论文标题
用于五重戴式公式的非扰动系统中的混乱分析
Chaos analysis in the un-perturbed system for Quintic Duffing equation
论文作者
论文摘要
在本文中,我们研究了驱动的立方Quintic Duff方程。使用Melnikov分析技术,我们能够预测平衡周围的极限周期的数量,并在阻尼驱动的系统中开发理论方法来抑制混乱的抑制作用。已经研究了研究系统的限制周期的分析解决方案和分歧。我们讨论了我们的非线性动力学,即,在没有噪声的情况下,我们的非线性动力学,即在没有噪声的情况下将其讨论,并且在未来的研究中存在噪音,并研究了该系统的吉尔顿(未透露案例)。
In this paper we have investigated the driven cubic-quintic Duffing equation. Using the Melnikov analysis technique, we are able to predict the number of limit cycles around the equilibrium and to develop a theoretical approach to chaos suppression in damped driven systems. The analytical solution and the bifurcation of limit cycles of the investigated system have been studied., We discussed our nonlinear dynamics, namely, the cubic quintic Duffing equation in the absence of noise and we may discusse it in the presence of noise in the futur research, investigating for the Hamiltonian of the system (not perturbed) in both cases is presented.