Premium
Bifurcation of periodic orbits in coupled chemical reactors I
Author(s) -
Kirchgraber U.,
Hagedorn P.
Publication year - 1981
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670030121
Subject(s) - mathematics , bifurcation , transcritical bifurcation , saddle node bifurcation , invariant (physics) , bifurcation theory , periodic orbits , mathematical analysis , invariant manifold , homoclinic bifurcation , center manifold , transformation (genetics) , manifold (fluid mechanics) , chemical reactor , bifurcation diagram , nonlinear system , hopf bifurcation , mathematical physics , thermodynamics , physics , chemistry , gene , engineering , mechanical engineering , biochemistry , quantum mechanics
This paper provides a rigorous approach to the problem of bifurcation of periodic orbits of a chemical reactor system recently studied by Marek and Stuckl, and by Neu. Using transformation techniques and invariant manifold theory the problem is reduced to a two‐parameter bifurcation equation in R.