Algebraic recasting of nonlinear systems of ODEs into universal formats

Journal of Physics A: Mathematical and General

Volumn 31, Issue 10, 1998, Pages 2415-2430

  Hernández Bermejo, Benito ^a   Fairén, Víctor ^a   Brenig, Léon ^b  

^a UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040712208     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/10/016     Document Type: Article

References (23)

1. Voit E O, Savageau M A and Irvine D H 1991 Introduction to S-systems Canonical Nonlinear Modeling: S-system Approach to Understanding Complexity ed E O Voit (New York: Van Nostrand Reinhold) p 47
2. Brenig L 1988 Phys. Lett. 133A 378
3. Stiefel E L and Sheifele G 1971 Linear and Regular Celestial Mechanics (Berlin: Springer) p 145
4. Fairén V, López V and Conde L 1988 Am. J. Phys. 56 57
5. Brunini A and Zadunaisky P E 1993 Comput. Phys. 7 81
6. Pickett R C, Anderson R K and Lindgren G E 1993 Am. J. Phys. 61 81
7. Irvine D H, Savageau M A and Voit E O 1991 Analysis of complex dynamic networks with ESSYNS Canonical Nonlinear Modeling: S-system Approach to Understanding Complexity ed E O Voit (New York: Van Nostrand Reinhold) p 133
8. Quispel G R W and Capel H W 1996 Phys. Lett. A 218 223
9. Carleman T 1932 Acta Math. 59 63
10. Kowalski K and Steeb W H 1991 Nonlinear Dynamical Systems and Carleman Linearization (Singapore: World Scientific)
11. Kerner E H 1981 J. Math. Phys. 22 1366
12. Voit E O 1991 Canonical nonlinear forms: recasting Canonical Nonlinear Modeling: S-system Approach to Understanding Complexity ed E O Voit (New York: Van Nostrand Reinhold) p 213
13. Hernández-Bermejo B and Fairén V 1997 Math. Biosci. 140 1
14. Hernández-Bermejo B and Fairén V 1995 Phys. Lett. A 206 31
15. Peschel M and Mende W 1986 The Predator-Prey Model. Do We Live in a Volterra World? (New York: Springer)
16. Fairén V and Hernández-Bermejo B 1996 J. Phys. Chem. 100 19 023
17. Gouzé J L 1990 Transformation of polynomial differential systems in the positive orthant Rapport INRIA no 1308, Sophia-Antipolis, 06561 Valbonne Cedex, France
18. Brenig L and Goriely A 1989 Phys. Rev. A 40 4119
19. Brenig L and Goriely A 1994 Painlevé analysis and normal forms Computer Algebra and Differential Equations ed E Tournier (Cambridge: Cambridge University Press) p 211
20. Goriely A 1992 J. Math. Phys. 33 2728
21. Bransden B H and Joachain C J 1990 Physics of Atoms and Molecules (London: Longman)
22. Cuerno R and Velarde M G 1988 High-order Langmuir-Hinselwood kinetics and limit cycle oscillations in non-equilibrium semiconductors Synergetics, Order and Chaos ed M G Velarde (London: World Scientific) p 282
23. Nicolis G and Prigogine I 1977 Self-organization in Non-equilibrium Systems. From Dissipative Structures to Order Through Fluctuations (New York: Wiley)