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The task of modeling these systems is made particularly challenging by the fact that the generation of the asymptotic explosion energies, although enormous (({sim}10^{44}~mathrm{J})), requires a rather subtle, percent-level imbalance between non-linear processes over many dynamical times.
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Time delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation, or transport phenomena in shared environments, economic models [1, 2], biological systems [3], and in competition in population dynamics [4].
Many dynamical systems in physics, chemistry, biology and engineering sciences have impulsive dynamical behaviors due to abrupt jumps at certain instants during the dynamical processes.
Many dynamical systems are characterized by the property of possessing a bounded absorbing set where all trajectories enter in a finite time and thereafter remain inside.
Many dynamical processes contain both continuous and discrete elements simultaneously.
However, many dynamical systems possess an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process.
Indeed, many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process.
(See dynamical time).
Ephemeris Time (ET; the first correct dynamical time scale) is treated in the section Dynamical time, as are Barycentric Dynamical Time (TDB) and Terrestrial Dynamical Time (TDT), which are more accurate than Ephemeris Time because they take relativity into account.
In consequence, apparent solar time is nonuniform with respect to dynamical time.
Terrestrial Dynamical Time (TDT) is an auxiliary scale defined by the equation TDT = TAI + 32.184 s.
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