Reconstruction of driving forces through recurrence plots
Reconstruction of driving forces through recurrence plots
复制标题
DOI：
10.1016/j.physleta.2009.03.069
复制
发表时间：
2009-05-25
影响因子：
2.6
通讯作者：
Suzuki, Hideyuki
中科院分区：
文献类型：
--
作者：
Tanio, Masaaki;Hirata, Yoshito;Suzuki, Hideyuki
我们仅考虑从驱动系统的观察中重建一维驱动力的问题。我们扩展了一篇开创性论文中提出的方法 [M.C. Casdagli, Physica D 108 (1997) 12]并提出了一种稳健且具有更广泛适用性的方法。通过重新解释蒂尔等人的工作。 [M。蒂尔，M.C.罗马诺，J.库尔斯，物理学家。莱特。 A 330 (2004) 343]，我们将重构问题表述为组合优化问题，并通过假设驱动力是连续的来放松条件。该方法通过使用外力驱动的帐篷图进行演示。 (C) 2009 Elsevier B.V. 保留所有权利。
We consider the problem of reconstructing one-dimensional driving forces only from the observations of driven systems. We extend the approach presented in a seminal paper [M.C. Casdagli, Physica D 108 (1997) 12] and propose a method that is robust and has wider applicability. By reinterpreting the work of Thiel et al. [M. Thiel, M.C. Romano, J. Kurths, Phys. Lett. A 330 (2004) 343], we formulate the reconstruction problem as a combinatorial optimization problem and relax conditions by assuming that a driving force is continuous. The method is demonstrated by using a tent map driven by an external force. (C) 2009 Elsevier B.V. All rights reserved.