Kniha Frequency-domain Methods For Nonlinear Analysis: Theory And Applications G.A. Leonov

Frequency-domain Methods For Nonlinear Analysis: Theory And Applications

Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: 50 % šanca
Prehľadáme celý svet
116.90
This book deals with the investigation of global attractors of nonlinear dynamical systems. The expo...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
1995
Stránok
512
EAN
9789810221461
ISBN
9810221460
Enbook ID
05065025
Hmotnosť
680

Kompletný popis

This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, that is, to finite denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.

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