Elements of Applied Bifurcation Theory

Yuri A. Kuznetsov

doi:10.1007/978-3-031-22007-4

Elements of Applied Bifurcation Theory

Yuri A. Kuznetsov^*

^*Corresponding author for this work

Research output: Book/Report › Book › Academic

25 Citations (Scopus)

801 Downloads (Pure)

Abstract

This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations.

The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used.

This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis.

Original language	English
Place of Publication	Cham
Publisher	Springer
Number of pages	691
Edition	4th
ISBN (Electronic)	978-3-031-22007-4
ISBN (Print)	978-3-031-22006-7, 978-3-031-22009-8
DOIs	https://doi.org/10.1007/978-3-031-22007-4
Publication status	Published - 2023

Publication series

Name	Applied Mathematical Sciences
Publisher	Springer
Volume	112
ISSN (Print)	0066-5452
ISSN (Electronic)	2196-968X

Access to Document

10.1007/978-3-031-22007-4

Front MatterFinal published version, 290 KB

Cite this

@book{55836d7bfba548858c516fc19259c9a6,

title = "Elements of Applied Bifurcation Theory",

abstract = "This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis.",

author = "Kuznetsov, \{Yuri A.\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2023",

doi = "10.1007/978-3-031-22007-4",

language = "English",

isbn = "978-3-031-22006-7",

series = "Applied Mathematical Sciences",

publisher = "Springer",

address = "Germany",

edition = "4th",

}

TY - BOOK

T1 - Elements of Applied Bifurcation Theory

AU - Kuznetsov, Yuri A.

PY - 2023

Y1 - 2023

N2 - This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis.

AB - This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis.

UR - https://www.scopus.com/pages/publications/85153391095

U2 - 10.1007/978-3-031-22007-4

DO - 10.1007/978-3-031-22007-4

M3 - Book

AN - SCOPUS:85153335587

SN - 978-3-031-22006-7

SN - 978-3-031-22009-8

T3 - Applied Mathematical Sciences

BT - Elements of Applied Bifurcation Theory

PB - Springer

CY - Cham

ER -

Elements of Applied Bifurcation Theory

Abstract

Publication series

Access to Document

Other files and links

Fingerprint

Cite this