In this paper a nonlinear model of convective and inertial motion of atmosphere with damping is studied with Melnikov's function method. The results show that in the atmospheric motion under periodic forcing chaos...In this paper a nonlinear model of convective and inertial motion of atmosphere with damping is studied with Melnikov's function method. The results show that in the atmospheric motion under periodic forcing chaos can occur independently whether the atmospheric motion is stable or not; and it is the key to produce chaos that the distribution of relevant physical quantity is nonlinear and periodically drives exists. The formulae calculating the parameter ranger in which chaos occur are given as well.展开更多
We report on an application of gas-kinetic BGK scheme to the computation of turbulent compressible convection in the stellar interior. After incorporating the Sub-grid Scale (SGS) turbulence model into the BGK schem...We report on an application of gas-kinetic BGK scheme to the computation of turbulent compressible convection in the stellar interior. After incorporating the Sub-grid Scale (SGS) turbulence model into the BGK scheme, we tested the effects of numerical parameters on the quantitative relationships among the thermodynamic variables, their fluctuations and correlations in a very deep, initially gravity-stratified stellar atmosphere. Comparison indicates that the thermal properties and dynamic properties are dominated by different aspects of numerical models separately. An adjustable Deardorff constant in the SGS model cu, = 0.25 and an amplitude of artificial viscosity in the gas-kinetic BGK scheme C2 = 0 are appropriate for the current study. We also calculated the densityweighted auto- and cross-correlation functions in Xiong's turbulent stellar convection theory based on which the gradient type of models of the non-local transport and the anisotropy of the turbulence were preliminarily studied. No universal relations or constant parameters were found for these models.展开更多
Nonlinear dynamics is a fascinating area that is intensely affecting a wide range of different disciplines of science and technology globally.The combination of different innovative topics of information security and ...Nonlinear dynamics is a fascinating area that is intensely affecting a wide range of different disciplines of science and technology globally.The combination of different innovative topics of information security and high-speed computing has added new visions into the behavior of complex nonlinear dynamical systems which uncovered amazing results even in the least difficult nonlinearmodels.The generation of complex actions froma very simple dynamical method has a strong relation with information security.The protection of digital content is one of the inescapable concerns of the digitally advanced world.Today,information plays an important role in everyday life and affects the surroundings rapidly.These digital contents consist of text,images,audio,and videos,respectively.Due to the vast usage of digital images in the number of social and web applications,its security is one of the biggest issues.In this work,we have offered an innovative image encryption technique based on present criteria of confusion and diffusion.The designed scheme comprises two major nonlinear dynamical systems.We have employed discrete fractional chaotic iterative maps to add confusion capability in our suggested algorithm and continuous chaotic Lorenz system.We have verified our offered scheme by using statistical analysis.The investigations under the statistical tests suggested that our proposed technique is quite reasonable for the security of digital data.展开更多
Our study aims to understand the variability of oceanic mesoscale eddies during contrasting(2009 and 2013)monsoon seasons and the role of such eddies on atmospheric deep convection over the Bay of Bengal(BoB).Oceanic ...Our study aims to understand the variability of oceanic mesoscale eddies during contrasting(2009 and 2013)monsoon seasons and the role of such eddies on atmospheric deep convection over the Bay of Bengal(BoB).Oceanic eddies are detected and tracked using sea surface height anomalies(SSHA),by employing the Okubo-Weiss parameter eddy detection method.Significant differences in the SSHA and eddy activity are evident during the contrasting monsoon years.During the year 2013(2009),anticyclonic eddies are predominant(absent)in the eastern BoB and longer(shorter)lifespans of cyclonic eddies are observed in the northern and western BoB.Analysis of time-longitude SSHA and zonal wind stress reveals the presence of strong(weak)equatorial downwelling Kelvin waves,coastal Kelvin waves and Rossby waves in the BoB during 2013(2009)Indian summer monsoon(ISM).The variability of eddies in the BoB during contrasting monsoons is attributed by the remote forcing effect of planetary scale waves.Our study is extended to investigate the associated atmospheric deep convection over the regions of cyclonic and anticyclonic eddies.Lag-correlations demonstrates that SSHA leads the outgoing longwave radiation by four days over anticyclonic eddy regions.Findings from the present study provide new insight into the internal dynamics of the ocean.展开更多
文摘In this paper a nonlinear model of convective and inertial motion of atmosphere with damping is studied with Melnikov's function method. The results show that in the atmospheric motion under periodic forcing chaos can occur independently whether the atmospheric motion is stable or not; and it is the key to produce chaos that the distribution of relevant physical quantity is nonlinear and periodically drives exists. The formulae calculating the parameter ranger in which chaos occur are given as well.
