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nlin.CD2026
Trigonometric Nosé--Hoover oscillator: chaos, periodic orbits and integrability
Wojciech Szumiński, Jaume Llibre
We introduce a trigonometric version of the Nosé-Hoover oscillator in which the quadratic mechanical terms and unbounded thermostat coupling are replaced by bounded trigonometric f…
nlin.CD2026
Dynamics, periodic orbits and non-integrability of the ABC flow
Wojciech Szumiński, Jaume Llibre
We study the Arnold-Beltrami-Childress (ABC) flow in perturbative regimes near its three elementary integrable coordinate axes. Starting from a degenerate family of periodic stream…