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The Resource Ordinary Differential Equations and Mechanical Systems, by Jan Awrejcewicz, (electronic resource)

Ordinary Differential Equations and Mechanical Systems, by Jan Awrejcewicz, (electronic resource)

Creator
Author
Contributor
Summary
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
Language
eng
Work
Publication
Extent
XV, 614 p. 213 illus., 52 illus. in color.
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
Isbn
9783319076591
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-07659-1
Instance
Label
Ordinary Differential Equations and Mechanical Systems
Title
Ordinary Differential Equations and Mechanical Systems
Statement of responsibility
by Jan Awrejcewicz
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Awrejcewicz, Jan
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink (Online service)
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • Differential equations
  • Mathematical models
  • Mechanics
Label
Ordinary Differential Equations and Mechanical Systems, by Jan Awrejcewicz, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-07659-1
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
978-3-319-07659-1
Dimensions
unknown
Extent
XV, 614 p. 213 illus., 52 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319076591
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-07659-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086467414
Label
Ordinary Differential Equations and Mechanical Systems, by Jan Awrejcewicz, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-07659-1
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
978-3-319-07659-1
Dimensions
unknown
Extent
XV, 614 p. 213 illus., 52 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319076591
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-07659-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086467414

Subject

Member of

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