基金funded by NSFC through 10573022,10773029the national 973 program through 2007CB815406.
文摘We report on an application of gas-kinetic BGK scheme to the computation of turbulent compressible convection in the stellar interior. After incorporating the Sub-grid Scale (SGS) turbulence model into the BGK scheme, we tested the effects of numerical parameters on the quantitative relationships among the thermodynamic variables, their fluctuations and correlations in a very deep, initially gravity-stratified stellar atmosphere. Comparison indicates that the thermal properties and dynamic properties are dominated by different aspects of numerical models separately. An adjustable Deardorff constant in the SGS model cu, = 0.25 and an amplitude of artificial viscosity in the gas-kinetic BGK scheme C2 = 0 are appropriate for the current study. We also calculated the densityweighted auto- and cross-correlation functions in Xiong's turbulent stellar convection theory based on which the gradient type of models of the non-local transport and the anisotropy of the turbulence were preliminarily studied. No universal relations or constant parameters were found for these models.
基金The author Mohammad Mazyad Hazzazi extend his appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant no.R.G.P.2/150/42.
文摘Nonlinear dynamics is a fascinating area that is intensely affecting a wide range of different disciplines of science and technology globally.The combination of different innovative topics of information security and high-speed computing has added new visions into the behavior of complex nonlinear dynamical systems which uncovered amazing results even in the least difficult nonlinearmodels.The generation of complex actions froma very simple dynamical method has a strong relation with information security.The protection of digital content is one of the inescapable concerns of the digitally advanced world.Today,information plays an important role in everyday life and affects the surroundings rapidly.These digital contents consist of text,images,audio,and videos,respectively.Due to the vast usage of digital images in the number of social and web applications,its security is one of the biggest issues.In this work,we have offered an innovative image encryption technique based on present criteria of confusion and diffusion.The designed scheme comprises two major nonlinear dynamical systems.We have employed discrete fractional chaotic iterative maps to add confusion capability in our suggested algorithm and continuous chaotic Lorenz system.We have verified our offered scheme by using statistical analysis.The investigations under the statistical tests suggested that our proposed technique is quite reasonable for the security of digital data.
基金Naresh Krishna Vissa would like to acknowledge the Min-istry of Earth Sciences,Government of India for providing research grant(MoES/36/OOIS/Extra/46/2016).
文摘Our study aims to understand the variability of oceanic mesoscale eddies during contrasting(2009 and 2013)monsoon seasons and the role of such eddies on atmospheric deep convection over the Bay of Bengal(BoB).Oceanic eddies are detected and tracked using sea surface height anomalies(SSHA),by employing the Okubo-Weiss parameter eddy detection method.Significant differences in the SSHA and eddy activity are evident during the contrasting monsoon years.During the year 2013(2009),anticyclonic eddies are predominant(absent)in the eastern BoB and longer(shorter)lifespans of cyclonic eddies are observed in the northern and western BoB.Analysis of time-longitude SSHA and zonal wind stress reveals the presence of strong(weak)equatorial downwelling Kelvin waves,coastal Kelvin waves and Rossby waves in the BoB during 2013(2009)Indian summer monsoon(ISM).The variability of eddies in the BoB during contrasting monsoons is attributed by the remote forcing effect of planetary scale waves.Our study is extended to investigate the associated atmospheric deep convection over the regions of cyclonic and anticyclonic eddies.Lag-correlations demonstrates that SSHA leads the outgoing longwave radiation by four days over anticyclonic eddy regions.Findings from the present study provide new insight into the internal dynamics of the ocean.