The double pendulum is a classic example of a physical system which can display chaotic behavior. In this study we investigate the motion of a double pendulum through a numerical simulation as well as data taken directly from the pendulum during its motion. We attempt to compute the Lyapunov exponent for our system using some methods of nonlinear time series analysis on the data taken from the pendulum. We compare the Lyapunov exponent measured from the experiment to the one measured from the numerical simulations
International audienceLyapunov exponents are among the most relevant and most informative invariants...
We propose a novel method of symbolic time-series analysis aimed at characterizing the regular or ch...
International audienceWe analyse the double pendulum system numerically, using a modified mid point ...
The double pendulum is a classic example of a physical system which can display chaotic behavior. In...
International audienceA novel demonstration of chaos in the double pendulum is discussed. Experiment...
M.Sc. (Applied Mathematics)Abstract: Amongst the very interesting, exciting and beautiful topics in ...
This thesis deals with the presentation of basic knowledge regarding chaos theory. There are mention...
This researchwasmotivated by a real technological problem of vibrations of bodies hanging on chains ...
The fusion of two pendulums give rise to a simple mechanical system that on contrary to its deceptiv...
It is the aim of this paper to further the study of the chaotic behaviour of a harmonically excited ...
7 pages, 6 figures.-- PACS nrs.: 05.45.+b, 03.20.+i.MR#: MR1145312 (92j:70028)The chaotic motion of ...
In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify s...
Chaotic systems are strange. They are not periodic or convergent. One well-known chaotic system is t...
Abstract: In this paper we study the meaning and importance of Lyapunov exponents through methods of...
Many components of machines and other technological devices (chains and bodies hanging on the ropes)...
International audienceLyapunov exponents are among the most relevant and most informative invariants...
We propose a novel method of symbolic time-series analysis aimed at characterizing the regular or ch...
International audienceWe analyse the double pendulum system numerically, using a modified mid point ...
The double pendulum is a classic example of a physical system which can display chaotic behavior. In...
International audienceA novel demonstration of chaos in the double pendulum is discussed. Experiment...
M.Sc. (Applied Mathematics)Abstract: Amongst the very interesting, exciting and beautiful topics in ...
This thesis deals with the presentation of basic knowledge regarding chaos theory. There are mention...
This researchwasmotivated by a real technological problem of vibrations of bodies hanging on chains ...
The fusion of two pendulums give rise to a simple mechanical system that on contrary to its deceptiv...
It is the aim of this paper to further the study of the chaotic behaviour of a harmonically excited ...
7 pages, 6 figures.-- PACS nrs.: 05.45.+b, 03.20.+i.MR#: MR1145312 (92j:70028)The chaotic motion of ...
In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify s...
Chaotic systems are strange. They are not periodic or convergent. One well-known chaotic system is t...
Abstract: In this paper we study the meaning and importance of Lyapunov exponents through methods of...
Many components of machines and other technological devices (chains and bodies hanging on the ropes)...
International audienceLyapunov exponents are among the most relevant and most informative invariants...
We propose a novel method of symbolic time-series analysis aimed at characterizing the regular or ch...
International audienceWe analyse the double pendulum system numerically, using a modified mid point ...