Numerical analysis of higher-order singularities in complex chemical process models in ProMoT

Computer Aided Chemical Engineering

Volumn 20, Issue C, 2005, Pages 223-228

  Krasnyk, Michael ^a   Ginkel, Martin ^a   Mangold, M ^a   Kienle, Achim ^a,b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

^b OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

augmented system; bifurcation; nonlinear analysis; singularity theory

Indexed keywords

EID: 77956742589     PISSN: 15707946     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1570-7946(05)80159-2     Document Type: Article

References (12)

1. CAPE-OPEN Next Generation Computer-Aided Process Engineering Open Simulation Environment (1999)
2. Clarkson M. DOE-Maxima Reference Manual, Version 5.9 (2002)
3. Davis T.A. UMFPACK Version 4.3 User Guide. Revision of Technical report TR-03-008 (2004)
4. Doedel E., Paffenroth R.C., Champneys A.R., Fairgrieve T.F., Kuznetsov Y.A., Oldeman B.E., Sandstede B., and Wang X. AUTO2000: Continuation and bifurcation software for ordinary differential equations (with HOMCONT). Technical report (2002), Concordia University
5. Ginkel M. The PROMOT Manual (2002)
6. Golubitsky M., and Schaeffer D.G. Singularities and groups in bifurcationtheory Vol. I (1985), Springer-Verlag, New York
7. Häfele M., Kienle A., Klein E., Kremling A., Majer C., Mangold M., Spieker A., Stein E., Waschler R., and Zeyer K.P. User Manual DIVA3.9 (2003)
8. Kunkel P. Augmented systems for generalized turning points. In: Seydel S., and Küpper T. (Eds). Bifurcation and Chaos: Analysis, Algorithms, Applications (1991), Birkhäuser 231-236
9. Kuznetsov Yu.A., and Levitin V.V. CONTENT: A multiplatform environment for continuation and bifurcation analysis of dynamical systems (1997), Centrum voor Wiskunde en Informatica, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands
10. Mangold M., Krasnyk M., Kienle A., and Sundmacher K. Instabilities in High-Temperature Fuel Cells due to Combined Heat and Charge Transport (2004)
11. Salinger A.G., Bou-Rabee N.M., Pawlowski R.P., Wilkes E.D., Burroughs E.A., Lehoucq R.B., and Romero L.A. LOCA 1.1 Library Of Continuation Algorithms: Theory and Implementation Manual (2002)
12. Satish B., Buschelman K., Eijkhout V., Gropp W.D., Kaushik D., Knepley M.G., McInnes L.C., Smith B.F., and Zhang H. PETSc Users Manual (2004), Argonne National Laboratory