Transactions of the American Mathematical Society, Vol. 365, No. 10 (OCTOBER 2013), pp. 5329-5365 (37 pages) This series of papers is concerned with principal Lyapunov exponents and principal Floquet ...

Imagine a garden filled with every variety of flower in the world — delicate orchids, towering sunflowers, the waxy blossoms of the saguaro cactus and the corpse flower’s putrid eruptions. Now imagine ...

Dynamical systems and ergodic theory constitute a vibrant area of mathematical research that encompasses the study of systems evolving over time, whether these systems originate from physical ...

Problems of complex behavior of random dynamical systems are investigated based on numerically observed noise-induced phenomena in Belousov-Zhabotinsky map (BZ map) and modified Lasota-Mackey map with ...

ABSTRACT Reliability is an important engineering requirement for consistently delivering acceptable product performance through time. As time progresses, the product may fail due to time-dependent ...