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Mathematical Modeling of Population Dynamics of Pollinators: A Survey. [PDF]
Biology (Basel)Huancas F +3 more
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Dynamical complexity of a three species food chain model incorporating delays and toxic habitat. [PDF]
Sci RepThommandru DR +3 more
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Privacy-Preserving Average-Tracking Control for Multi-Agent Systems with Constant Reference Signals. [PDF]
Entropy (Basel)Jiang W, Liu CL.
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Delay-aware chemotherapy dosing via online critic learning. [PDF]
Sci RepRahimi F, Samadi M.
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2010
Dynamical systems with delay (which we simply designate hereafter as delay dynamical systems or delay systems) are abundant in nature. They occur in a wide variety of physical, chemical, engineering, economic and biological systems and their networks. One can cite many examples where delay plays an important role.
M. Lakshmanan, D.V. Senthilkumar
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Dynamical systems with delay (which we simply designate hereafter as delay dynamical systems or delay systems) are abundant in nature. They occur in a wide variety of physical, chemical, engineering, economic and biological systems and their networks. One can cite many examples where delay plays an important role.
M. Lakshmanan, D.V. Senthilkumar
+4 more sources
2012
In this chapter we study general non-autonomous delay differential equations of the form $$\dot{x}(t) = F(t,x(t),x(t - \rho (t))).$$ Our intention is to demonstrate how pullback attractors can be used to investigate the behaviour of such models.
Alexandre N. Carvalho +2 more
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In this chapter we study general non-autonomous delay differential equations of the form $$\dot{x}(t) = F(t,x(t),x(t - \rho (t))).$$ Our intention is to demonstrate how pullback attractors can be used to investigate the behaviour of such models.
Alexandre N. Carvalho +2 more
openaire +2 more sources
Metastability for delayed differential equations
Physical Review E, 1999In systems at phase transitions, two phases of the same substance may coexist for a long time before one of them dominates. We show that a similar phenomenon occurs in systems with delayed feedback, where short-term stable oscillatory patterns can also have very long lifetimes before vanishing into constant or periodic steady states.
C, Grotta-Ragazzo +2 more
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