Exploring sensitive dependence and transitivity to optimize travel time in chaotic systems

16th Brazilian Colloquium on Orbital Dynamics

Santana, S.H.S.^1 ; Macau, E.E.N.^1 ; Winter, O.C.^2 ; França, L.F.A.^1

Instituto Nacional de Pesquisas Espaciais-INPE, Avenida dos Astronautas, 1758, CEP 12227-010, São José dos Campos, SP, Brazil^1

Universidade Estadual Paulista-UNESP, Grupo de Dinâmica Orbital e Planetologia, Avenida Ariberto Pereira da Cunha, 333, CEP 12516-410, Guaratinguetá, SP, Brazil^2

关键词: Chaotic behaviors;    Controlled perturbation;    External optimizations;    Geometric approaches;    Implementation complexity;    Initial conditions;    Short time intervals;    Start point;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/465/1/012018/pdf
DOI  :  10.1088/1742-6596/465/1/012018

来源: IOP

【 摘 要 】

Transitivity and sensitive dependence on initial conditions are the main characteristics of chaotic behavior. The latter one can be exploited so that small controlled perturbations in system parameters may imply a faster transfer in time from a desired start point to a neighborhood of a desired final state. In this study three targeting approaches are evaluated: The first one uses a geometric approach to find the proper perturbation which allows a faster transfer between two desired points; The second, an evolutionary algorithm called GEO (Generalized External Optimization), is adapted to search for optimized orbits; The third one, uses successive perturbations along the path in order to direct the orbits to the final desired point in a short time interval. These three methods are evaluated regarding performance and implementation complexity.