finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. this paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. in mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...

In this paper, the new concept of non-autonomous iterated function system is introduced and also shown that non-autonomous iterated function system IFS(f_(1,∞)^0,f_(1,∞)^1) is topologically transitive for the metric space of X whenever the system has average shadowing property and its minimal points on X are dense. Moreover, such a system is topologically transitive, whenever, there is a point ...

there has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. the popular poincare-bendixon theorem applies well to the former but not the latter (see [2] and [3]). we give a necessary condition for the existence of periodic solutions for the third order autonomous systems, t...

In this paper we study Multiple periodic solutions for a class of non-autonomous and convex Hamiltonian systems and we investigate use some properties of Ekeland index.  

in this paper, an attempt has been made to introduce a new control strategy including plug-in hybrid electric vehicle (phev) and diesel engine generator to control the voltage and frequency of autonomous microgrids. the proposed control strategy has multiple advantages over the recent control methods in microgrids. the proposed method applies the primary and secondary frequency control strategy...

in this paper, an attempt has been made to introduce a new control strategy including plug-in hybrid electric vehicle (phev) and diesel engine generator to control the voltage and frequency of autonomous microgrids. the proposed control strategy has multiple advantages over the recent control methods in microgrids. the proposed method applies the primary and secondary frequency control strategy...

In this paper, to analyze the transport of autonomous robots, an artificial Capital market is used. Capital market is considered as a pier which loading and unloading of cargo is done. Autonomous robots load and unload from the ship to the warehouse wharf or vice versa. All the robots have the ability of transporting the loads, but depending on loads and the location of unloading (or loading) a...