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| Author | : Santo Banerjee |
| Publisher | : CRC Press |
| Total Pages | : 218 |
| Release | : 2021-09-10 |
| Genre | : Science |
| ISBN | : 1000404757 |
Download Dynamical Systems and Nonlinear Waves in Plasmas Book in PDF, ePub and Kindle
Dynamical systems and Nonlinear Waves in Plasmas is written in a clear and comprehensible style to serve as a compact volume for advanced postgraduate students and researchers working in the areas of Applied Physics, Applied Mathematics, Dynamical Systems, Nonlinear waves in Plasmas or other nonlinear media. It provides an introduction to the background of dynamical systems, waves, oscillations and plasmas. Basic concepts of dynamical systems and phase plane analysis for the study of dynamical properties of nonlinear waves in plasmas are presented. Different kinds of waves in plasmas are introduced. Reductive perturbative technique and its applications to derive different kinds of nonlinear evolution equations in plasmas are discussed. Analytical wave solutions of these nonlinear evolution equations are presented using the concept of bifurcation theory of planar dynamical systems in a very simple way. Bifurcations of both small and arbitrary amplitudes of various nonlinear acoustic waves in plasmas are presented using phase plots and time-series plots. Super nonlinear waves and its bifurcation behaviour are discussed for various plasma systems. Multiperiodic, quasiperiodic and chaotic motions of nonlinear plasma waves are discussed in presence of external periodic force. Multistability of plasma waves is investigated. Stable oscillation of plasma waves is also presented in dissipative plasmas. The book is meant for undergraduate and postgraduate students studying plasma physics. It will also serve a reference to the researchers, scientists and faculties to pursue the dynamics of nonlinear waves and its properties in plasmas. It describes the concept of dynamical systems and is useful in understanding exciting features, such as solitary wave, periodic wave, supernonlinear wave, chaotic, quasiperiodic and coexisting structures of nonlinear waves in plasmas. The concepts and approaches, discussed in the book, will also help the students and professionals to study such features in other nonlinear media.
| Author | : Santo Banerjee |
| Publisher | : CRC Press |
| Total Pages | : 207 |
| Release | : 2021-09-10 |
| Genre | : Science |
| ISBN | : 1000404765 |
Download Dynamical Systems and Nonlinear Waves in Plasmas Book in PDF, ePub and Kindle
Dynamical systems and Nonlinear Waves in Plasmas is written in a clear and comprehensible style to serve as a compact volume for advanced postgraduate students and researchers working in the areas of Applied Physics, Applied Mathematics, Dynamical Systems, Nonlinear waves in Plasmas or other nonlinear media. It provides an introduction to the background of dynamical systems, waves, oscillations and plasmas. Basic concepts of dynamical systems and phase plane analysis for the study of dynamical properties of nonlinear waves in plasmas are presented. Different kinds of waves in plasmas are introduced. Reductive perturbative technique and its applications to derive different kinds of nonlinear evolution equations in plasmas are discussed. Analytical wave solutions of these nonlinear evolution equations are presented using the concept of bifurcation theory of planar dynamical systems in a very simple way. Bifurcations of both small and arbitrary amplitudes of various nonlinear acoustic waves in plasmas are presented using phase plots and time-series plots. Super nonlinear waves and its bifurcation behaviour are discussed for various plasma systems. Multiperiodic, quasiperiodic and chaotic motions of nonlinear plasma waves are discussed in presence of external periodic force. Multistability of plasma waves is investigated. Stable oscillation of plasma waves is also presented in dissipative plasmas. The book is meant for undergraduate and postgraduate students studying plasma physics. It will also serve a reference to the researchers, scientists and faculties to pursue the dynamics of nonlinear waves and its properties in plasmas. It describes the concept of dynamical systems and is useful in understanding exciting features, such as solitary wave, periodic wave, supernonlinear wave, chaotic, quasiperiodic and coexisting structures of nonlinear waves in plasmas. The concepts and approaches, discussed in the book, will also help the students and professionals to study such features in other nonlinear media.
| Author | : Y. H. Ichikawa |
| Publisher | : Allied Publishers |
| Total Pages | : 360 |
| Release | : 2002 |
| Genre | : Chaotic behavior in systems |
| ISBN | : 9788177642346 |
Download Chaos and Structure in Nonlinear Plasmas Book in PDF, ePub and Kindle
| Author | : Andrei V. Gaponov-Grekhov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 250 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642742890 |
Download Nonlinear Waves 1 Book in PDF, ePub and Kindle
Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The first volume starts with a historical overview of nonlinear dynamics from Poincaré to the present day and touches topics like attractors, nonlinear oscillators and waves, turbulence, pattern formation, and dynamics of structures in nonequilibrium dissipative media. It then deals with structures, bistabilities, instabilities, chaos, dynamics of defects in 1d systems, self-organizations, solitons, spatio-temporal structures and wave collapse in optical systems, lasers, plasmas, reaction-diffusion systems and solids.
