Calculation and Behavior of Lyapunov’s Exponents for Incommensurate Superstructure Described by Two-Components Parameter of Order

机译：用阶跃两分量参数描述不对称上层建筑的李雅普诺夫指数的计算和行为

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Two methods BDF and RK45 are used for Lyapunov’s exponents calculation. The incommensurate superstructure is described by two-components parameter of order. The Chaotic state arising in this system is caused by the interaction between different spatial regions of correlated motion of tetrahedral groups.

机译：Lyapunov的指数计算使用两种方法BDF和RK45。不规则的上层建筑由有序的两部分参数描述。在该系统中出现的混沌状态是由四面体组相关运动的不同空间区域之间的相互作用引起的。

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《International Conference on Advanced Computer Information Technologies》|2020年|200-203|共4页
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Sergiy Sveleba; Ivan Katerynchuk; Ivan Karpa; Ivan Kunyo; Volodymyr Rak; Oleksandr Yashchyk;
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Information technology; Differential equations; Libraries; Standards; Arrays; Modulation; Sorting;

机译：信息技术;微分方程;库;标准;数组;调制;分类;

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1. Effect of parameter calculation in direct estimation of the Lyapunov exponent in short time series [J] . A. M. LópezJiménez, C. Camacho MartínezVara de Rey, A. R. GarcíaTorres Discrete dynamics in nature and society . 2002,第1期

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2. Synchronization - like behaviors of dynamical systems with non negative Lyapunov exponents [J] . M. K. Meher, G. C. Panda, S. K. Sahu Applied mathematical sciences . 2012,第21a24期

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3. Lyapunov Exponents and Moment Lyapunov Exponents of a Two-Dimensional Near-Nilpotent System [J] . W.-C. Xie Journal of Applied Mechanics: Transactions of the ASME . 2001,第3期

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4. Calculation of Fourier Spectra of Amplitude Function of Incommensurate Superstructure Described by Two Components Parameter of Order (N=4) [C] . Serhiy Sveleba, Ivan Katerynchuk, Ivan Kuno, International Conference on Electronics and Information Technologies . 2021

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5. Standardizing the Calculation of the Lyapunov Exponent for Human Gait Using Inertial Measurement Units [D] . Smith, Victoria Ann. 2019

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6. A Novel Measure Inspired by Lyapunov Exponents for the Characterization of Dynamics in State-Transition Networks [O] . Bulcsú Sándor, Bence Schneider, Zsolt I. Lázár, 2021

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7. Effect of parameter calculation in direct estimation of the Lyapunov exponent in short time series [O] . López Jiménez, Ana María, García Torres, Antonio Ramón, Camacho Martínez Vara de Rey, Carlos 2002

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8. Lyapunov Exponent Calculations as Independent Indices of Complexity of Cardiovascular Regulation During Hemorrhage with Autonomic Blockade. [R] . Ward, J., Baker, W., Walker III, K., 2011

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Calculation and Behavior of Lyapunov’s Exponents for Incommensurate Superstructure Described by Two-Components Parameter of Order

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