Dynamical Chaos in Two-Dimensional Nonlinear Nonautonomous Systems of Ordinary Differential Equations

N. A. Magnitskii; S. V. Sidorov

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Dynamical Chaos in Two-Dimensional Nonlinear Nonautonomous Systems of Ordinary Differential Equations

机译：二维非线性非自治常微分方程系统的动态混沌

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摘要

The modern classical concept of dynamical chaos in nonlinear dissipative systems of differential equations has the following Imsie features [1-10].

机译：非线性耗散微分方程系统中的动态混沌的现代经典概念具有以下Imsie特征[1-10]。

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《Differential equations: A translation of differensial'nye uraveniya》 |2006年第11期|共8页
作者
N. A. Magnitskii; S. V. Sidorov;
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正文语种 eng
中图分类微分方程、积分方程;
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1. Dynamical Chaos in Two-Dimensional Nonlinear Nonautonomous Systems of Ordinary Differential Equations [J] . N. A. Magnitskii, S. V. Sidorov Differential equations: A translation of differensial'nye uraveniya . 2006,第11期

机译：二维非线性非自治常微分方程系统的动态混沌
2. Algorithm for the numerical proof of the existence of periodic trajectories in two-dimensional nonautonomous systems of ordinary differential equations [J] . Golitsyn D.L., Ryabkov O.I., Burov D.A. Differential equations: A translation of differensial'nye uraveniya . 2013,第2期

机译：二维非自治常微分方程组中周期性轨迹存在的数值证明算法
3. On Universality of Transition to Chaos Scenario in Nonlinear Systems of Ordinary Differential Equations of Shilnikov’s Type [J] . Maria Zaitseva Journal of Applied Mathematics and Physics . 2016,第5期

机译：Shilnikov型常微分方程非线性系统向混沌场景过渡的普遍性
4. On the stability and instability of a class of nonlinear nonautonomous ordinary differential equations [C] . De la Sen, M. . 2001

机译：一类非线性非自治常微分方程的稳定性和不稳定性
5. Applications of Nonlinear Systems of Ordinary Differential Equations and Volterra Integral Equations to Infectious Disease Epidemiology. [D] . Morale Butler, Emmanuel J. 2014

机译：常微分方程和Volterra积分方程的非线性系统在传染病流行病学中的应用。
6. Contribution to Speeding-Up the Solving of Nonlinear Ordinary Differential Equations on Parallel/Multi-Core Platforms for Sensing Systems [O] . Vahid Tavakkoli, Kabeh Mohsenzadegan, Jean Chamberlain Chedjou, 2020

机译：用于加速对照对传感系统并行/多核平台的非线性常微分方程的贡献
7. Nonlinear effects of the time dependent Gross-Pitaevskii equation in the potential scattering problem(3) Chaos and nonlinear dynamics in dissipative systems(including BEC and pattern formations), Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems) [O] . FUJISHIMA Hironobu, MINE Makoto, OKUMURA Masahiko 2005

机译：时间相关的Gross-Pitaevskii方程在潜在散射问题中的非线性影响（3）耗散系统（包括BEC和图案形成）中的混沌和非线性动力学，量子力学和宏观系统中的混沌和非线性动力学

Dynamical Chaos in Two-Dimensional Nonlinear Nonautonomous Systems of Ordinary Differential Equations

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