Intrinsic low-dimensional manifold

In chemical kinetics, an intrinsic low-dimensional manifold is a technique to simplify the study of reaction mechanisms using dynamical systems, first proposed in 1992.[1][2][3]

The ILDM approach fixes a low dimensional surface which describes well the slow dynamics and assumes that after a short time the fast dynamics are less important and the system can be described in the lower-dimensional space.[4]

See also

• Intrinsic dimension

References

1. Maas, U.; Pope, S. B. (1992). "Implementation of simplified chemical kinetics based on intrinsic low-dimensional manifolds" (PDF). Symposium (International) on Combustion. 24: 103–112. doi:10.1016/S0082-0784(06)80017-2.
2. Maas, U.; Pope, S. B. (1992). "Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space" (PDF). Combustion and Flame. 88 (3–4): 239. doi:10.1016/0010-2180(92)90034-M.
3. Bongers, H.; Van Oijen, J. A.; De Goey, L. P. H. (2002). "Intrinsic low-dimensional manifold method extended with diffusion". Proceedings of the Combustion Institute. 29: 1371–1378. doi:10.1016/S1540-7489(02)80168-7.
4. Tomlin, A. S.; Whitehouse, L.; Lowe, R. (2002). "The Estimation of Intrinsic Low Dimensional Manifold Dimension in Atmospheric Chemical Reaction Systems". Air Pollution Modelling and Simulation. p. 245. doi:10.1007/978-3-662-04956-3_25. ISBN 978-3-642-07637-4.