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Více informací o knize Frequency-domain Methods For Nonlinear Analysis: Theory And Applications

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Frequency-domain Methods For Nonlinear Analysis: Theory And Applications
• Autor: G.A. Leonov, D. V. Ponomarenko, V. B. Smirnova
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 512
• EAN: 9789810221461
• ISBN: 9810221460
• ID: 05065025
• Nakladatelství: World Scientific Publishing Co Pte Ltd
• Hmotnost: 680 g
• Datum vydání: 28. September 1995

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