Homoclinic points for convex billiards
, 2013 In this paper we investigate some generic properties of a billiard system on a convex table. We show that generically, every hyperbolic periodic point admits some homoclinic orbit.Comment: 12 pages, 1 ...
Xia, Zhihong, Zhang, Pengfei
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On Small Gaps in the Length Spectrum
, 2016 We discuss upper and lower bounds for the size of gaps in the length spectrum of negatively curved manifolds. For manifolds with algebraic generators for the fundamental group, we establish the existence of exponential lower bounds for the gaps.
Dolgopyat, Dmitry, Jakobson, Dmitry
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A Local Analysis of a Mathematical Pattern for Interactions between the Human Immune System and a Pathogenic Agent. [PDF]
Entropy (Basel), 2023 Munteanu F.
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Homoclinic intersections of symplectic partially hyperbolic systems with 2D center
, 2015 We study some generic properties of partially hyperbolic symplectic systems with 2D center. We prove that $C^r$ generically, every hyperbolic periodic point has a transverse homoclinic intersection for the maps close to a direct/skew product of an Anosov
Zhang, Pengfei
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The impact of vaccination on the spread of COVID-19: Studying by a mathematical model. [PDF]
Physica A, 2022 Yang B, Yu Z, Cai Y.
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On the first integral conjecture of Rene Thom
, 2007 More that half a century ago R. Thom asserted in an unpublished manuscript that, generically, vector fields on compact connected smooth manifolds without boundary can admit only trivial continuous first integrals.
Cresson, Jacky +2 more
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Parametrized family of pseudo-arc attractors: Physical measures and prime end rotations. [PDF]
Proc Lond Math Soc, 2022 Činč J, Oprocha P.
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Piecewise contractions defined by iterated function systems
, 2014 Let $\phi_1,\ldots,\phi_n:[0,1]\to (0,1)$ be Lipschitz contractions. Let $I=[0,1)$, $x_0=0$ and $x_n=1$.
Nogueira, Arnaldo +2 more
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Two classes of ODE models with switch-like behavior. [PDF]
Physica D, 2013 Just W, Korb M, Elbert B, Young T.
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Comparative in vitro anti-hepatitis C virus activities of a selected series of polymerase, protease, and helicase inhibitors. [PDF]
Antimicrob Agents Chemother, 2008 Paeshuyse J +11 more
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