Nonlinear Phenomena in Complex Systems, 2008, Vol.11, No.2, pp.285-291

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2008, Vol.11, No.2, pp.285-291

Stochastic Optimization for Detecting Periodic Orbits of Nonlinear Mappings.
Y. G. Petalas, K. E. Parsopoulos, and M. N. Vrahatis

The detection of periodic orbits bears significance for the study of nonlinear mappings, since they can reveal crucial information on their dynamics. Recently, population-based stochastic optimization algorithms were introduced to address problems where traditional gradient-based approaches failed. The efficiency of these approaches in applications, triggered further research towards the development of more efficient variants. This work presents the principal concepts of applying concurrent stochastic population-based approaches for the detection of periodic orbits, and also reports new results attained by the application of Memetic Algorithms on well-known chaotic maps for periodic orbits with high period.
Key words: nonlinear mapping, periodic orbits, stochastic optimization

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