Add to ORKGQuintuple pendulums are an extension of the chaotic double, triple and Quatertuple pendulums problems. In this paper, a planar compound quintuple pendulum was modelled with viscous damping forces. Using Lagrangian energy methods, we derive coupled ordinary differential equations of motion for the system and submit them to analytical manipulation to model the dynamics of the system. We obtain the simulated results. The inclusion of damping in the system has significant effect on the dynamics, highlighting the system's chaotic natur
Abstract. The pendulum-spring system was studied by using Hamilton equations of motion. The total Ha...
It is shown, by a first-order perturbation expansion, that the dimensionality of the dynamical equat...
Chaotic systems are strange. They are not periodic or convergent. One well-known chaotic system is t...
We study a version of the two-degree-of-freedom double pendulum in which the two point masses are re...
The fusion of two pendulums give rise to a simple mechanical system that on contrary to its deceptiv...
M.Sc. (Applied Mathematics)Abstract: Amongst the very interesting, exciting and beautiful topics in ...
AbstractWe report on the first steps made towards the computational proof of the chaotic behaviour o...
Agraïments: The author is supported by a FAPESP-BRAZlL grant 2012/10231-7Using the damped pendulum m...
We consider the effect of horizontally shaking the pivot point of a damped pendulum. While similar ...
Numerical simulations have shown that a parametrically damped, but otherwise undriven pendulum posse...
By the use of intervalmethods it is proven that there exists an unstable periodic solution to the da...
The string pendulum consists of a mass attached to the end of an inextensible string which is fasten...
Analysis of a 3D spatial double physical pendulum system, coupled by two universal joints is perfor...
The single, double, and triple pendulum has served as an illustrative experimental benchmark system ...
This thesis involves the analysis of four classes of nonlinear oscillators. We investigate a damped ...
Abstract. The pendulum-spring system was studied by using Hamilton equations of motion. The total Ha...
It is shown, by a first-order perturbation expansion, that the dimensionality of the dynamical equat...
Chaotic systems are strange. They are not periodic or convergent. One well-known chaotic system is t...
We study a version of the two-degree-of-freedom double pendulum in which the two point masses are re...
The fusion of two pendulums give rise to a simple mechanical system that on contrary to its deceptiv...
M.Sc. (Applied Mathematics)Abstract: Amongst the very interesting, exciting and beautiful topics in ...
AbstractWe report on the first steps made towards the computational proof of the chaotic behaviour o...
Agraïments: The author is supported by a FAPESP-BRAZlL grant 2012/10231-7Using the damped pendulum m...
We consider the effect of horizontally shaking the pivot point of a damped pendulum. While similar ...
Numerical simulations have shown that a parametrically damped, but otherwise undriven pendulum posse...
By the use of intervalmethods it is proven that there exists an unstable periodic solution to the da...
The string pendulum consists of a mass attached to the end of an inextensible string which is fasten...
Analysis of a 3D spatial double physical pendulum system, coupled by two universal joints is perfor...
The single, double, and triple pendulum has served as an illustrative experimental benchmark system ...
This thesis involves the analysis of four classes of nonlinear oscillators. We investigate a damped ...
Abstract. The pendulum-spring system was studied by using Hamilton equations of motion. The total Ha...
It is shown, by a first-order perturbation expansion, that the dimensionality of the dynamical equat...
Chaotic systems are strange. They are not periodic or convergent. One well-known chaotic system is t...