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math.GM2022
Chaos Analysis in the Hybrid Quintic Duffing-Riemann Zeta System via Decomposition
Zeraoulia Rafik, Pedro Caceres
This paper presents a comprehensive analysis of the driven cubic-quintic Duffing oscillator \[ \ddotϕ+\frac{1}{q}\dotϕ+ϕ^3+ϕ^5=A\cos(ωt), \] advancing both analytical and numerical…
math.GM2022
Iterating sum of power divisor function and New equivalence to the Riemann hypothesis
Pedro Caceres, Zeraoulia Rafik
This paper investigates the dynamics of the iterated sum-of-divisors function and its behaviour modulo , motivated by classical questions on perfect and multiperfect nu…