| Author | : Y Elskens |
| Publisher | : CRC Press |
| Total Pages | : 329 |
| Release | : 2019-09-17 |
| Genre | : Science |
| ISBN | : 1420033956 |
Download Microscopic Dynamics of Plasmas and Chaos Book in PDF, ePub and Kindle
Microscopic Dynamics of Plasmas and Chaos discusses the resonant wave-particle interaction in plasmas, provides the tools for chaotic Hamiltonian dynamics, and describes a turbulent macroscopic system through the chaotic classical mechanics of the corresponding N-body problem. The book begins with the fundamentals of N-body dynamics, followed by a
| Author | : Santo Banerjee |
| Publisher | : Springer Nature |
| Total Pages | : 1433 |
| Release | : 2022-10-06 |
| Genre | : Science |
| ISBN | : 3030997928 |
Download Nonlinear Dynamics and Applications Book in PDF, ePub and Kindle
This book covers recent trends and applications of nonlinear dynamics in various branches of society, science, and engineering. The selected peer-reviewed contributions were presented at the International Conference on Nonlinear Dynamics and Applications (ICNDA 2022) at Sikkim Manipal Institute of Technology (SMIT) and cover a broad swath of topics ranging from chaos theory and fractals to quantum systems and the dynamics of the COVID-19 pandemic. Organized by the SMIT Department of Mathematics, this international conference offers an interdisciplinary stage for scientists, researchers, and inventors to present and discuss the latest innovations and trends in all possible areas of nonlinear dynamics.
| Author | : V. Tsytovich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 344 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1468417886 |
Download Nonlinear Effects in Plasma Book in PDF, ePub and Kindle
For some time now there has been an interest in the nop. linear interaction of electromagnetic waves in plasma [1,2]. But only in the last few years has the theory of nonlinear wave inter action effects undergone such vigorous development as to result in the formulation of clear phYSical concepts regarding the mech anisms of interaction. This development has been engendered by attempts to solve many of the plasma-physical problems accom panying the tremendous growth of experimental research [3]. The importance of nonlinear effects in modern plasma physics is dis cussed in detail in Chap. I. At this point we merely stress the fact that today the analysis of nonlinear effects is a practical ne cessity in any experiment involving plasma instabilities. We should also point out that plasma instabilities can assert them selves extensively in solids (solid state plasma) and play an im portant part in the study of cosmic plasma. Consequently, the problems of nonlinear wave interaction in plasma are of concern to those working in widely different areas of physics. Yet it is difficult to assimilate the results of investigations on nonlinear effects, owing to the complicated way in which the results of orig inal research are presented. In the present book the author hopes in some measure to fill the need for a text on the physics of non linear effects that is accessible to a fairly general audience.
| Author | : Andrei V. Gaponov-Grekhov |
| Publisher | : Springer |
| Total Pages | : 260 |
| Release | : 1989-08-10 |
| Genre | : Science |
| ISBN | : |
Download Nonlinear Waves 1 Book in PDF, ePub and Kindle
Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The first volume starts with a historical overview of nonlinear dynamics from Poincaré to the present day and touches topics like attractors, nonlinear oscillators and waves, turbulence, pattern formation, and dynamics of structures in nonequilibrium dissipative media. It then deals with structures, bistabilities, instabilities, chaos, dynamics of defects in 1d systems, self-organizations, solitons, spatio-temporal structures and wave collapse in optical systems, lasers, plasmas, reaction-diffusion systems and solids.
| Author | : B.K Shivamoggi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 213 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 940092772X |
Download Introduction to Nonlinear Fluid-Plasma Waves Book in PDF, ePub and Kindle
A variety of nonlinear effects occur in a plasma. First, there are the wave steepening effects which can occur in any fluid in which the propagation speed depends upon the wave-amplitude. In a dispersive medium this can lead to classes of nonlinear waves which may have stationary solutions like solitons and shocks. Because the plasma also acts like an inherently nonlinear dielectric resonant interactions among waves lead to exchange of energy among them. Further, an electromagnetic wave interacting with a plasma may parametrically excite other waves in the plasma. A large-amplitude Langmuir wave undergoes a modulational instability which arises through local depressions in plasma density and the corresponding increases in the energy density of the wave electric field. Whereas a field collapse occurs in two and three dimensions, in a one-dimensional case, spatially localized stationary field structures called Langmuir solitons can result. Many other plasma waves like upper-hybrid waves, lower-hybrid waves etc. can also undergo a modulational instability and produce localized field structures. A new type of nonlinear effect comes into play when an electromagnetic wave propagating through a plasma is strong enough to drive the electrons to relativistic speeds. This leads to a propagation of an electromagnetic wave in a normally overdense plasma, and the coupling of the electromagnetic wave to a Langmuir wave in the plasma. The relativistic mass variation of the electrons moving in an intense electromagnetic wave can also lead to a modulational instability of the latter.
| Author | : Prasanta Chatterjee |
| Publisher | : World Scientific |
| Total Pages | : 379 |
| Release | : 2022-12-19 |
| Genre | : Science |
| ISBN | : 9811265356 |
Download Waves And Wave Interactions In Plasmas Book in PDF, ePub and Kindle
This book is written in a lucid and systematic way for advanced postgraduates and researchers studying applied mathematics, plasma physics, nonlinear differential equations, nonlinear optics, and other engineering branches where nonlinear wave phenomena is essential.In sequential order of the book's development, readers will understand basic plasmas with elementary definitions of magnetized and unmagnetized plasmas, plasma modeling, dusty plasma and quantum plasma. Following which, the book describes linear and nonlinear waves, solitons, shocks and other wave phenomena, while solutions to common nonlinear wave equations are derived via standard techniques. Readers are introduced to elementary perturbation and non-perturbation methods. They will discover several evolution equations in different plasma situations as well as the properties of solitons in those environments. Pertaining to those equations, readers will learn about their higher order corrections, as well as their different forms and solutions in non-planar geometry. The book offers further studies on different types of collisions between solitons in plasma environment, phenomena of soliton turbulence as a consequence of multi-soliton interactions, properties of large amplitude solitary waves which are discovered via non-perturbative Sagdeev's Pseudopotential Approach, as well as the speed and shape of solitons. Finally, the book reveals possible future developments of research in this rich field.
