Hybrid Dynamical Systems (HDS), also named Hybrid Systems, is constituted by Continuous Variable Dynamical Systems (CVDS) and Discrete Event Dynamical Systems (DEDS). Because most systems are not pure continuous and computers are used widely in practice, the running models of all control systems have changed.
The problem of equilibrium of non-linear dynamic system for microorganism in continuous culture is considered in this paper.
A class of Beddington-DeAngelis' type predator-prey dynamic system with prey and predator both having linear density restriction is considered.
Modeling of the linear dynamic system is considered.
Decomposition of a system, i.e., representation of a system as a set of subsystems of lesser dimension, for a multivariate dynamic system described by a nonlinear Ito stochastic differential equation is investigated.
A question is examined as to estimates of the norms of perturbations of a linear stable dynamic system, under which the perturbed system remains stable in a situation where a perturbation has a fixed structure.
In this article we investigate the asymptotic behavior of and using the dynamical system techniques: the pressure function and the variational principle.
Steady states of the dynamical system representing fishery are derived and their local, as well as global, stability is discussed.
A two-dimensional dynamical system is obtained by solving the utility maximization problem and it is proved that this system has the unique non-zero equilibrium which is a saddle.
Positive equilibrium and its stability of the Beddington-DeAngelis'type predator-prey dynamical system
By using the discrete dynamical system determined by the stroboscopic map and Floquet theorem, an exact periodic solution with positive concentrations of substrate and predator in the absence of prey is obtained.