Sentence examples for various dynamical systems from inspiring English sources
First, we introduce a general dynamic space on which various dynamical systems are developed.
Uncertainties are often encountered in various dynamical systems due to modeling errors, measurement noises, linearization and approximations.
It is well known that stability is one of the basic problems in various dynamical systems.
In summary, we incorporated various dynamical systems such as classical mechanics of a mass point and equilibrium thermodynamics and quantum mechanics of a point particle into a general mathematical framework.
CVNNs has more remarkable applications in various dynamical systems, such as Lyapunov asymptotic stability, global stability and Hopf bifurcations compared with the real-valued NNs [8, 18, 29 32].
Fractional dynamics can be encountered in various nonlinear dynamical systems such as visco-elastic materials, electrochemical processes, thermal systems, transmission and acoustics, chaos and fractals, biomechanical systems, and many others.
The generalized H 2 approach has been known as a significant concept to examine the stability of various nonlinear dynamical systems.
Moreover, the different techniques have been applied to investigate the stability of various fractional dynamical systems, such as the principle of contraction mappings [10], the Lyapunov direct method [11], linear matrix inequalities [12], Gronwall inequalities [13 16] and fixed-point theorems [17].
Among various properties of dynamical systems, dissipativity is one of important characteristics.
Temporal continuity can be explored in various ways, including dynamical systems such as Kalman [16] and Particle filters [17] or using temporal graphs that emphasize spatiotemporal continuity.
In the theory of differential equations, homoclinic solutions, namely doubly asymptotic solutions, play an important role in the study of various models of continuous dynamical systems and frequently have tremendous effects on the dynamics of nonlinear systems.
