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A double pendulum consists of two pendulums attached end to end.. In physics and mathematics, in the area of dynamical systems, a double pendulum, also known as a chaotic pendulum, is a pendulum with another pendulum attached to its end, forming a simple physical system that exhibits rich dynamic behavior with a strong sensitivity to initial conditions. [1]
In contrast to single type chaotic solutions, recent studies using Lorenz models [41] [42] have emphasized the importance of considering various types of solutions. For example, coexisting chaotic and non-chaotic may appear within the same model (e.g., the double pendulum system) using the same modeling configurations but different initial ...
The system indeed appears to exhibit a great dependence on initial conditions, a defining property of chaotic systems; moreover, two attractors of the system are seen in both plots. The Malkus waterwheel , also referred to as the Lorenz waterwheel or chaotic waterwheel , [ 1 ] is a mechanical model that exhibits chaotic dynamics.
A particle moving inside the Bunimovich stadium, a well-known chaotic billiard. See the Software section for making such an animation. A dynamical billiard is a dynamical system in which a particle alternates between free motion (typically as a straight line) and specular reflections from a boundary.
While an optimally packed fractal appears only for a defined value of r, i.e., r opt, it is possible to play the chaos game using other values as well.If r>1 (the point x k+1 jumps at a greater distance than the distance between the point x k and the vertex v), the generated figure extends outside the initial polygon. [5]
Endgame: Singularity is a free and open source science fiction strategy/simulation game for Linux, Microsoft Windows, and Mac OS X. It was first released in 2005, with version 1.00 released in 2020. It was first released in 2005, with version 1.00 released in 2020.
A criminal named Scrubby has escaped. He was imprisoned for trying to steal the Magic Pendulum, which brings toys to life. Relik, a cuckoo clock, guards the pendulum. Scrubby appears suddenly and steals the pendulum. A hero named Inguz is called upon to recover the pendulum before the toys' magical world disappears.
The Duffing equation is an example of a dynamical system that exhibits chaotic behavior. Moreover, the Duffing system presents in the frequency response the jump resonance phenomenon that is a sort of frequency hysteresis behaviour.