84 citations · 1.3k across the 190 of their papers we have counts for
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The Hurst exponents of Nitzschia sp. diatom trajectories observed by light microscopy
J. S. Murguia, H. C. Rosu, A. Jimenez +2
We present the results of an experiment with light microscopy performed to capture the trajectories of live Nitzschia sp. diatoms. The time series corresponding to the motility of…
Ermakov Systems with Multiplicative Noise
E. Cervantes-Lopez, P. B. Espinoza, A. Gallegos +1
Using the Euler-Maruyama numerical method, we present calculations of the Ermakov-Lewis invariant and the dynamic, geometric, and total phases for several cases of stochastic param…
Existence of periodic orbits in nonlinear oscillators of Emden-Fowler form
S. C. Mancas, H. C. Rosu
The nonlinear pseudo-oscillator recently tackled by Gadella and Lara is mapped to an Emden-Fowler (EF) equation that is written as an autonomous two-dimensional ODE system for whic…
Barotropic FRW cosmologies with Chiellini damping
Haret C. Rosu, Stefan C. Mancas, Pisin Chen
It is known that barotropic FRW equations written in the conformal time variable can be reduced to simple linear equations for an exponential function involving the conformal Hubbl…
One-parameter supersymmetric Hamiltonians in momentum space
Haret C. Rosu, Stefan C. Mancas, Pisin Chen
Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201; arXiv:1311.6147v2) are presen…
Ermakov-Lewis Invariants and Reid Systems
Stefan C Mancas, Haret C Rosu
Reid's m'th-order generalized Ermakov systems of nonlinear coupling constant alpha are equivalent to an integrable Emden-Fowler equation. The standard Ermakov-Lewis invariant is di…