Description

The book "Oscillatory Behavior of Difference Equations with Deviations" by R. Kanagasabapathi is a comprehensive guide to the study of oscillatory behavior in difference equations with deviations. The book covers a wide range of topics related to discrete dynamical systems, nonlinear equations, and stability theory. The author provides a thorough analysis of the boundedness, periodicity, and asymptotic behavior of difference equations, including linear and nonlinear difference equations and higher order difference equations.

The book also delves into the study of discrete chaos, discrete bifurcations, discrete attractors, and discrete chaos control, including discrete chaos synchronization. It covers the use of mathematical models, numerical analysis, and computational methods for the study of oscillatory behavior in difference equations with deviations.

Other topics covered in the book include discrete fractals, discrete optimization, discrete wavelet transform, discrete Fourier transform, discrete time series, discrete signal processing, discrete calculus, discrete mathematics, complex systems, chaotic dynamics, and nonlinear phenomena.

The book also includes discussions on time delay systems, symmetry breaking, nonlinear oscillations, Hopf bifurcation, periodic solutions, singular perturbations, stability analysis, and perturbation theory. It is an essential resource for researchers, academics, and graduate students in the field of mathematics and applied sciences who are interested in the study of oscillatory behavior in difference equations with deviations.