A Fast Method for Approximating Invariant Manifolds

Article Properties
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Handbook of grid generation 1999
Numerical Calculation of Invariant Tori SIAM Journal on Scientific and Statistical Computing 44 1991
Computation of Invariant Tori by the Method of Characteristics SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 29 1995
A subdivision algorithm for the computation of unstable manifolds and global attractors Numerische Mathematik
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 174 1997
10.1016/S0898-1221(98)00164-3
Citations
Title Journal Journal Categories Citations Publication Date
Computer data processing method of map manifold based on derivative transfer approach

 Concurrency and Computation: Practice and Experience
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 2023
Heteroclinic cycles and chaos in a system of four identical phase oscillators with global biharmonic coupling

 Chaos: An Interdisciplinary Journal of Nonlinear Science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Physics
 2023
Comparing Explicit and Implicit Methods for Estimating the Region of Attraction

 Journal of Physics: Conference Series 2023
Finite Time Lyapunov Exponent Analysis of Model Predictive Control and Reinforcement Learning IEEE Access
  • Technology: Electrical engineering. Electronics. Nuclear engineering
  • Science: Science (General): Cybernetics: Information theory
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
 2023
Identifying and Visualizing Terrestrial Magnetospheric Topology using Geodesic Level Set Method

 Computer Graphics Forum
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 2023
Citations Analysis
Category Category Repetition
Science: Mathematics24
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods16
Science: Physics9
Science: Science (General)6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science6
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics5
Technology: Mechanical engineering and machinery5
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware4
Technology: Engineering (General). Civil engineering (General)4
Science: Biology (General)3
Science: Chemistry: Organic chemistry: Biochemistry2
Medicine: Medicine (General): Computer applications to medicine. Medical informatics2
Technology: Electrical engineering. Electronics. Nuclear engineering1
Science: Science (General): Cybernetics: Information theory1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics1
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases1
Science: Physics: Acoustics. Sound1
Technology: Mechanical engineering and machinery: Control engineering systems. Automatic machinery (General)1
Technology: Technology (General)1
Science: Mathematics: Instruments and machines1
Technology: Environmental technology. Sanitary engineering1
Science: Biology (General): Ecology1
The category Science: Mathematics 24 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Computing Invariant Manifolds by Integrating Fat Trajectories and was published in 2005. The most recent citation comes from a 2023 study titled Identifying and Visualizing Terrestrial Magnetospheric Topology using Geodesic Level Set Method. This article reached its peak citation in 2023, with 5 citations. It has been cited in 26 different journals, 11% of which are open access. Among related journals, the SIAM Journal on Applied Dynamical Systems cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year