Dynamical Systems and Nonlinear Waves in Plasmas

Dynamical Systems and Nonlinear Waves in Plasmas is a book that provides an introduction to the background of dynamical systems, waves, oscillations, and plasmas. It discusses the basic concepts of dynamical systems and phase plane analysis for studying the dynamical properties of nonlinear waves in plasmas. It also presents analytical wave solutions of these equations using bifurcation theory. The book covers various types of waves in plasmas, including small and arbitrary amplitudes, and discusses the bifurcation behavior of super nonlinear waves. It also investigates multiperiodic, quasiperiodic, and chaotic motions of nonlinear plasma waves in presence of external periodic force. The book is intended for undergraduate and postgraduate students studying plasma physics and will also serve as a reference for researchers, scientists, and faculties.

Format: Paperback / softback
Length: 208 pages
Publication date: 25 September 2023
Publisher: Taylor & Francis Ltd

Dynamical Systems and Nonlinear Waves in Plasmas is a comprehensive and accessible text designed to serve as a compact resource for advanced postgraduate students and researchers engaged in the fields of Applied Physics, Applied Mathematics, Dynamical Systems, Nonlinear Waves in Plasmas, or other nonlinear media. It offers an introduction to the background of dynamical systems, waves, oscillations, and plasmas, providing a solid foundation for further exploration.

The book delves into fundamental concepts of dynamical systems and phase plane analysis, which are crucial in understanding the dynamical properties of nonlinear waves in plasmas. It introduces various types of waves in plasmas, including acoustic, electromagnetic, and plasma waves. The text employs the reductive perturbative technique to derive different nonlinear evolution equations governing the dynamics of these waves in plasmas. Analytical wave solutions of these equations are presented using the concept of bifurcation theory, a branch of planar dynamical systems that studies the stability and bifurcations of dynamical systems.

Bifurcations of both small and arbitrary amplitudes of various nonlinear acoustic waves in plasmas are explored using phase plots and time-series plots. The book also discusses the behavior of super nonlinear waves and their bifurcation properties in different plasma systems. Multiperiodic, quasiperiodic, and chaotic motions of nonlinear plasma waves are examined in the presence of external periodic forces. The concept of multistability is investigated, exploring the stability of plasma waves under various conditions. Stable oscillation of plasma waves is presented in dissipative plasmas, highlighting the interplay between energy dissipation and wave dynamics.

This book is primarily intended for undergraduate and postgraduate students studying plasma physics. It serves as a valuable reference for researchers, scientists, and faculties seeking to delve deeper into the dynamics of nonlinear waves and their properties in plasmas. The text elucidates the concept of dynamical systems, offering insights into exciting features such as solitary waves, periodic waves, and supernovae. By presenting the material in a clear and concise manner, Dynamical Systems and Nonlinear Waves in Plasmas facilitates a deeper understanding of these complex phenomena and their applications in various scientific and technological fields.

Weight: 453g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032025681