Abstract: Dynamical systems governed by discrete time-difference equations are referred to as point mapping dynamical systems in this paper. Based upon the Poincaré theory of index for vector fields, a ...

Abstract: The method of point-to-point mappings has been receiving increasing attention in recent years. In this paper we discuss instead dynamical systems governed by cell-to-cell mappings. The justifications ...

Abstract: A dynamical system having multiple degrees of freedom and under parametric excitation is governed by a system of ordinary differential equations with periodic coefficients. In this paper a ...

Abstract: This paper is concerned with the generalization of Poincaré’s theory of index to systems of order higher than two. The basic tool used in the generalization is the concept of the degree of ...

Abstract: The simple theory of cell mapping and the associated algorithm presented in [1, 2] have been found to form a very effective tool for the global analysis of nonlinear systems. In this paper ...

Abstract: A detailed finite element analysis has been conducted of the thin-walled torsion specimen. This specimen, when properly gripped, provides an approximation to the simple shear deformation field. ...

Abstract: Two surface plasticity models have been used increasingly in recent years to model not only uniaxial, cyclic plasticity but also multiaxial and nonproportional histories. A two surface model is ...

Abstract: Given in this paper is the development of a theory for dynamical systems subjected to periodic impulsive parametric excitations. By periodic impulsive parametric excitation we mean those excitations ...