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nlin.CD2024★ 1 cited
The Structure of the Route to the Period-three Orbit in the Collatz Map
Weicheng Fu, Yisen Wang
This study analyzes the Collatz map through nonlinear dynamics. By embedding integers in Sharkovsky's ordering, we show that odd initial values suffice for full dynamical character…
cond-mat.stat-mech2024
-Breathers in the diatomic -Fermi-Pasta-Ulam- Tsingou chains
Lin Deng, Hang Yu, Zhigang Zhu +3
-Breathers (QBs) represent a quintessential phenomenon of energy localization, manifesting as stable periodic orbits exponentially localized in normal mode space. Their existenc…