77 research outputs found
The analysis on the single particle model of CDW
Full text linkGruner put forward a single particle model of charge-density wave, which is a
typical nonlinear differential equation, and also a mathematical model of
pendulum. This Letter analyzes the solution of equation by the rotated vector
fields theory, providing the relation between the applied field E and the
periodic solution, and the conclusion that the critical value of E for the
periodic solution is fixed in the over-damped situation. With these
conclusions, it derives the formulae of nonlinear conductivity, narrow-band
noise, which are consistent with the empirical ones given by Fleming.Comment: This is a version with a physics focus, the part with a mathematical
focus is submitted at arXiv:0807.328
Effects of exogenous glucagon-like peptide-1 on blood pressure, heart rate, gastric emptying, mesenteric blood flow and glycaemic responses to oral glucose in older individuals with normal glucose tolerance or type 2 diabetes
Full text linkSupplemental Information 7: Viability index (calculated from the data in the previous file—see text)
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Bifurcations of travelling wave solutions for the combined <mml:math altimg="si23.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:mi>k</mml:mi><mml:mspace width="0.12em"/><mml:mtext>d</mml:mtext><mml:mi>v</mml:mi></mml:mrow></mml:math>–<mml:math altimg="si24.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:mi mathvariant="italic">mk</mml:mi><mml:mspace width="0.12em"/><mml:mtext>d</mml:mtext><mml:mi>v</mml:mi></mml:mrow></mml:math> equation
No full textBifurcations and parametric representations of traveling wave solutions for the (2+1)-dimensional Boiti-Leon-Pempinelle system
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An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model
No full textA new approach to build an interval observer for nonlinear uncertain systems is presented in this paper. Nonlinear systems modeled in the Takagi-Sugeno (T-S) form are studied. A T-S proportional observer is first issued by pole-placement and LMI tools. Secondly, time-varying change of coordinates for each dynamic state estimation error is used to design an interval observer. The system state bounds are then directly deduced
Dynamical analysis of a prey-predator model incorporating a prey refuge with variable carrying capacity
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