منابع مشابه
Chaos in a double pendulum
A novel demonstration of chaos in the double pendulum is discussed. Experiments to evaluate the sensitive dependence on initial conditions of the motion of the double pendulum are described. For typical initial conditions, the proposed experiment exhibits a growth of uncertainties which is exponential with exponent A = 7.5 ± 1.5 s• Numerical simulations performed on an idealized model give good...
متن کاملChaos of the Double Pendulum
We characterized the chaotic motion of a damped physical double pendulum which has not been achieved previously. The results consist of scattered phase plots, fractal Poincaré sections, and positive Lyapunov exponents.
متن کاملExperimental control of high-dimensional chaos: The driven double pendulum.
Chaos control techniques exploit the sensitivity of chaos to initial conditions by applying feedback perturbations to an accessible system parameter. Most methods apply only one perturbation per period and are thus susceptible to control failure when applied to highly unstable systems. Here we extend a recently developed model-independent, quasicontinuous chaos control technique to stabilize a ...
متن کاملDouble Pendulum
The double pendulum is a classic dynamical system, capable of chaotic behavior in a four-dimensional phase space. The driven case introduces even more peculiar behaviors and opens the possibility for stable folded modes. In this paper, we explore the double pendulum in both driven and undriven cases through experimental observation and simulations, focusing on time-to-flip as a major measure of...
متن کاملRotational Double Inverted Pendulum
ROTATIONAL DOUBLE INVERTED PENDULUM Name: Li, Bo University of Dayton Advisor: Dr. Raúl Ordóñez The thesis deals with the stabilization control of the Rotational Double Inverted Pendulum (RDIP) System. The RDIP is an extremely nonlinear, unstable, underactuated system of high order. A mathematical model is built for the RDIP with the Euler-Lagrange (E-L) equation. A Linear Quadratic Regulator (...
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ژورنال
عنوان ژورنال: American Journal of Physics
سال: 1992
ISSN: 0002-9505,1943-2909
DOI: 10.1119/1.16860