Keyword

focus value

Description: In dynamical systems, a focus value is a coefficient used to characterize the behavior and stability of trajectories near a weak focus.

Primary topic: Advanced Differential Equations and Dynamical Systems (45%)

OpenAlex ID: keywords/focus-value

On the characterization of alternatives

2011 · Danny Fox, Roni Katzir · Natural Language Semantics · 457

TWELVE LIMIT CYCLES IN A CUBIC CASE OF THE 16th HILBERT PROBLEM

2005 · P. YU, M. HAN · International Journal of Bifurcation and Chaos · 75

Symbolic computation of limit cycles associated with Hilbert’s 16th problem

2008 · P. Yu, R. Corless · Communications in Nonlinear Science and Numerical Simulation · 36

Centers and isochronous centers of a class of quasi-analytic switching systems

2018 · Feng Li, Pei Yu, et al. · Science China Mathematics · 35

A Study on the Existence of Limit Cycles of a Planar System With Third-degree Polynomials

2004 · M. HAN, Y. LIN, et al. · International Journal of Bifurcation and Chaos · 32

Computation of focus values with applications

2007 · Pei Yu, Guanrong Chen · Nonlinear Dynamics · 30

Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka–Volterra systems

2015 · Pei Yu, Maoan Han, et al. · Journal of Mathematical Analysis and Applications · 26

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An Application of Regular Chain Theory to the Study of Limit Cycles

2013 · CHANGBO CHEN, ROBERT M. CORLESS, et al. · International Journal of Bifurcation and Chaos · 26

New confocal LM method for studying local relative microrelief with special reference to wear studies

1991 · A. Boyde, M. Fortelius · Scanning · 25

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On the Meaning and Measure of Uncertainty*

1953 · G. L. S. Shackle · Metroeconomica · 21

Focus Profile Modeling

2015 · Dong-Chen Tsai, Homer H. Chen · IEEE Transactions on Image Processing · 20

Qualitative analysis of a harvested predator-prey system with Holling-type III functional response incorporating a prey refuge

2012 · Jinghai Wang, Liqin Pan · Advances in Difference Equations · 19

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Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials

2015 · Yun Tian, Pei Yu · Journal of Differential Equations · 18

Dynamical electron diffraction in substitutionally disordered column structures

1995 · P De Meulenaere, D Van Dyck, et al. · Ultramicroscopy · 18

A fuzzy-control processor for automatic focusing

1994 · Yongman Lee, Seong-Ik Jang, et al. · IEEE Transactions on Consumer Electronics · 14

Seven Limit Cycles Around a Focus Point in a Simple Three-Dimensional Quadratic Vector Field

2014 · Yun Tian, Pei Yu · International Journal of Bifurcation and Chaos · 11

Bifurcation of limit cycles and center problem for p:q homogeneous weight systems

2018 · Tao Liu, Feng Li, et al. · Nonlinear Analysis Real World Applications · 10

A new auto-focus method based on focal window searching and tracking approach for digital camera

2008 · Tsung Han Tsai, Chung-Yuan Lin · International Symposium on Communications, Control and Signal Processing · 10

An efficient solution procedure for solving higher-codimension Hopf and Bogdanov–Takens bifurcations

2024 · Bing Zeng, Pei Yu, et al. · Communications in Nonlinear Science and Numerical Simulation · 9

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A filter-switching auto-focus framework for consumer camera imaging systems

2012 · Mark Gamadia, Nasser Kehtarnavaz · IEEE Transactions on Consumer Electronics · 9

Multidirectional focus measure for accurate three‐dimensional shape recovery of microscopic objects

2021 · Seong‐O Shim · Microscopy Research and Technique · 8

Noise insensitive focus value operator for digital imaging systems

2010 · Jongseong Choi, Hee Kang, et al. · IEEE Transactions on Consumer Electronics · 8

On Auto Focusing under a Microscopic View

2007 · Ku Chin Lin · Proceedings of the Annual Conference of the IEEE Industrial Electronics Society · 6

Multiplicity on Limit Cycles of 3D Lotka-Volterra Competitive Systems

2022 · Yaoqi Li, Jifa Jiang · Journal of Dynamics and Differential Equations · 5

Bifurcation of an SIRS Model with a Modified Nonlinear Incidence Rate

2023 · Yingying Zhang, Chentong Li · Mathematics · 4

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Works count: 96

Citation count: 975