Limit cycles that do not comprise steady states of chemical reactors
نویسندگان
چکیده
منابع مشابه
Limit Cycles That Do Not Comprise Steady States of Reactors
It is possible that self-induced oscillations appear in reactors, and that their range does not reach the steady state, although such state exists. To prove this, a cascade of tank reactors coupled with mass recycle loop was tested numerically. The above-mentioned phenomenon is characterized by the location of the steady point out of the limit cycle in the phase portrait. This incident may be b...
متن کاملCondensation and evaporation of mutually repelling particles: Steady states and limit cycles.
We study condensation and evaporation of particles which repel each other. The system evolves through a computer simulation using a simple set of rules on a square lattice. Different results are obtained for a mobile and an immobile surface layer. A two point limit cycle is observed for high temperature and pressure in both cases. Here the coverage oscillates between a high and a low value with...
متن کاملChemical reaction systems with toric steady states.
Mass-action chemical reaction systems are frequently used in computational biology. The corresponding polynomial dynamical systems are often large (consisting of tens or even hundreds of ordinary differential equations) and poorly parameterized (due to noisy measurement data and a small number of data points and repetitions). Therefore, it is often difficult to establish the existence of (posit...
متن کاملMolecular discreteness in reaction-diffusion systems yields steady states not seen in the continuum limit.
We investigate the effects of the spatial discreteness of molecules in reaction-diffusion systems. It is found that discreteness within the so-called Kuramoto length can lead to a localization of molecules, resulting in novel steady states that do not exist in the continuous case. These states are analyzed theoretically as the fixed points of accelerated localized reactions, an approach that wa...
متن کاملComplex-Balanced Steady States of Chemical Reaction Networks that Contain an Eulerian Cycle
This work pertains to chemical reaction networks and their equilibria, called steady-states. Our main result states that for a cyclic chemical reaction network, there is a straightforward characterization for when a complex balancing steady state exists. We then extend our results to chemical reaction networks consisting of a closed path traversing each directed edge exactly once.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2017
ISSN: 0096-3003
DOI: 10.1016/j.amc.2017.05.002