Results 71 to 80 of about 1,126 (115)
Globally exponentially attractive set of new chaotic system and its numerical simulation
Fuchen Zhang
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Global attractivity in a rational recursive sequence
Applied Mathematics and Computation, 2003The authors investigate the periodic character, invariant intervals and the global attractivity of all positive solutions of the nonlinear difference equation \[ x_{n+1}=\frac{\alpha+\beta x_{n}}{\gamma-x_{n-1}}, \quad n=0,1,\dots, \] where \(\alpha\geq 0\) and \(\beta,\gamma>0.\) It is shown that the positive equilibrium of the equation is a global ...
Wan-Tong Li
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Global attractivity in nicholson's blowflies
Applicable Analysis, 1992We established sufficient conditions for the global attractivity of the positive equilibrium of the delay differential equation [Ndot](t) ≡ −δN(t) + PN(t–τ)e−aN(t–τ) which was used by Gurney, Blythe and Nisbet [1] in describing the dynamics of Nicholson's ...
Mustafa R S Kulenovic
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On the global attractivity controversy for a delay model of hematopoiesis
Applied Mathematics and Computation, 2007In this short paper it is shown, with the help of the general theory of monotone systems, and under some specific hypotheses for function \(f\) that the trivial equilibrium of the delayed differential equation \[ x'(t)= -\mu x(t) +f(x(t-r)) \] is stable and attracts a large subset of positive solutions, for all the values of the delay \(r\).
Gergely Röst
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Global attractivity in a recursive sequence
Applied Mathematics and Computation, 2004The authors consider the rational difference equation \[ x_n = (ax_{n-1} - bx_{n-2})/(c+x_{n-2}) \] with \(a\), \(b\), \(c>0\). The following subjects are addressed: local asymptotic stability of the two equilibria (stability by the first approximation); invariant intervals (``manifolds''); global attractivity of the equilibria.
Xiaofan Yang +3 more
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On the global attractivity of a class of switching systems
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000We investigate the stability properties of a class of switching systems of the form x/spl dot/=A/sub i/x, A/sub i//spl isin/IR/sup n/spl times/n/, A/sub i//spl isin//spl Ascr//spl Delta/=A{A/sub 1/, ..., A/sub m/}. We consider sets of matrices /spl Ascr/, where no single matrix T exists that simultaneously transforms each A/sub i//spl isin/ /spl Ascr ...
Robert Shorten, Fiacre Ó Cairbre
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