Results 101 to 110 of about 166,810 (242)
Periodic orbits in outer billiard
It is shown that the set of 4-period orbits in outer billiard with piecewise smooth convex boundary has an empty interior, provided that no four corners of the boundary form a parallelogram.
Alexander Tumanov, Vadim Zharnitsky
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One critical case for the motion of a periodically excited oscillator with continuous and piecewise-linear restoring force is that the motion happens to graze a switching plane between two linear regions of the restoring force.
Haiyan Hu
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Errata: “A class of periodic orbits of an infinitesimal body subject to the attraction of 𝑛 finite bodies” [Trans. Amer. Math. Soc. 8 (1907), no. 2, 159–188; 1500780] [PDF]
W. R. Longley
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Errata in Professor Broton's paper "On a New Family of Periodic Orbits," etc [PDF]
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The treatment of periodic orbits by the methods of fixed point theory [PDF]
F. B. Fuller
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Research on a Ka‐band large‐orbit gyro‐TWT with periodic dielectric‐loaded structure
This paper presents a design of a gyro‐TWT operating in the large‐orbit electron beam mode, with the aim of reducing the working magnetic field while ensuring operational efficiency.
Yang Jintao +6 more
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Dynamical behaviour of a compound elastic pendulum
The aim of the paper is a comprehensive study of the compound elastic pendulum (CEP) with two degrees of freedom to point out the main complex (chaotic) dynamics that it can exhibit.
Nikolov Svetoslav, Zaharieva Daniela
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Screen chaotic motion by Shannon entropy in curved spacetimes
We find a novel characteristic for chaotic motion by introducing Shannon entropy for periodic orbits, quasiperiodic orbits, and chaotic orbits. We compare our approach with the previous methods including Poincaré section, Lyapunov exponent, fast Lyapunov
Wenfu Cao, Yang Huang, Hongsheng Zhang
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Semiclassical quantization of nonseparable systems: A new look at periodic orbit theory [PDF]
William H. Miller
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