rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Optimization of integer/fractional order chaotic systems by metaheuristics and their electronic realization
  title info:
    title: MATHnetBASE
  name:
    name part: Tlelo-Cuautle, Esteban
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Fraga, Luis Gerardo de la
    role:
      role term: author.
  name:
    name part: Guillén-Fernández, Omar
    role:
      role term: author.
  name:
    name part: Silva-Juárez, Alejandro
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2021
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: Mathematicians have deviseddifferent chaotic systems that are modeled by integer or fractional-order differential equations, and whose mathematical models can generate chaos or hyperchaos. The numerical methods to simulate those integer and fractional-order chaotic systems are quite different and their exactness is responsible in the evaluation of characteristics like Lyapunov exponents, Kaplan-Yorke dimension, and entropy. One challenge is estimating the step-size to run a numerical method. It can be done analyzing the eigenvalues of self-excited attractors, while for hidden attractors it is difficult to evaluate the equilibrium points that are required to formulate the Jacobian matrices. Time simulation of fractional-order chaotic oscillators also requires estimating a memory length to achieve exact results, and it is associated to memories in hardware design. In this manner, simulating chaotic/hyperchaotic oscillators of integer/fractional-order and with self-excited/hidden attractors is quite important to evaluate their Lyapunov exponents, Kaplan-Yorke dimension and entropy. Further, to improve the dynamics of the oscillators, their main characteristics can be optimized applying metaheuristics, which basically consists of varying the values of the coefficients of a mathematical model. The optimized models can then be implemented using commercially available amplifiers, field-programmable analog arrays (FPAA), field-programmable gate arrays (FPGA), microcontrollers, graphic processing units, and even using nanometer technology of integrated circuits. The book describes the application of different numerical methods to simulate integer/fractional-order chaotic systems. These methods are used within optimization loops to maximize positive Lyapunov exponents, Kaplan-Yorke dimension, and entropy. Single and multi-objective optimization approaches applying metaheuristics are described, as well as their tuning techniques to generate feasible solutions that are suitable…
  note: Esteban Tlelo-Cuautle, Luis Gerardo de la Fraga, Omar Guillén-Fernández, Alejandro Silva-Juárez.
  subject:
    topic: Chaotic behavior in systems
  subject:
    topic: Mathematical optimization
  subject:
    topic: Metaheuristics
  subject:
    topic: Fractional differential equations
  subject:
    topic: MATHEMATICS / Graphic Methods
  subject:
    topic: MATHEMATICS / Number Systems
  subject:
    topic: MATHEMATICS / Probability & Statistics / General
  classification: Q172.5.C45
  classification: 515/.39
  identifier: 9781000346671
  identifier: 1000346676
  identifier: 9781000346657
  identifier: 100034665X
  identifier: 9781003042181
  identifier: 100304218X
  identifier: 9781000346664
  identifier: 1000346668
  identifier: 9780367486686
  identifier: 0367486687
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCoLC-P
    record creation date: 210309
    record change date: 20220613180040.1
    record identifier: in00004582001
    language of cataloging:
      language term: eng