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Constrained positive limit cycles in linear periodic processes

โœ Scribed by D. Platt; R. Lavie

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
403 KB
Volume
36
Category
Article
ISSN
0009-2509

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โœฆ Synopsis

test is suggested for processes described by linear ordinary differential equations with periodic cocffcicnts that will ascertain asymptotic convcrgencc of the solution to a physically meaningful limit cycle. This test can be useful as a check OR mathematical models of periodic processes before spending efforta on a computational exploration of the solutions. It may also be used to generate a control policy that forces the solution into a desired region of space. Three chemical engineering sample applications are presented concerning a periodic chemical reactor, a parametric pump aad the control of a solar evaporation pond.

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โœ S. LYNCH; C.J. CHRISTOPHER ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 142 KB

This paper is concerned with both small-amplitude and large-amplitude limit cycle bifurcations of planar di!erential systems. The analysis is not restricted to minimal models with few non-linear terms, in fact, the novel approach adopted here is to consider di!erential equations containing highly no