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1. THE HARTMAN-GROBMAN THEOREM FOR MEAN HYPERBOLIC SYSTEMS NSTL国家科技图书文献中心

JIAHUI FENG -  《Discrete and continuous dynamical systems,Series B》 - 2025,30(2) - 402~421 - 共20页

摘要: theorem for mean hyperbolic systems on the whole axis R |  and half axis R~+. Mean hyperbolic systems possess | -hyperbolic phenomena during evolution process. For mean | In this paper, we establish Hartman-Grobman |  fixed average contraction and expansion rates measured
关键词: Hartman-Grobman theorem |  Mean hyperbolicity |  Mean exponential dichotomy |  Evolution equations |  Damped wave equation

2. Admissibility and mean hyperbolicity for evolution equations NSTL国家科技图书文献中心

Feng J. |  Li Y. -  《Bulletin des sciences mathematiques》 - 2024,193 - 共5页

摘要: admissibility and mean hyperbolicity for evolution equations |  mean hyperbolicity of damped wave equations with | , mean hyperbolic systems admit fixed average |  variable coefficients and the roughness of mean |  hyperbolicity are presented.
关键词: Admissibility |  Damped wave equation |  Evolution family |  Mean exponential dichotomy |  Mean hyperbolicity

3. Hyperbolic Audio-visual Zero-shot Learning NSTL国家科技图书文献中心

Jie Hong |  Zeeshan Hayder... -  《2023 IEEE/CVF International Conference on Computer Vision: ICCV 2023, Paris, France, 1-6 October 2023, [v.1]》 -  IEEE International Conference on Computer Vision - 2023, - 7839~7849 - 共11页

摘要: data reveals a large degree of hyperbolicity |  ActivityNet-GZSL achieving a harmonic mean (HM) improvement | Audio-visual zero-shot learning aims to |  classify samples consisting of a pair of corresponding |  audio and video sequences from classes that are not
关键词: Training |  Computer vision |  Zero-shot learning |  Video sequences |  Harmonic analysis |  Data structures |  Space exploration

4. Spacelike hypersurfaces in twisted product spacetimes with complete fiber and Calabi–Bernstein-type problems NSTL国家科技图书文献中心

Soria Alberto -  《Journal of geometry》 - 2023,114(2) - 共5页

摘要:. Several conditions ensuring global hyperbolicity are |  constant mean curvature hypersurfaces are obtained. Under |  with a suitable restriction on their mean curvature |  mean curvature equation for a spacelike graph on the | Abstract In this article spacelike
关键词: Twisted product manifold |  Spacetime |  Totally umbilical hypersurface |  Constant mean curvature hypersurface |  Maximal hypersurface |  Calabi–Bernstein problem |  Primary 53C50 |  53C42 |  53C80

5. Hyperbolicity of the Karcher mean EI 工程索引 SCIE Web of Science核心 NSTL国家科技图书文献中心

Ghiglioni, Eduardo |  Lim, Yongdo -  《Linear Algebra and its Applications》 - 2022,643 - 196~217 - 共22页

摘要: mean of linearly independent triples (A, B, C) on the |  determinant 1. We show that the Karcher mean is of the form | The main concern of this paper is the Karcher |  hyperbolic manifold of 2 x 2 positive definite matrices of |  (A, B, C) = xA + y(B + C), 0 < x, y and x + 2y < 1
关键词: Positive definite matrix |  Karcher mean |  CS-decomposition |  Hyperboloid of two sheets |  Hyperbolic matrix |  Positively stable matrix

6. GOLDEN MEAN SIEGEL DISK UNIVERSALITY AND RENORMALIZATION SCIE Web of Science核心 NSTL国家科技图书文献中心

Gaidashev, Denis |  Yampolsky, Michael -  《Moscow mathematical journal》 - 2022,22(3) - 451~491 - 共41页

摘要: renormalization theory - universality of the golden-mean Siegel |  stable manifold of the golden-mean renormalization fxed | -mean Siegel disk to two-dimensional dissi-pative He |  renormalization hyperbolicity result still holds in this setting. | We provide a computer-assisted proof of one of
关键词:   |  Renormalization |  universality |  Siegel disk |  Henon-like map |  CYLINDER RENORMALIZATION

7. Non-hyperbolicity at large scales of a high-dimensional chaotic system NSTL国家科技图书文献中心

Wormell, Caroline L. -  《Proceedings of the Royal Society, A. Mathematical, physical and engineering sciences》 - 2022,478(2261) - ARTN 20210808~ - 共19页

摘要: dynamical structures in a mean-field coupled system. To do |  hyperbolicity. Robust non-hyperbolic behaviour is expected | The dynamics of many important high | -dimensional dynamical systems are both chaotic and complex | , meaning that strong reducing hypotheses are required to
关键词: chaotic hypothesis |  coupled maps |  wild dynamics |  non-hyperbolic systems |  thermodynamic limit |  LINEAR-RESPONSE THEORY |  DYNAMICAL ENSEMBLES |  DIFFEOMORPHISMS |  OBSERVABLES |  OPERATOR...

8. Stochastic enzyme kinetics and the quasi-steady-state reductions: Application of the slow scale linear noise approximation a la Fenichel SCIE Web of Science核心 NSTL国家科技图书文献中心

Eilertsen, Justin |  Srivastava, Kashvi... -  《Journal of Mathematical Biology》 - 2022,85(1) - ARTN 3~ - 共27页

摘要: random fluctuations from the mean-field model of a | . Moreover, we discuss the loss of normal hyperbolicity and | The linear noise approximation models the |  chemical reaction that unfolds near the thermodynamic |  limit. Specifically, the fluctuations obey a linear
关键词: Singular perturbation |  Stochastic process |  Quasi-steady-state approximation |  Michaelis-Menten reaction mechanism |  Langevin equation |  Linear noise approximation |  Slow scale linear noise approximation |  REACTION NETWORKS |  ASSUMPTION |  MANIFOLDS...

9. The weak Smale horseshoe and mean hyperbolicity NSTL国家科技图书文献中心

Feng, Jiahui |  Li, Yong -  《Journal of Differential Equations》 - 2021,299 - 154~195 - 共42页

摘要:The paper concerns the mean hyperbolicity of |  application of mean hyperbolicity, we extend the shadowing |  a mean hyperbolic invariant set in the Poincare |  the skew-product flows induced by the perturbation |  equations driven by varieties of non-periodic forcings
关键词: Weakly averaged horseshoe |  Mean hyperbolicity |  Symbolic dynamics |  High dimensional chaos |  SYSTEMS |  CHAOS

10. Renormalization and Siegel disks for complex Henon maps SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Gaidashev, Denis |  Radu, Remus... -  《Journal of the European Mathematical Society: JEMS》 - 2021,23(4) - 1053~1073 - 共21页

摘要:We use hyperbolicity of golden-mean |  quadratic complex Henon maps with golden-mean rotation |  renormalization of dissipative Henon-like maps to prove that the |  boundaries of Siegel disks of sufficiently dissipative |  number are topological circles.
关键词: Renormalization |  Henon map |  Siegel disk
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