Drift-free left invariant control system on with fewer controls than state variables.
Drive network to a desired orbit by pinning control
The primary objective of the present paper is to develop an approach for analyzing pinning synchronization stability in a complex delayed dynamical network with directed coupling. Some simple yet generic criteria for pinning such coupled network are derived analytically. Compared with some existing works, the primary contribution is that the synchronization manifold could be chosen as a weighted average of all the nodes states in the network for the sake of practical control tactics, which displays...
Du facteur intégrant pour les expressions différentielles du premier ordre renfermant un nombre quelconque de variables indépendantes
Dual finite element analysis for some unilateral boundary value problems
Duality mapping and the existence of periodic solutions for non-autonomous second order systems.
Duality methods in the theory of optimal control
Dynamic analysis of an impulsive differential equation with time-varying delays
An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results.
Dynamic analysis of an impulsively controlled predator-prey system.
Dynamic bifurcation diagrams for some models in economics and biology.
Dynamic systems described by differential equations with singularities of the type and their machine solving
Dynamic systems with the nonzero initial conditions excited by the Dirac function
Dynamical analysis of a delayed predator-prey system with birth pulse and impulsive harvesting at different moments.
Dynamical analysis of a demand governed market.
Dynamical analysis of an interleaved single inductor TITO switching regulator.
Dynamical behavior of Volterra model with mutual interference concerning IPM
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
Dynamical behavior of Volterra model with mutual interference concerning IPM
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
Dynamical studies of equations from the Gambier family.
Dynamical systems modelled by third order differential equations with special respect to the influence of the restoring term on the properties of solutions
Dynamical systems with newtonian type potentials
Dynamical systems with several equilibria and natural Liapunov functions
Dynamical systems with several equilibria occur in various fields of science and engineering: electrical machines, chemical reactions, economics, biology, neural networks. As pointed out by many researchers, good results on qualitative behaviour of such systems may be obtained if a Liapunov function is available. Fortunately for almost all systems cited above the Liapunov function is associated in a natural way as an energy of a certain kind and it is at least nonincreasing along systems solutions....