Chaos studies all that is messy, disorganized and incoherent;mathematically the chaos is a dynamic system governed by nonlinear differential equations. Chaos has an unpredictable behavior;its dynamical is very sensiti...Chaos studies all that is messy, disorganized and incoherent;mathematically the chaos is a dynamic system governed by nonlinear differential equations. Chaos has an unpredictable behavior;its dynamical is very sensitive to the initial conditions. Atypical chaotic system is the atmosphere;this limits the knowledge about its behavior;but with the advance in the computers, the results that are obtained with the chaos theory improved significantly;the description of atmosphera and its results have extended to other fields of the science, as the economy, health and others. The object of this work was to determine the atmospheric dynamics in the Riobamba city using the theory of chaos, with meteorological data of the meteorological station of the ESPOCH of one year (2010) of data that were processed with model TISEAN. The results determine a hyperchaotic system, according to the coefficients of Lyapunov.展开更多
As a spatially extended dissipative system with strong nonlinearity,the radio-frequency(rf)dielectric-barrier discharges(DBDs)at atmospheric pressure possess complex spatiotemporal nonlinear behaviors.In this paper,th...As a spatially extended dissipative system with strong nonlinearity,the radio-frequency(rf)dielectric-barrier discharges(DBDs)at atmospheric pressure possess complex spatiotemporal nonlinear behaviors.In this paper,the time-domain nonlinear behaviors of rf DBD in atmospheric argon are studied numerically by a onedimensional fluid model.Simulation results show that,under appropriate controlling parameters,the rf DBD can undergo a transition from single-period state to chaos through period doubling bifurcation with increasing discharge time,i.e.,the regular periodic oscillation and chaos can coexist in a long time series of the atmosphericpressure rf DBD.With increasing applied voltage amplitude,the duration of the periodic oscillation reduces gradually and chaotic zone increases,and finally the whole discharge series becomes completely chaotic state.This is different from conventional period doubling route to chaos.Moreover,the spatial characteristics of rf perioddoubling discharge and chaos,as well as the parameter range of various discharge behaviors occurring are also investigated in this paper.展开更多
文摘Chaos studies all that is messy, disorganized and incoherent;mathematically the chaos is a dynamic system governed by nonlinear differential equations. Chaos has an unpredictable behavior;its dynamical is very sensitive to the initial conditions. Atypical chaotic system is the atmosphere;this limits the knowledge about its behavior;but with the advance in the computers, the results that are obtained with the chaos theory improved significantly;the description of atmosphera and its results have extended to other fields of the science, as the economy, health and others. The object of this work was to determine the atmospheric dynamics in the Riobamba city using the theory of chaos, with meteorological data of the meteorological station of the ESPOCH of one year (2010) of data that were processed with model TISEAN. The results determine a hyperchaotic system, according to the coefficients of Lyapunov.
基金This work was supported by the National Natural Science Foundation of China under Grant No.10775026 and 50537020 and Science Research Foundation of Dalian University of Technology.
文摘As a spatially extended dissipative system with strong nonlinearity,the radio-frequency(rf)dielectric-barrier discharges(DBDs)at atmospheric pressure possess complex spatiotemporal nonlinear behaviors.In this paper,the time-domain nonlinear behaviors of rf DBD in atmospheric argon are studied numerically by a onedimensional fluid model.Simulation results show that,under appropriate controlling parameters,the rf DBD can undergo a transition from single-period state to chaos through period doubling bifurcation with increasing discharge time,i.e.,the regular periodic oscillation and chaos can coexist in a long time series of the atmosphericpressure rf DBD.With increasing applied voltage amplitude,the duration of the periodic oscillation reduces gradually and chaotic zone increases,and finally the whole discharge series becomes completely chaotic state.This is different from conventional period doubling route to chaos.Moreover,the spatial characteristics of rf perioddoubling discharge and chaos,as well as the parameter range of various discharge behaviors occurring are also investigated in this paper.
