Oscillations in Planar Deficiency-One Mass-Action Systems
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DOI: 10.1007/s10884-021-10051-z
Abstract: Whereas the positive equilibrium of a planar mass-action system with deficiency zero is always globally stable, for deficiency-one networks there are many different scenarios, mainly involving oscillatory behaviour. We present several examples, with centers or… read more here.
Keywords: mass action; deficiency; deficiency one; oscillations planar ... See more keywords
A Deficiency-One Algorithm for power-law kinetic systems with reactant-determined interactions
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DOI: 10.1007/s10910-018-0925-2
Abstract: This paper addresses the problem of determining the capacity of a deficiency-one network, endowed with rate laws more general than mass action kinetics, to admit multiple positive steady states—that is, whether there exist rate constants… read more here.
Keywords: deficiency one; power law; one algorithm;
Transitive Deficiency One Parallelisms of PG(3, 7)
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DOI: 10.3390/math11112458
Abstract: Consider the n-dimensional projective space PG(n,q) over a finite field with q elements. A spread in PG(n,q) is a set of lines which partition the point set. A parallelism is a partition of the set… read more here.
Keywords: transitive deficiency; parallelism; deficiency one; one parallelisms ... See more keywords