Cantitate/Preț
Produs
Total produse
Vezi coșul
Bifurcation and Stability in Nonlinear Dynamical Systems de Albert C. J. Luo

Bifurcation and Stability in Nonlinear Dynamical Systems: Nonlinear Systems and Complexity, cartea 28

Autor Albert C. J. Luo
en Limba Engleză Hardback – 31 ian 2020
This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. For instance, infinite-equilibrium dynamical systems have higher-order singularity, which dramatically changes dynamical behaviors and possesses the similar characteristics of discontinuous dynamical systems. The stability and bifurcation of equilibriums on the specific eigenvector are presented, and the spiral stability and Hopf bifurcation of equilibriums in nonlinear systems are presented through the Fourier series transformation. The bifurcation and stability of higher-order singularity equilibriums are presented through the (2m)th and (2m+1)th -degree polynomial systems. From local analysis, dynamics of infinite-equilibrium systems is discussed. The research on infinite-equilibrium systems will bring us to the new era of dynamical systems and control. 

  • Presents an efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums;
  • Discusses dynamics of infinite-equilibrium systems;
  • Demonstrates higher-order singularity.
Citește tot Restrânge

Din seria Nonlinear Systems and Complexity

Preț: 91886 lei

Preț vechi: 120902 lei
-24%

Puncte Express: 1378
Paperback 90044 lei
Hardback 91886 lei

Carte tipărită la comandă

Livrare economică 23-30 noiembrie

Livrare prin curier în România Termenul estimat este afișat lângă disponibilitate.
Transport gratuit pentru acest produs Plată online sau ramburs, în funcție de opțiunile comenzii.
Retur gratuit în 14 zile Comandă securizată și suport în română.
 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă

Specificații

ISBN-13: 9783030229092
ISBN-10: 3030229092
Pagini: 424
Ilustrații: XI, 411 p. 78 illus., 64 illus. in color.
Dimensiuni: 160 x 241 x 27 mm
Greutate: 0.82 kg
Ediția:1st ed. 2019
Editura: Springer
Colecția Nonlinear Systems and Complexity
Seria Nonlinear Systems and Complexity

Locul publicării:Cham, Switzerland

Cuprins

Stability of equilibriums.- Bifurcation of equilibriums.- Low-dimensional dynamical system.- Equilibrium and higher-singularity.- Low-degree polynomial systems.- (2m)th-degree polynomial systems.- (2m+1)th-degree polynomial systems.- Infinite-equilibrium systems.

Recenzii

“The book should be of interest to research and practising scientists and engineers as well as Ph.D. students in the field of nonlinear dynamical systems and control theory.” (Clementina Mladenova, zbMATH 1440.93005, 2020)

Notă biografică

This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower-saddle flows are presented. The corresponding appearing and switching bifurcations are presented for the hyperbolic and hyperbolic-secant networks, and singular flows networks. The corresponding theorem is presented, and the proof of theorem is given. Based on the singular flows, the corresponding hyperbolic and hyperbolic-secant flows are illustrated for a better understanding of the dynamics of constant and product polynomial systems.

Textul de pe ultima copertă

This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. For instance, infinite-equilibrium dynamical systems have higher-order singularity, which dramatically changes dynamical behaviors and possesses the similar characteristics of discontinuous dynamical systems. The stability and bifurcation of equilibriums on the specific eigenvector are presented, and the spiral stability and Hopf bifurcation of equilibriums in nonlinear systems are presented through the Fourier series transformation. The bifurcation and stability of higher-order singularity equilibriums are presented through the (2m)th and (2m+1)th -degree polynomial systems. From local analysis, dynamics of infinite-equilibrium systems is discussed. The research on infinite-equilibrium systems will bring us to the new era of dynamical systems and control. 

  • Presents an efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums;
  • Discusses dynamics of infinite-equilibrium systems;
  • Demonstrates higher-order singularity.