Year: 1988
Type: dissertation
Abstract: The interaction of three nonlinearly coupled differential equations modelling the co-evolution of three natural electrostatic waves in a plasma is studied.The equilibria of the dynamical system are investigated qualitatively in the phase space.The dynamics is governed by certain parameters related to the growth and decay rates of the interacting waves and the phase mismatch.It is shown that the saturation of the interacting waves is possible for certain values of the parameters.The bifurcations of the equilibrium points to periodic orbits,period doubling bifurcations and chaotic solutions characteristic of a strange attractor are established for different values of the same parameters.It is shown that the tangent bifurcations from chaotic to periodic solutions can be explained on the one-dimensional map derivable from the original set of ordinary differential equations.An analytical derivation of the map substantiating the numerical study is presented.iii '4.12The points of Y,,(n+l) vs Yh(n).4.13 The phase space (8,z).4.14 h(u) vs. u.4.15 Graph of the attractor Y'(xt) for 6 = 2,v = 14.8.4.16 The curve Y'(xt) from eq.(2.29).4.17 The recurrence Yn+l vs. Yn from eq.(2.29).4.18 The recurrence Yn+l vs. Yn from the mapping.4.1 9 The strange attractor.viii
Source: Summit (Simon Fraser University)
Author: Salil K. Das
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W982740061