The time needed to exchange information in the physical world induces a delay term when
the respective system is modeled by differential equations. Time delays are hence …

This paper investigates the simplifying assumptions used for deriving low order models of
thermoacoustic instabilities and thermoacoustic intermittency in turbulent combustor. These …

The field of dynamical systems with time delay is an active research area that connects
practically all scientific disciplines including mathematics, physics, engineering, biology …

For stochastic systems with discrete time delay, the Fokker–Planck equation (FPE) of the
one-time probability density function (PDF) does not provide a complete, self-contained …

Increasing the number of delays in nonlinear dynamical systems is generally assumed to
lead to higher complexity, but “distributed delay” systems with an infinite number of delays to …

We investigate transitions to simple dynamics in first-order nonlinear differential equations
with multiple delays. With a proper choice of parameters, a single delay can destabilize a …

The nonequilibrium behavior of nanoscopic and biological systems, which are typically
strongly fluctuating, is a major focus of current research. Lately, much progress has been …

The high-dimensional property of delay differential equations makes them useful for various
purposes. The applications of systems modelled with delay differential equations demand …

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Elementary control theory and epidemic spread models illustrate the deadly impacts delay in
recognizing pandemic threat and failure of institutional cognition in facing that threat can …