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Algorithmic Global Criteria for Excluding Oscillations
Bulletin of Mathematical Biology, 2011We investigate algorithmic methods to tackle the following problem: Given a system of parametric ordinary differential equations built by a biological model, does there exist ranges of values for the model parameters and variables which are both meaningful from a biological point of view and where oscillating trajectories, can be found? We show that in
Weber, A. +2 more
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Oscillation Criteria for Quasilinear Equations
Canadian Journal of Mathematics, 1974Several authors have recently considered the problem of establishing sufficient criteria to guarantee the oscillation or non-oscillation of all solutions of a second order elliptic equation or system. We mention in particular the papers of C. A. Swanson, [15; 16], K. Kreith [9], Kreith and Travis [10], Noussair and Swanson [13], Allegretto and Swanson [
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Perturbative Oscillation Criteria and Hardy‐Type Ineqalities
Mathematische Nachrichten, 1998AbstractWe prove a natural generalization of Kneser's oscillation and Hardy's inequality for Sturm‐Liouville differential expressions. In Particular, assuming − d/dxp0(x)+q0(x), x ∈ a, b), −∞≦a<b≦∞, to be nonoscillatory near a (or b), we determine condition on q(x) such that − d/dxp0(x)+q0(x)+q(x) is nonoscillatory, respectively, oscillatory near a (
Gesztesy, F., Ünal, M.
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Chaotic Oscillation via Edge of Chaos Criteria
International Journal of Bifurcation and Chaos, 2017In this paper, we show that nonlinear dynamical systems which satisfy the edge of chaos criteria can bifurcate from a stable equilibrium point regime to a chaotic regime by periodic forcing. That is, the edge of chaos criteria can be exploited to engineer a phase transition from ordered to chaotic behavior. The frequency of the periodic forcing can be
Itoh, Makoto, Chua, Leon
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Iterative Oscillation Criteria in Deviating Difference Equations
Mediterranean Journal of Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
George E. Chatzarakis, Irena Jadlovská
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