We study the effects of IID random perturbations of amplitude $\epsilon> 0$ on the
asymptotic dynamics of one-parameter families $\{f_a: S^ 1\to S^ 1, a\in [0, 1]\} $ of smooth …

We study the effects of independent, identically distributed random perturbations of
amplitude"> 0 on the asymptotic dynamics of one-parameter families ¹faW S1! S1; a 2 Œ0; 1 …

In this paper, a novel Pseudo Random Number Generator (PRNG) is introduced as an
application of computing discrete time dynamical systems at finite resolution in chaos-based …

In this paper, we demonstrate the current limitations of quantifying chaos using floating-point
numbers at finite time. Alternatively, we introduce a stable method for quantifying chaos of a …

Cyber physical systems CPSs embodies the conception as well as the implementation of the
integration of the state-of-art technologies in sensing, communication, computing, and …

In this thesis, a computational framework for studying discrete time dynamical systems is
introduced. This framework can be used to prove the existence of certain behavior in a given …