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As demonstrated in the authors' previous work, damping matrices in the equation of motion of a dynamics system can be identified from the frequency response function matrix (FRM) of the system.
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In a population dynamics system, a lot of mathematical models in partial differential equations to study the relationship between predators and preys have been proposed by mathematicians, biologists and ecologists [1, 2].
Considering the need of scientific computation and real-time simulation, our interest is focused on the behaviors of a discrete dynamics system corresponding to (1.1).
The pedestrian model adopted is a multibody dynamics system consisting of many rigid bodies.
The test problems include a prototype propagating nonlinear reaction diffusion wave, a non-equilibrium radiation diffusion system, a Brusselator chemical dynamics system and a blow-up example.
It is well known that time delays have a strong impact on dynamics of a dynamical system and effect of time delays on the dynamics of a dynamical system can be found in [1, 9, 14 20].
An illustrative example is presented to detect a sensor fault on a vehicle lateral dynamics system.
Liu and Chung [27] proposed a hybrid control strategy for bifurcation in a continuous nonlinear dynamics system without time delay.
Compared with H /H∞ frequency design method, the effectiveness of the proposed method is demonstrated by the numerical simulation with a vehicle lateral dynamics system.
Finally, the proposed ASAFNC system is applied to a second-order chaotic dynamics system.
We demonstrate the utility of this approach by applying it to a classical geophysical fluid dynamics system: the thermally driven rotating annulus.
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