[en] A driven/damped nonlinear drift equation is solved numerically. In (amplitude, frequency Ω) space the properties of the solutions repeat in a selfsimilar way in cells of decreasing size for Ω → 0. Within each cell there are regions of constant, periodic, doubly periodic, etc. or chaotic energy E(t) for t → ∞. Regions of Ω with a 'high' and a 'low' branch solution of E also exist simultaneously, which gives rise to hysteresis for cyclically varied amplitude. Hopf bifurcations may take place on both branches. The width of the hystereses depends on the initial conditions. The space dependence of phi and its spectral properties are also studied. (orig./GG)

[en] The behavior of quantum states and observables of a quasi-integrable quantum system is studied. Sensitivity of the quantum states and nonperiodicity of the average value of observables at the degenerate points of energy levels are observed. The behavior demonstrates the quantum properties corresponding to the classical resonant tori with rational frequency ratio, where the global structure is easily destroyed by a small perturbation. Our result is helpful for further understanding the avoided crossing in hard chaotic quantum systems

[en] The generic properties of the nonlinear interaction of three driftwaves with finite kappasub(parallel) are investigated. The different types of stationary or quasi-stationary states are characterized by the bifurcation diagram in γ₁, kappa parameter space, where γ₁ measures the mode excitation and kappa the parallel wave number. The transition to turbulence corresponds exactly to the Ruelle-Takens picture: steady state -> periodic solution -> doubly periodic solution -> turbulence, in contrast to the periodic-doubling route usually observed in low-dimensional dynamic systems. (orig.)

[en] A nonlinear driven/damped differential equation is numerically studied in a parameter region where the energy tends to a constant, E_s, for t → ∞. It is found that E_s (ε) traces a hysteresis curve when the driving amplitude ε is cyclically varied. (orig./GG)

[en] By using eigenvalue analysis on the steady state of a system, it is shown that the appearance of bistability of wave packets in driven nonlinear drift waves is relevant to the reversal of phase velocity of a certain mode in the parameter space

[en] The nonlinear drift-wave equation driven by a sinusoidal wave is discussed in a coordinate system moving in the driving phase speed. It is shown that the hysteretic jump of the wave energy and its transition to periodic motions from the steady state can be described integrally by the perturbation method proposed. The saddle-node and Hopf bifurcations of certain resonance mode are responsible for them respectively. The frequency of the periodic oscillatory wave energy is relevant to the Eigen-frequency of the system, which is different from the one in the laboratory frame due to the Doppler shift and the nonlinearity

[en] Taking account of the transient thermoconduction process, the effect of heating of a high constant-current ion beam irradiation process is calculated by using of the finite difference method. From the temperature raise curve it is indicated that for the dose rate over the middle level (> 10¹³ cm^-2 · s^-1), the rapid ion implantation process will be non-steady. Therefore it is necessary to analyze the high current ion beam irradiation process by using of the transient thermoconduction equation. For the same dose, the variation of surface temperature with the ion energy is smooth in the low energy region (< 100 keV), whereas rather precipitous in the high energy region. Under the condition of large dose, it is a feasible method to decrease the temperature of wafer holder in order to reduce the surface temperature of the wafer

[en] As a result of self-organization due to its nonlinearity, a turbulent system can develop a collective imperfect phase synchronization that occurs intermittently among different spatial scales of the fluctuations relative to the unstable steady wave. The synchronization induces bursts in the total wave energy, and the interspike intervals display a power law distribution

[en] With models deduced from plasma systems, some phenomena in nonlinear wave systems are studied, such as solitons, gap solitary waves, bifurcations and transition to turbulence. The mechanism of bifurcations and control of chaos are also explored

[en] In the authors' previous work, a new mechanism is reported of transition from temporal chaos to spatiotemporal turbulence through a crisis. The crisis occurs if there exists a saddle steady wave, and the chaotic attractor of the perturbation wave collides the unstable orbit of the carrier saddle wave. In the present work the author shows that before the crisis all the perturbation modes are in bound states, while after the crisis one mode experiences on-off resonance with the carrier partial wave, it is no longer bounded in the potential well of the carrier one