Nonlinear dynamics and chaos in fractional-order neural networks

Article Properties
Journal Categories
Medicine
Internal medicine
Neurosciences
Biological psychiatry
Neuropsychiatry
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Technology
Electrical engineering
Electronics
Nuclear engineering
Electronics
Technology
Mechanical engineering and machinery
Refrences
Title Journal Journal Categories Citations Publication Date
A novel exact representation of stationary colored Gaussian processes (fractional differential approach) Journal of Physics A: Mathematical and Theoretical
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
35 2010
Fractional-order circuits and systems: an emerging interdisciplinary research area 2010
Existence of solutions for impulsive integral boundary value problems of fractional order Nonlinear Analysis: Hybrid Systems
  • Technology: Mechanical engineering and machinery
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
88 2010
Fractional-order hopfield neural networks 2009
Bifurcation in neuronal networks with hub structure Physica A: Statistical Mechanics and its Applications
  • Science: Physics
  • Science: Physics
15 2009
Citations
Title Journal Journal Categories Citations Publication Date
Emergent dynamics in fractional-order Wilson–Cowan neural network systems Chaos, Solitons & Fractals
  • Science: Mathematics
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
2024
Generalized Lyapunov stability theory of continuous-time and discrete-time nonlinear distributed-order systems and its application to boundedness and attractiveness for networks models Communications in Nonlinear Science and Numerical Simulation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Mathematics
  • Science: Mathematics
  • Science: Physics
1 2024
Projective synchronization for distinct fractional-order neural networks consist of inconsistent orders via sliding mode control Communications in Nonlinear Science and Numerical Simulation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Mathematics
  • Science: Mathematics
  • Science: Physics
2024
Multi-scroll and coexisting attractors in a Hopfield neural network under electromagnetic induction and external stimuli Neurocomputing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
3 2024
Almost periodic quasi-projective synchronization of delayed fractional-order quaternion-valued neural networks Neural Networks
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2024
Citations Analysis
Category Category Repetition
Technology: Mechanical engineering and machinery110
Science: Mathematics99
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics93
Science: Mathematics: Instruments and machines: Electronic computers. Computer science93
Technology: Engineering (General). Civil engineering (General)61
Science: Physics50
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods47
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks31
Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry27
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics27
Science: Science (General)19
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware11
Science: Physics: Heat: Thermodynamics11
Science: Mathematics: Analysis11
Science: Science (General): Cybernetics: Information theory9
Technology: Technology (General): Industrial engineering. Management engineering8
Technology: Chemical technology7
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials6
Technology: Electrical engineering. Electronics. Nuclear engineering6
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication6
Science: Mathematics: Instruments and machines6
Medicine5
Science4
Science: Astronomy: Astrophysics4
Technology: Manufactures: Production management. Operations management4
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases4
Science: Biology (General)3
Science: Chemistry: Organic chemistry: Biochemistry3
Science: Physics: Acoustics. Sound2
Science: Physics: Optics. Light2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Medicine: Medicine (General): Computer applications to medicine. Medical informatics2
Science: Science (General): Cybernetics2
Technology: Mechanical engineering and machinery: Control engineering systems. Automatic machinery (General)1
The category Technology: Mechanical engineering and machinery 110 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled α-stability and α-synchronization for fractional-order neural networks and was published in 2012. The most recent citation comes from a 2024 study titled Projective synchronization for distinct fractional-order neural networks consist of inconsistent orders via sliding mode control. This article reached its peak citation in 2017, with 38 citations. It has been cited in 86 different journals, 22% of which are open access. Among related journals, the Neurocomputing cited this research the most, with 24 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year