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: Ordinary Differential Equations and Mechanical Systems
  name:
    name part: Awrejcewicz, Jan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 614 p. 213 illus., 52 illus. in color. online resource.
  abstract: This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization, and ending on chaos and synchronization. Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples, and engineering intuition. The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering.
  table of contents: 1. Introduction -- 2. First order ODEs -- 3. Second order ODEs -- 4. Linear ODEs -- 5. Higher-order ODEs polynomial form -- 6. Systems -- 7. Theory and criteria of similarity -- 8. Model and modeling -- 9. Phase plane and phase space -- 10. Stability -- 11. Modeling via perturbation methods -- 12. Continualization and discretization -- 13. Bifurcations -- 14. Optimization of systems -- 15. Chaos and synchronization.
  note: by Jan Awrejcewicz.
  subject:
    topic: Mathematics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Differential equations
  subject:
    topic: Mathematical models
  subject:
    topic: Mechanics
  subject:
    topic: Mathematics
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Mechanics
  subject:
    topic: Mathematical Modeling and Industrial Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  classification: QA372
  classification: 515.352
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319076591
  identifier: http://dx.doi.org/10.1007/978-3-319-07659-1
  record info:
    record creation date: 140917
    record change date: 20151204141231.0
    record identifier: 978-3-319-07659-1