006 462
14. H. Hu J. Sound Vib. 299 2007 331
15. B.F. Apostol J. Theor. Phys. 86 2003 1
16. P. Amore, and F.M. Fernandez Eur. J. Phys. 26 2005 589
17. J.H. He Int. J. Nonlin. Mech. 37 2002 309
18. J.H. He Int. J. Nonlin. Mech. 37 2002 315
19. J.H. He Int. J. Mod. Phys. B 20 2006 1141
20. J.D. Jackson Classical Electrodynamics 1999 John Wiley & Sons Inc
21. L.D. Landau, and E.M. Lifshitz Mechanics 1981 Reed Publishing Ltd
22. A.H. Nayfeh Problems in Perturbations 1985 Wiley New York
23. A.H. Nayfeh, and D.T. Mook Non-linear Oscillations 1995 John Wiley and Sons, Inc New York
24. D.D. Ganji, H. Seyed, and Hashemi Kachapi Prog. Nonlin. Sci. 2 2011 1
25. D.D. Ganji, H. Seyed, and Hashemi Kachapi Prog. Nonlin. Sci. 3 2011 1
26. P. Amore, and A. Aranda J. Sound Vib. 283 2005 1115
27. A. Belendez, T. Belendez, A. Marquez, and C. Neipp Chaos. Solitons Fractals 37 2008 770
28. A.Y.T. Leung, and Z. Guo J. Sound Vib. 325 2009 287