Integral Methods In Nonlinear Dynamics Of Systems (Hardcover)

Lingua: inglese

Editore: World Scientific Publishing Co Pte Ltd, Singapore, 2025

9819817994 / 9789819817993

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Hardcover. This monograph presents an integral method for analysing the dynamic behaviour of nonlinear, non-stationary, and controlled systems. The method is based on the use of nonlinear integral inequalities to obtain new estimates for the norms of solutions and Lyapunov functions for the corresponding systems of differential equations of disturbed motion.The book consists of seven chapters. The first chapter establishes new bounds for solutions to ordinary and infinite systems of differential equations using nonlinear integral inequalities in pseudo-linear form. The second chapter studies the equations of disturbed motion based on new estimates of Lyapunov functions. Here, conditions are established for various types of motion boundedness, including the stability of coupled systems under initial and subsequent disturbances. The third chapter is devoted to polynomial systems, where variations of Lyapunov functions are used to derive conditions for stability and stabilisation of motion, including the analysis of the zero solution of systems with aftereffects.Chapter 4 applies nonlinear integral inequalities to nonlinear systems with interval initial conditions, and studies the stabilisation of systems with multiple controls. Chapter 5 focuses on quasilinear systems with fractional derivatives, establishing conditions for boundedness and Lagrange stability. Chapter 6 introduces an integral method for time-scale dynamic equations with fractional derivatives, offering new tools for stability and boundedness analysis. The final chapter studies equilibrium stability in a model of confrontation between two countries and alliances, using Lyapunov functions and integral inequalities to determine conditions for stable equilibrium and changes in weapon levels. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Codice articolo 9789819817993

Titolo
Integral Methods In Nonlinear Dynamics Of Systems (Hardcover)
Autore
Anatoliy A. Martynyuk
Editore
World Scientific Publishing Co Pte Ltd, Singapore
Anno di pubblicazione
2025
Condizione
new
Rilegatura
Hardcover
Lingua
inglese
ISBN 10
9819817994
ISBN 13
9789819817993

CitiRetail

Stevenage, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 29 giugno 2022

Tariffe di spedizione da Regno Unito a U.S.A.

ArticoloDa 7 a 14 giorni lavorativiDa 7 a 60 giorni lavorativi
Primo articoloEUR 43,04EUR 43,04
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