About the book

This book is devoted to dynamical systems and will encompass an introduction to dynamical systems, their importance, and their applications in real-world problems. The topics covered will include treating dynamical systems with advanced techniques, qualitative analysis of dynamical systems, and control and stability theory by using various analyses. The book will cover numerical solutions of linear and nonlinear systems addressing the diverse processes of the real world, the use of integral transform to investigate dynamical systems and computations of solutions, and the graphical presentation of solutions and discussion. It will address using various tools to establish stability criteria for various dynamical systems including Jacobian analysis and Lyapunov method; Hyers-Ulam type stability analysis; applications of dynamical systems and their treatments. Various examples of dynamical systems in system biology, fluid mechanics, hydrodynamics, control theory, physics, and epidemiology are also welcomed as contributions. Also covered by this book is the numerical analysis of dynamical systems via using various methods like Adam Bashforth method, RKM methods, and Euler method; the use of spectral and wavelet methods in dealing with dynamical systems numerically. Finally, some concert examples of dynamical systems are welcomed.