D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 33 Citations 4,160 118 World Ranking 1694 National Ranking 732

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Topology
  • Dynamical system

His primary scientific interests are in Mathematical analysis, Space, Biological dispersal, Current and Traveling wave. He usually deals with Mathematical analysis and limits it to topics linked to Dynamics and Product. Wenxian Shen integrates many fields in his works, including Space and Spacetime.

His Current study deals with Bistability intersecting with Discrete space and Series. His Ordinary differential equation research is multidisciplinary, incorporating elements of Ergodic theory, Lattice model, Particle in a one-dimensional lattice and First-order partial differential equation. His research integrates issues of Ode and Differential equation in his study of Partial differential equation.

His most cited work include:

  • Traveling Waves in Lattice Dynamical Systems (259 citations)
  • Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows (250 citations)
  • Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats (142 citations)

What are the main themes of his work throughout his whole career to date?

Wenxian Shen mainly focuses on Mathematical analysis, Combinatorics, Space, Current and Uniqueness. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Type and Lyapunov exponent. The Combinatorics study combines topics in areas such as Traveling wave, Bounded function and Hölder condition.

In his research on the topic of Space, Exponential stability is strongly related with Partial derivative. His Current study integrates concerns from other disciplines, such as Ergodic theory, Operator, Determinacy and Interval. His work deals with themes such as Integer, Monotonic function, Bistability and Lattice, which intersect with Uniqueness.

He most often published in these fields:

  • Mathematical analysis (62.35%)
  • Combinatorics (21.18%)
  • Space (20.00%)

What were the highlights of his more recent work (between 2017-2021)?

  • Combinatorics (21.18%)
  • Mathematical analysis (62.35%)
  • Current (20.00%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Combinatorics, Mathematical analysis, Current, Bounded function and Series. Wenxian Shen interconnects Hölder condition and Traveling wave in the investigation of issues within Combinatorics. In his study, Determinacy is strongly linked to Lyapunov exponent, which falls under the umbrella field of Mathematical analysis.

His Current study also includes fields such as

  • Type most often made with reference to Boundary,

  • Asymptotic dynamics and related Time periodic and Uniqueness,

  • Constant and related Initial value problem. His research on Bounded function also deals with topics like

  • Bistability most often made with reference to Space,

  • Statistical physics and related Ordinary differential equation. His research investigates the connection between Series and topics such as Ergodic theory that intersect with problems in Dynamical system, Topological conjugacy, Exponential function and Monotonic function.

Between 2017 and 2021, his most popular works were:

  • Spreading speeds and traveling waves for space-time periodic nonlocal dispersal cooperative systems (18 citations)
  • Parabolic–elliptic chemotaxis model with space–time-dependent logistic sources on ℝN. I. Persistence and asymptotic spreading (13 citations)
  • Existence of traveling wave solutions of parabolic–parabolic chemotaxis systems (11 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows

Wenxian Shen;Yingfei Yi.
(1998)

345 Citations

Traveling Waves in Lattice Dynamical Systems

Shui-Nee Chow;Shui-Nee Chow;John Mallet-Paret;Wenxian Shen.
Journal of Differential Equations (1998)

340 Citations

Random dispersal vs. non-local dispersal

Chiu-Yen Kao;Yuan Lou;Wenxian Shen.
Discrete and Continuous Dynamical Systems (2009)

159 Citations

Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats

Wenxian Shen;Aijun Zhang.
Journal of Differential Equations (2010)

149 Citations

Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities: I. Stability and Uniqueness

Wenxian Shen.
Journal of Differential Equations (1999)

123 Citations

Dynamics in a discrete Nagumo equation: spatial topological chaos

Shui-Nee Chow;Wenxian Shen.
Siam Journal on Applied Mathematics (1995)

118 Citations

Random attractors for stochastic lattice dynamical systems in weighted spaces

Xiaoying Han;Wenxian Shen;Shengfan Zhou.
Journal of Differential Equations (2011)

109 Citations

Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities: II. Existence

Wenxian Shen.
Journal of Differential Equations (1999)

104 Citations

Existence of Generalized Traveling Waves in Time Recurrent and Space Periodic Monostable Equations

Wenxian Shen.
Journal of Applied Analysis and Computation (2011)

103 Citations

Traveling Waves in Diffusive Random Media

Wenxian Shen.
Journal of Dynamics and Differential Equations (2004)

98 Citations

Best Scientists Citing Wenxian Shen

Xiao-Qiang Zhao

Xiao-Qiang Zhao

Memorial University of Newfoundland

Publications: 36

Wan-Tong Li

Wan-Tong Li

Lanzhou University

Publications: 35

François Hamel

François Hamel

Aix-Marseille University

Publications: 30

Bixiang Wang

Bixiang Wang

New Mexico Institute of Mining and Technology

Publications: 25

Tomás Caraballo

Tomás Caraballo

University of Seville

Publications: 15

Peter E. Kloeden

Peter E. Kloeden

Goethe University Frankfurt

Publications: 13

Yuan Lou

Yuan Lou

The Ohio State University

Publications: 13

Henri Berestycki

Henri Berestycki

Centre d'Analyse et de Mathématique Sociales

Publications: 13

John Mallet-Paret

John Mallet-Paret

Brown University

Publications: 8

Yihong Du

Yihong Du

University of New England

Publications: 8

Michal Fečkan

Michal Fečkan

Comenius University

Publications: 7

George R. Sell

George R. Sell

University of Minnesota

Publications: 7

Enrico Valdinoci

Enrico Valdinoci

University of Western Australia

Publications: 7

Kening Lu

Kening Lu

Brigham Young University

Publications: 7

Xinfu Chen

Xinfu Chen

University of Pittsburgh

Publications: 6

Xingfu Zou

Xingfu Zou

University of Western Ontario

Publications: 6

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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