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: Dynamical systems
    sub title: theories and applications
  title info:
    title: MATHnetBASE
  name:
    name part: Elhadj, Zeraoulia
    role:
      role term: creator
    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: 2019
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, et cetera This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.
  table of contents: Cover; Title Page; Copyright Page; Preface; Table of Contents; Preface; 1: Review of Chaotic Dynamics; 1.1 Introduction; 1.2 Poincaré map technique; 1.3 Smale horseshoe; 1.4 Symbolic dynamics; 1.5 Strange attractors; 1.6 Basins of attraction; 1.7 Density, robustness and persistence of chaos; 1.8 Entropies of chaotic attractors; 1.9 Period 3 implies chaos; 1.10 The Snap-back repeller and the Li-Chen-Marotto theorem; 1.11 Shilnikov criterion for the existence of chaos; 2: Human Immunodeficiency Virus and Urbanization Dynamics; 2.1 Introduction
  table of contents: 2.2 Definition of Human Immunodeficiency Virus (HIV)2.3 Modelling the Human Immunodeficiency Virus (HIV); 2.4 Dynamics of sexual transmission of the Human Immunodeficiency Virus; 2.5 The effects of variable infectivity on the HIV dynamics; 2.6 The CD4+ Lymphocyte dynamics in HIV infection; 2.7 The viral dynamics of a highly pathogenic Simian/Human Immunodeficiency Virus; 2.8 The effects of morphine on Simian Immunodeficiency Virus Dynamics; 2.9 The dynamics of the HIV therapy system; 2.10 Dynamics of urbanization; 3: Chaotic Behaviors in Piecewise Linear Mappings; 3.1 Introduction
  table of contents: 3.2 Chaos in one-dimensional piecewise smooth maps3.3 Chaos in one-dimensional singular maps; 3.4 Chaos in 2-D piecewise smooth maps; 4: Robust Chaos in Neural Networks Models; 4.1 Introduction; 4.2 Chaos in neural networks models; 4.3 Robust chaos in discrete time neural networks; 4.3.1 Robust chaos in 1-D piecewise-smooth neural networks; 4.3.2 Fragile chaos (blocks with smooth activation function); 4.3.3 Robust chaos (blocks with non-smooth activation function); 4.3.4 Robust chaos in the electroencephalogram model; 4.3.5 Robust chaos in Diluted circulant networks
  table of contents: 4.3.6 Robust chaos in non-smooth neural networks4.4 The importance of robust chaos in mathematics and some open problems; 5: Estimating Lyapunov Exponents of 2-D Discrete Mappings; 5.1 Introduction; 5.2 Lyapunov exponents of the discrete hyperchaotic double scroll map; 5.3 Lyapunov exponents for a class of 2-D piecewise linear mappings; 5.4 Lyapunov exponents of a family of 2-D discrete mappings with separate variables; 5.5 Lyapunov exponents of a discontinuous piecewise linear mapping of the plane governed by a simple switching law; 5.6 Lyapunov exponents of a modified map-based BVP model
  table of contents: 6: Control, Synchronization and Chaotification of Dynamical Systems6.1 Introduction; 6.2 Compound synchronization of different chaotic systems; 6.3 Synchronization of 3-D continuous-time quadratic systems using a universal non-linear control law; 6.4 Co-existence of certain types of synchronization and its inverse; 6.5 Synchronization of 4-D continuous-time quadratic systems using a universal non-linear control law; 6.6 Quasi-synchronization of systems with different dimensions; 6.7 Chaotification of 3-D linear continuous-time systems using the signum function feedback
  note: Zeraoulia Elhadj (Department of Mathematics, University of Tébessa, Algeria).
  subject:
    topic: Chaotic behavior in systems
  subject:
    topic: Dynamics
  subject:
    topic: SCIENCE / System Theory
  subject:
    topic: TECHNOLOGY & ENGINEERING / Operations Research
  subject:
    topic: MATHEMATICS / Arithmetic
  subject:
    topic: MATHEMATICS / Differential Equations
  subject:
    topic: SCIENCE / Mathematical Physics
  classification: Q172.5.C45 E44 2019
  classification: 003/.857
  identifier: 9780429028939
  identifier: 0429028938
  identifier: 9780429650062
  identifier: 042965006X
  identifier: 9780429647420
  identifier: 0429647425
  identifier: 9780429644788
  identifier: 0429644787
  identifier: 9780367137045
  identifier: 0367137046
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCoLC-P
    record creation date: 190124
    record change date: 20220613175958.1
    record identifier: in00004581753
    language of cataloging:
      language term: eng