Horseshoes chaos and its passive control in dissipative nonlinear chemical dynamics

Olabode D. L.; Miwadinou C. H.; Monwanou A. V; Orou J. B. Chabi

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Horseshoes chaos and its passive control in dissipative nonlinear chemical dynamics

机译：马蹄铁混乱及其在耗散非线性化学动力学中的被动控制

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This work deals with the passive control of horseshoes chaos in dissipative nonlinear chemical oscillations which concentration dynamics are governed by a forced modified Van der Pol-Duffing oscillator. We considered the dynamics of nonlinear chemical systems subjected to fluctuating hydrodynamic drag forces. The influences of the such parameter of the control force on the depth of asymmetric double well potential are analyzed. The Melnikov method is utilized to analytically determine the domains boundaries where horseshoes chaos appears in chemical oscillations. The effects of the constraint parameter beta and of the control parameters in the all directions of passive control force are analyzed. Results of analytical investigations are validated and complemented by numerical simulations for draw the fractal basin of attraction and the efficiency of the control force is discussed.

机译：这项工作涉及马蹄形混沌中的耗散非线性化学振荡的被动控制，该振荡浓缩动力学由强制改进的范德隆龙头振荡器管辖。我们考虑了经受波动流体动力阻力的非线性化学系统的动态。分析了控制力的这种参数对不对称双井电位深度的影响。 Melnikov方法用于分析确定马蹄形混沌中出现化学振荡的域界限。分析约束参数β和控制参数在无源控制力的所有方向上的影响。通过数值模拟验证分析研究的结果，讨论了吸引力的分形盆地，并讨论了控制力的效率。

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来源
《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2018年第8期|共12页
作者
Olabode D. L.; Miwadinou C. H.; Monwanou A. V; Orou J. B. Chabi;
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作者单位

Inst Math &

Sci Phys LMFDNMSB Porto Novo Benin;

Inst Math &

Sci Phys LMFDNMSB Porto Novo Benin;

Inst Math &

Sci Phys LMFDNMSB Porto Novo Benin;

Inst Math &

Sci Phys LMFDNMSB Porto Novo Benin;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
forced modified Van der Pol-Duffing oscillator; nonlinear dissipative chemical dynamics; passive control of horseshoes chaos; Melnikov's method; basin of attraction;

机译：强制改进的范德隆龙头振荡器;非线性耗散化学动态;马蹄铁混乱的被动控制;梅尔尼科夫的方法;吸引力盆地;

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专利

1. Horseshoes chaos and its passive control in dissipative nonlinear chemical dynamics [J] . Olabode D. L., Miwadinou C. H., Monwanou A. V, Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2018,第8期

机译：马蹄铁混乱及其在耗散非线性化学动力学中的被动控制
2. Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations [J] . Magnitskii N.A., Sidorov S.V. Computational mathematics and modeling . 2011,第4期

机译：非线性耗散微分方程系统动力混沌的通用理论。
3. Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations [J] . Nikolai A. Magnitskii Communications in Nonlinear Science and Numerical Simulation . 2008,第2期

机译：非线性耗散微分方程系统动力混沌的通用理论。
4. Dynamical analysis and chaos control of a driven system with one cubic nonlinearity: Numerical and experimental investigations [C] . Zhen Wang, Wei Sun, Zhouchao Wei International Conference on Nanotechnology Technology and Advanced Materials . 2012

机译：一种立方非线性驱动系统的动态分析与混沌控制：数值和实验研究
5. Control of rigid formations for agents with passive nonlinear dynamics [D] . Lan, Bradley Weichi. 2016

机译：具有被动非线性动力学的智能体的刚性结构控制
6. Chaos in high-dimensional dissipative dynamical systems [O] . Iaroslav Ispolatov, Vaibhav Madhok, Sebastian Allende, -1

机译：高维耗散动力系统中的混沌
7. Thermal diode and thermal transistor : Controlling heat flow through nonlinear dynamics(3) Chaos and nonlinear dynamics in dissipative systems(including BEC and pattern formations), Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems) [O] . Li Baowen, Casati Giulio 2005

机译：热敏二极管和热敏晶体管：通过非线性动力学控制热流（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

Horseshoes chaos and its passive control in dissipative nonlinear chemical dynamics

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