Oscillatory Solutions of Deviating Difference Equations (Paperback)
Oscillatory Solutions of Deviating Difference Equations" authored by N. Indrajith is a comprehensive reference for researchers and students interested in the study of second order recursive equations and their oscillatory behavior. The book delves into the world of difference equations on time scales and provides a thorough understanding of dynamic equations, nonlinear equations, and periodic solutions.
The book also covers stability analysis and asymptotic behavior of discrete-time systems with an emphasis on mathematical models that exhibit chaos and bifurcation behavior. The reader will gain insights into delay differential equations, oscillation theory, eigenvalues, and eigenvectors. Boundary value problems, initial value problems, and the characteristic equation are also discussed in detail.
The book covers a wide range of topics in stability theory, including recurrence relation, differential equations with piecewise constant arguments, impulsive differential equations, and non-autonomous systems. Furthermore, it explores discrete dynamical systems, difference-differential equations, and perturbation theory.
Readers interested in the practical applications of these mathematical concepts will find discussions on neural networks, control theory, robotics, machine learning, signal processing, and communication theory. The book also explores chaos synchronization, chaos control, Lyapunov exponents, Poincar maps, and bifurcation diagrams.
Overall, "Oscillatory Solutions of Deviating Difference Equations" provides a comprehensive overview of the theoretical foundations and practical applications of second order recursive equations, making it an essential reference for researchers and students in computational mathematics, mathematical physics, mathematical biology, and related fields