Asymptotic behavior of vector recurrences with applications

Asymptotic Distribution of Divergence Measure with Applications

construction of vector fields with positive lyapunov exponents

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Linear Vector Recurrences

General solution methods for linear vector recurrences are considered; an algorithm based on partial fraction expansion is shown to be the most efficient way of solving this problem.

Asymptotic Behavior of Comparable Skew-product Semiflows with Applications

The (almost) 1-cover lifting property of omega-limit sets is established for nonmonotone skew-product semiflows, which are comparable to uniformly stable eventually strongly monotone skew-product semiflows. These results are then applied to study the asymptotic behavior of solutions to the nonmonotone comparable systems of ODEs, reaction-diffusion systems, differential systems with time delays ...