Macau Elbert E N, Grebogi Celso
Laboratório Associado de Matemática Aplicada e Computação (LAC), Instituto Nacional de Pesquisas Espaciais (INPE), 12227-010 São José dos Campos, São Paulo, Brazil.
Philos Trans A Math Phys Eng Sci. 2006 Sep 15;364(1846):2463-81. doi: 10.1098/rsta.2006.1835.
In 1990, a seminal work named controlling chaos showed that not only the chaotic evolution could be controlled, but also the complexity inherent in the chaotic dynamics could be exploited to provide a unique level of flexibility and efficiency in technological uses of this phenomenon. Control of chaos is also making substantial contribution in the field of astrodynamics, especially related to the exciting issue of low-energy transfer. The purpose of this work is to bring up the main ideas regarding the control of chaos and targeting, and to show how these techniques can be extended to Hamiltonian situations. We give realistic examples related to astrodynamics problems, in which these techniques are unique in terms of efficiency related to low-energy spacecraft transfer and in-orbit stabilization.
1990年，一部名为《控制混沌》的开创性著作表明，不仅混沌演化可以被控制，而且混沌动力学中固有的复杂性可以被利用，从而在该现象的技术应用中提供独特的灵活性和效率水平。混沌控制在天体动力学领域也做出了重大贡献，特别是与低能量转移这一令人兴奋的问题相关。这项工作的目的是提出关于混沌控制和目标定位的主要思想，并展示这些技术如何能够扩展到哈密顿情形。我们给出与天体动力学问题相关的实际例子，在这些例子中，就与低能量航天器转移和轨道稳定相关的效率而言，这些技术是独一无二的。
