Studies on the analysis of nonlinear processes via functional expansions-I. Solution of nonlinear ODEs

Chemical Engineering Science

Volumn 52, Issue 18, 1997, Pages 3183-3195

  Batigün, Ayşegül ^a   Harris, Kenneth R ^a   Palazoǧlu, Ahmet ^a  

^a University of California   (United States)

Author keywords

Analytical solutions; Nonlinear dynamic systems

Indexed keywords

CALCULATIONS; CHEMICAL OPERATIONS; COMPUTER PROGRAMMING LANGUAGES; DIFFERENTIAL EQUATIONS; LAPLACE TRANSFORMS; POLYNOMIALS;

CHEMICAL PROCESS; ORDINARY DIFFERENTIAL EQUATION;

CHEMICAL ANALYSIS;

EID: 0343580478     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(97)00117-6     Document Type: Article

References (20)

1. Adomaitis, R. A. and Çinar, A. (1991) Numerical singularity analysis. Chem. Engng Sci. 46, 1055.
2. Aris, R. and Amundson, N. R. (1958) An analysis of chemical reactor stability and control. Chem. Engng Sci. 7, 121.
3. Balakotaiah, V. and Luss, D. (1981) Analysis of the multiplicity patterns of a CSTR. Chem. Engng Commun. 13, 111.
4. Boyce, W. and DiPrima R. (1986) Elementary Differential Equations and Boundary Value Problems. Wiley, New York, U.S.A.
5. Can, S. and Ünal, A. (1988) Transfer functions for nonlinear systems via Fourier-Borel transforms. Technical Report 100034, NASA.
6. Doyle, F., Ogunnaike, B. A. and Pearson, R. K. (1995) Nonlinear model-based control using second-order Volterra models. Automatica 31, 697.
7. Drazin, P. G. (1992) Nonlinear Systems. Cambridge University Press, New York, U.S.A.
8. Fliess, M., Lamnabhi, M. and Lamnabhi-Lagarrigue, F. (1983) An algebraic approach to nonlinear functional expansions. IEEE Trans. Cir. Sys. CAS-30:554, August 1983.
9. Gantmakher, F. R. (1959) The Theory of Matrices. Chelsea, New York, U.S.A.
10. Harris, K. R. and Palazoǧlu, A. (1997) Studies on the analysis of nonlinear processes via functional expansions - II. Forced dynamic responses. Chem. Engng Sci. 52, 3197-3207.
11. Isidori, A. (1989) Nonlinear Control Systems: An Introduction. Springer, New York, U.S.A.
12. Jensen, K. F. and Ray, W. H. (1982) The bifurcation behavior of tubular reactors. Chem. Engng Sci. 37, 199.
13. Nayfeh, A. H. (1981) Introduction to Perturbation Techniques. Wiley, New York, U.S.A.
14. Nayfeh, A. H. (1993) Method of Normal Forms. Wiley, New York, U.S.A.
15. Razón, L. F. and Schmitz, R. A. (1987) Multiplicities and instabilities in chemical reaction systems - a review. Chem. Engng Sci. 42, 1005.
16. Ree, R. (1958) Lie algebras and an algebra associated with shuffles. Ann. Math. 68, 210.
17. Rugh, R. J. (1981) Nonlinear System Theory: The Volterra/Wiener Approach. The John Hopkins University Press, Baltimore, U.S.A.
18. Schetzen, M. (1980) The Volterra and Wiener Theories of Nonlinear Systems. Wiley, New York, U.S.A.
19. Seydel, R. (1988) From Equilibrium to Chaos - Practical Bifurcation and Stabilitv Analysis. Elsevier, New York, U.S.A.
20. Uppal, A., Ray, W. H. and Poore, A. B. (1974) On the dynamic behavior of continuous stirred tank reactors. Chem. Engng Sci. 29, 967.