Bifurcation and chaos for a mutating autocatalator in a CSTR

Bioprocess Engineering

Volumn 22, Issue 4, 2000, Pages 337-346

  Abasaeed, A E ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOPROCESS; CATALYSIS; CATALYST; CHEMICAL REACTION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; TANK;

BASIDIOMYCOTA;

EID: 2442482078     PISSN: 0178515X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004490050741     Document Type: Article

References (16)

1. 1. Balakotaiah, V.; Luss, D.: Multiplicity Criteria for Multiple-Reaction Network. A.I.Ch.E.J. 29 (1983) 552-560
2. 2. Balakotaiah, V.; Luss, D.: Analysis of Multiplicity Patterns of a CSTR. Chem. Engng. Commun. 13 (1982) 111-124
3. 3. Abasaeed, A.E.; Elnashaie, S.S.E.H.: On the chaotic behaviour of Externally forced Industrial Fluid Catalytic Cracking Units. Chaos, Solitons & Fractals. 9 (1998) 455-470
4. 4. Elnashaie, S.S.E.H.; Abasaeed, A.E.; Elshishini, S.S.: Digital Simulation of Industrial Fluid Catalytic Cracking Units: V. Static and Dynamic Bifurcation Behaviour. Chem. Eng. Sci. 50 (1995) 1635-1644
5. 5. Uppal, A.; Ray, W.H.; Poore, A.B.: On the Dynamic Behaviour of Continuous Stirred Tank Reactors. Chem. Eng. Sci. 29 (1974) 967-985
6. 6. Alhumaizi, K.; Aris, R.: Chaos in a Simple Two-Phase Reactor. Chaos, Solitons & Fractals. 4 (1994) 1985-2014
7. 7. Gray, P.; Scott, S.K.: Autocatalytic Reactions in the Isothermal, Continuous Stirred Tank Reactor. Isola and Other Forms of Multiplicity. Chem. Eng. Sci. 38 (1983) 29-43
8. 8. Gray, P.; Scott, S.K.: Autocatalytic Reactions in the Isothermal, Continuous Stirred Tank Reactor. Oscillations and Instabilities in the System. Chem. Eng. Sci. 39 (1984) 1087-1097
9. 9. Peng, B.; Scott, S.K.; Showalter, K.: Period-Doubling and Chaos in a Three-Variable Autocatalator. J. Phys. Chem. 94 (1990) 5243-5246
10. 10. Lynch, D.T.: Chaotic Behavior of Reaction Systems: Parallel Cubic Autocatalator. Chem. Eng. Sci. 47 (1992) 347-355
11. 11. Lynch, D.T.: Chaotic Behavior of Reaction Systems: Mixed Cubic and Quadratic Autocatalysis. Chem. Eng. Sci. 47 (1992) 4435-4444
12. 12. Leach, J.A.; Merkin, J.H.; Scott, S.K.: An Analysis of a Two-Cell Coupled Nonlinear Chemical Oscillator. Dynamics and Stability of Systems 6 (1991) 341-365
13. 13. Doedel, E.J.; Kernevez, J.P.: Auto: Software for continuation and bifurcation problems in ordinary differential equations. (1986) California Institute of Technology, CA, USA
14. 14. Wolf, A.; Swift, J.B.; Swinney, H.L.; Vastano, J.A.: Determining Lyapunov Exponents from a Time Series. Physica 16D (1985) 285-317
15. 15. Pomeau, Y.; Manneville, P.: Intermittent transition to turbulence in dissipative dynamical systems. Commun. Math. Phys. 74 (1980) 189-197
16. 16. Tambe, S.S.; Kulkarni, B.D.: Intermittency route to chaos in a periodically forced model reaction system. Chem. Engng. Sci. 48 (1993) 2817-2821