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By evaluating the Lyapunov exponents (LEs) of the system, the impact of the slope on the location of LEs are determined analytically.
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System (1) is said to be permanent if there exist two positive constants m, M, and (T_{0}) such that each positive solution (X t)=(x t),y(t))) of the system (1) satisfies (m le x t) le M), (m le y(t) le M) for all (t>T_{0}).
The hub of the system is Châtelet Les-Halles, said to be the world's largest and busiest underground station.
At the same time, he attended the University of Paris X at Nanterre, where in 1968 he completed a dissertation in sociology, Le Système des objects (The System of Objects), under the direction of Marxist historian Henri Lefebvre.
The problem of numerical computation of a few Lyapunov exponents (LEs) of finite-dimensional dynamical systems is considered from the viewpoint of the differential geometry of Stiefel manifolds.
Whether one computes one, many or all LEs of a continuous dynamical system by time integration, discrete or continuous orthonormalization is essential for stable numerical integration.
On the other hand, when we take some values of (alpha le 0.94 ), the fractional system (16) can display the periodic attractors, and asymptotically stable orbits (see Figs. 4, 5).
The insulin LE of the microbeads was 67.3 ± 3.9%.
The demands LE 1, LE 2, and LE 3 are placed at each node of the electrical system.
Loading efficiency (LE) was calculated according to the following equation: (1) LE % = Analyzed weight of drug in nanoparticles Theoretical weight of drug loaded in the system × 100.
Let (I t)) denote the number of high-priority customers in the system at time (t,00 le I t) le {mathcal {N}}=N+K_{mathrm{HP}}).
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CEO of Professional Science Editing for Scientists @ prosciediting.com