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Fluctuation Relations Associated to an Arbitrary Bijection in Path Space. [PDF]
Chétrite R, Marcantoni S.
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Multi-scale Jones polynomial and persistent Jones polynomial for knot data analysis. [PDF]
Song R, Li F, Wu J, Lei F, Wei GW.
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Number of Limit Cycles for Planar Systems with Invariant Algebraic Curves
Qualitative Theory of Dynamical Systems, 2022For planar polynomials systems the existence of an invariant algebraic curve limits the number of limit cycles not contained in this curve. We present a general approach to prove non-existence of periodic orbits not contained in this given algebraic ...
A. Gasull, H. Giacomini
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Limit cycles and invariant algebraic curves
Communications on Pure and Applied AnalysisWe give lower bounds in terms of~$n,$ for the number of limit cycles of polynomial vector fields of degree~$n,$ having any prescribed invariant algebraic curve. By applying them when the ovals of this curve are also algebraic limit cycles we obtain a new
A. Gasull, Paulo Santana
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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
The Riccati polynomial differential systems are differential systems of the form [Formula: see text], [Formula: see text], where [Formula: see text] and [Formula: see text] for [Formula: see text] are polynomial functions. We characterize all the Riccati
Jaume Giné, J. Llibre
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The Riccati polynomial differential systems are differential systems of the form [Formula: see text], [Formula: see text], where [Formula: see text] and [Formula: see text] for [Formula: see text] are polynomial functions. We characterize all the Riccati
Jaume Giné, J. Llibre
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Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve
, 2018J. Llibre, C. Valls
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A reflective, metal-rich atmosphere for GJ 1214b from its JWST phase curve
Nature, 2023Eliza M-R Kempton +2 more
exaly
Liénard systems for quadratic systems with invariant algebraic curves
, 2011L. Cherkas
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