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Criteria for oscillation of noncanonical superlinear half-linear dynamic equations. [PDF]

open access: yesSci Rep
Hassan TS   +6 more
europepmc   +1 more source

Delay Differential Equations

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
  +7 more sources

Metastability for delayed differential equations

Physical Review E, 1999
In 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.
Khashayar Pakdaman   +2 more
openaire   +3 more sources

Delay differential equations

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.
José A. Langa   +2 more
openaire   +4 more sources

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