90 research outputs found
Characterizing the structural and folding properties of long-sequence hypomurocin B peptides and their analogs
Local stability implies global stability for the 2-dimensional Ricker map
Consider the difference equation where
is a positive parameter and d is a non-negative integer. The case d =
0 was introduced by W.E. Ricker in 1954. For the delayed version d >= 1 of the
equation S. Levin and R. May conjectured in 1976 that local stability of the
nontrivial equilibrium implies its global stability. Based on rigorous,
computer aided calculations and analytical tools, we prove the conjecture for d
= 1.Comment: for associated C++ program, mathematica worksheet and output, see
http://www.math.u-szeged.hu/~krisztin/ricke
Global stability in a system using echo for position control
We consider a system of equations describing automatic position control by echo. The system can be reduced to a single differential equation with state-dependent delay. The delayed terms come from the control mechanism and the reaction time. H.-O. Walther [Differ. Integral Equ. 15(2002), No. 8, 923–944] proved that stable periodic motion is possible for large enough reaction time. We show that, for sufficiently small reaction lag, the control is perfect, i.e., the preferred position of the system is globally asymptotically stable
Global stability in a system using echo for position control
We consider a system of equations describing automatic position control by echo. The system can be reduced to a single differential equation with state-dependent delay. The delayed terms come from the control mechanism and the reaction time. H.-O. Walther [Differ. Integral Equ. 15(2002), No. 8, 923–944] proved that stable periodic motion is possible for large enough reaction time. We show that, for sufficiently small reaction lag, the control is perfect, i.e., the preferred position of the system is globally asymptotically stable
A siketek és nagyothallók munkaerőpiaci és személyes sikerének nyelvi és nyelvi szocializációs tényezői
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