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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Shivamoggi, B.K |
Nonlinear Dynamics and Chaotic Phenomena |
I05349 |
1997 |
eBook |
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| 2 |
Shivamoggi, B.K |
Introduction to Nonlinear Fluid-Plasma Waves |
I04935 |
1988 |
eBook |
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1.
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| Title | Nonlinear Dynamics and Chaotic Phenomena : An Introduction |
| Author(s) | Shivamoggi, B.K |
| Publication | Dordrecht, Springer Netherlands, 1997. |
| Description | XIII, 410 p : online resource |
| Abstract Note | FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines. In this approach, one represents the evolution of all possible states (positions and momenta) by the flow in phase space, or more efficiently, by mappings on manifolds with a symplectic geometry, and tries to understand qualitative features of this problem, rather than solving it explicitly. One important outcome of this line of inquiry is the discovery that vastly different physical systems can actually be abstracted to a few universal forms, like Mandelbrot's fractal and Smale's horse-shoe map, even though the underlying processes are not completely understood. This, of course, implies that much of the observed diversity is only apparent and arises from different ways of looking at the same system. Thus, modern nonlinear dynamics 1 is very much akin to classical thermodynamics in that the ideas and results appear to be applicable to vastly different physical systems. Chaos theory, which occupies a central place in modem nonlinear dynamics, refers to a deterministic development with chaotic outcome. Computers have contributed considerably to progress in chaos theory via impressive complex graphics. However, this approach lacks organization and therefore does not afford complete insight into the underlying complex dynamical behavior. This dynamical behavior mandates concepts and methods from such areas of mathematics and physics as nonlinear differential equations, bifurcation theory, Hamiltonian dynamics, number theory, topology, fractals, and others |
| ISBN,Price | 9789401724425 |
| Keyword(s) | 1. Classical and Continuum Physics
2. CLASSICAL MECHANICS
3. Continuum physics
4. DYNAMICAL SYSTEMS
5. DYNAMICS
6. EBOOK
7. EBOOK - SPRINGER
8. Heavy ions
9. MECHANICS
10. NUCLEAR PHYSICS
11. Nuclear Physics, Heavy Ions, Hadrons
12. VIBRATION
13. Vibration, Dynamical Systems, Control
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05349 |
|
|
On Shelf |
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|
2.
 | |
| Title | Introduction to Nonlinear Fluid-Plasma Waves |
| Author(s) | Shivamoggi, B.K |
| Publication | Dordrecht, Springer Netherlands, 1988. |
| Description | XI, 202 p : online resource |
| Abstract Note | 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 |
| ISBN,Price | 9789400927728 |
| Keyword(s) | 1. CLASSICAL MECHANICS
2. EBOOK
3. EBOOK - SPRINGER
4. Heavy ions
5. MATHEMATICAL PHYSICS
6. MECHANICS
7. NUCLEAR PHYSICS
8. Nuclear Physics, Heavy Ions, Hadrons
9. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I04935 |
|
|
On Shelf |
|
|
|
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