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Dissipative Phase Transition in Systems with Two-Photon Drive and Nonlinear Dissipation near the Critical Point. [PDF]
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Analytical Parameter Estimation of the SIR Epidemic Model. Applications to the COVID-19 Pandemic. [PDF]
Entropy (Basel), 2020 Prodanov D.
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From adaptive resolution to molecular dynamics of open systems. [PDF]
Eur Phys J B, 2021 Cortes-Huerto R +3 more
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Liouvillian first integrals of second order polynomial differential equations
Electronic Journal of Differential Equations, 1999 The author proves the following theorem: If the system \[ \dot x= P(x,y),\quad \dot y= Q(x,y)\quad (P,\;Q\text{ polynomials})\tag{1} \] has a Liouvillian integrating factor of the form: \[ \exp\{\int Udx+ Vdy\},\quad U_y= V_x,\tag{2} \] where \(U\), \(V\) are rational functions of \(x\) and \(y\), then there exists a Darbouxian integrating factor of ...
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One-component quantum mechanics and dynamical leakage-free paths. [PDF]
Sci Rep, 2022 Jing J, Wu LA.
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Liouvillian Integrability Versus Darboux Polynomials
Qualitative Theory of Dynamical Systems, 2016 J. Llibre, C. Valls, Xiang Zhang
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Optimal renormalization of multiscale systems. [PDF]
Proc Natl Acad Sci U S A, 2021 Price J, Meuris B, Shapiro M, Stinis P.
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Universal non-Markovianity detection in hybrid open quantum systems. [PDF]
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