Measurements of phase response in an oscillatory reaction and deduction of components of the adjoint eigenvector

Journal Article · Thu Oct 14 00:00:00 EDT 1999 · Journal of Physical Chemistry A: Molecules, Spectroscopy, Kinetics, Environment, amp General Theory

DOI:https://doi.org/10.1021/jp992056p· OSTI ID:20001150

Millett, I; Vance, W; Ross, J

The authors present the first experiments that use the phase response method to determine components of the adjoint eigenvector (of the Jacobian matrix of the linearized system) of an oscillating reaction system. The Briggs-Rauscher reaction was studied near a supercritical Hopf bifurcation. Phase response curves for I{sup {minus}} and Mn{sup 2+} have been determined, and from them corresponding components of the adjoint eigenvector have been deduced. The relative magnitudes and difference in arguments of these components agree reasonably well with those from a reduced model of the Briggs-Rauscher reaction, whereas agreement with results from quenching experiments is mixed.

• Research Organization: Stanford Univ., CA (US)
• Sponsoring Organization: USDOE; National Science Foundation (NSF)
• OSTI ID: 20001150
• Journal Information: Journal of Physical Chemistry A: Molecules, Spectroscopy, Kinetics, Environment, amp General Theory, Vol. 103, Issue 41; Other Information: PBD: 14 Oct 1999; ISSN 1089-5639
• Country of Publication: United States
• Language: English

Related Subjects

40 CHEMISTRY
EIGENVECTORS
OSCILLATORS
JACOBIAN FUNCTION
OXIDATION
IODATES
MALONIC ACID
MANGANESE
CATALYSTS