Amazon.com: Non-Linear Time Series: A Dynamical System Approach Oxford Statistical Science Series, 6 9780198523000: Howell Tong: Books.nonlinear time series model from a nonlinear stochastic dynamical system. Only the approach of Smith 1977 based on piecewise linear.Time series analysis for nonlinear dynamical systems with applications to. Vides a computationally viable alternative to a state-o...

in this paper, we introduce a new hyperchaotic complex t-system. this system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. we discuss the synchronization with certain and uncerta...

this paper investigates on control and stabilization of a new hyperchaotic system. the hyperchaotic system is stabilized using a new technique which called generalized backstepping method (gbm). because of its similarity to backstepping approach, this method is called gbm. but, this method is more applicable in comparison with conventional backstepping.  backstepping method is used only for sys...

In this paper, the nonlinear dynamical behavior of an isotropic rectangular plate, simply supported on all edges under influence of a moving mass and as well as an equivalent concentrated force is studied. The governing nonlinear coupled PDEs of motion are derived by energy method using Hamilton’s principle based on the large deflection theory in conjuncture with the von-Karman strain-displacem...

in the present paper, we develop a modified pseudospectral scheme for solving an optimal control problem which is governed by a switched dynamical system. many real-world processes such as chemical processes, automotive systems and manufacturing processes can be modeled as such systems. for this purpose, we replace the problem with an alternative optimal control problem in which the switching t...

in this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. it is shown that it generates the kolmogorov entropy as a special case. if $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

This paper deals with a normal form of a class of nonlinear dynamical systems. This form enables us to design a reduced-order observer for a class of nonlinear dynamical system. Necessary and sufficient geometrical conditions for the existence of a coordinate change to transform a given singular dynamical system into such normal form are also given.