A new approach, the conditional nonlinear optimal perturbation (CNOP) is introduced to study the predictability of El Ni駉-Southern Oscillation (ENSO) using a theoretical coupled ocean-atmosphere model. The difference...A new approach, the conditional nonlinear optimal perturbation (CNOP) is introduced to study the predictability of El Ni駉-Southern Oscillation (ENSO) using a theoretical coupled ocean-atmosphere model. The differences between CNOP and linear singular vector (LSV) are demonstrated. The results suggest that the nonlinear model and CNOP are superior in determining error growth for studying predictability of the ENSO. In particular, the CNOP approach is used to explore the nature of the 憇pring predictability barrier?in ENSO prediction.展开更多
The El Nio/La Nia and the Southern Oscillation(ENSO)is an interan- nual phenomenon involved in the tropical Pacific ocean-atmosphere interactions.In this article,the aim is to create an asymptotic solving method o...The El Nio/La Nia and the Southern Oscillation(ENSO)is an interan- nual phenomenon involved in the tropical Pacific ocean-atmosphere interactions.In this article,the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models.And on the basis of a class of oscillator of ENSO models,using the method of homotopic mapping,the approximation of solution of corresponding problem is stud- ied.It is proved from the results that homotopic method can be used for analyzing the SST anomaly...展开更多
The El Nio/La Nia and the Southern Oscillation(ENSO)is an interan- nual phenomenon involved in the tropical Pacific ocean-atmosphere interactions.In this article,the aim is to create an asymptotic solving method of no...The El Nio/La Nia and the Southern Oscillation(ENSO)is an interan- nual phenomenon involved in the tropical Pacific ocean-atmosphere interactions.In this article,the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models.And on the basis of a class of oscillator of ENSO models,using the method of homotopic mapping,the approximation of solution of corresponding problem is stud- ied.It is proved from the results that homotopic method can be used for analyzing the SST anomaly...展开更多
The El Nio/La Nia and the Southern Oscilla-tion are an interannual phenomenon involved in the tropicalPacific Ocean-atmosphere interactions. In this paper, basedon a kind of simple coupled ocean-atmosphere model forEN...The El Nio/La Nia and the Southern Oscilla-tion are an interannual phenomenon involved in the tropicalPacific Ocean-atmosphere interactions. In this paper, basedon a kind of simple coupled ocean-atmosphere model forENSO, using the perturbed theory and method, the asymp-totic behavior of solution of corresponding problem is stud-ied. It is proved from the results that the trajectories of phaseplane for coupled ocean-atmosphere model ultimately tend tothe stable attractors separately.展开更多
This paper considers a class of oscillator for the El Nino/La Ninia-southern oscillation （ENSO） model. By using the homotopic mapping method, it obtains approximations of the solution for the ENSO model.
A class of oscillator of the EI Nifio-Southern oscillation model is considered. Using Mawhin＇s continuation theorem, a result on the existence of periodic solutions for ENSO model is obtained.
A class of recharge–discharge oscillator model for the El Ni？o/Southern Oscillation （ENSO） is considered. A stable limit cycle is obtained by transforming the ENSO model into the van der Pol-Duffing equation. We p...A class of recharge–discharge oscillator model for the El Ni？o/Southern Oscillation （ENSO） is considered. A stable limit cycle is obtained by transforming the ENSO model into the van der Pol-Duffing equation. We proved that there exists periodic oscillations in the ENSO recharge–discharge oscillator model.展开更多
In this paper,we proposes and analyzes the mixed 4th-order Runge-Kutta scheme of conditional nonlinear perturbation(CNOP)approach for the EI Ni˜no-Southern Oscillation(ENSO)model.This method consists of solving the EN...In this paper,we proposes and analyzes the mixed 4th-order Runge-Kutta scheme of conditional nonlinear perturbation(CNOP)approach for the EI Ni˜no-Southern Oscillation(ENSO)model.This method consists of solving the ENSO model by using a mixed 4th-order Runge-Kutta method.Convergence,the local and global truncation error of this mixed 4th-order Runge-Kutta method are proved.Furthermore,optimal control problem is developed and the gradient of the cost function is determined.展开更多
基金supported by the National Key Basic Research Proiect(Grant No.G1998040910)the National Natural Science Foundation of China(Grant Nos.40023001 and 40075015)of the Chinese Academy of Sciences (Grant No.KZCX2-208).
文摘A new approach, the conditional nonlinear optimal perturbation (CNOP) is introduced to study the predictability of El Ni駉-Southern Oscillation (ENSO) using a theoretical coupled ocean-atmosphere model. The differences between CNOP and linear singular vector (LSV) are demonstrated. The results suggest that the nonlinear model and CNOP are superior in determining error growth for studying predictability of the ENSO. In particular, the CNOP approach is used to explore the nature of the 憇pring predictability barrier?in ENSO prediction.
基金Supported by the National Natural Science Foundation of China(40676016 and 10471039)+6 种基金 the State Key Program for Basics Research of China(2003CB415101-03 and2004CB418304) the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221) in part by E-Insitutesof Shanghai Municipal Education Commission(N.E03004) the Natural Science Foudation of Zhejiangnm,China(Y606268)
文摘The El Nio/La Nia and the Southern Oscillation(ENSO)is an interan- nual phenomenon involved in the tropical Pacific ocean-atmosphere interactions.In this article,the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models.And on the basis of a class of oscillator of ENSO models,using the method of homotopic mapping,the approximation of solution of corresponding problem is stud- ied.It is proved from the results that homotopic method can be used for analyzing the SST anomaly...
基金Foundation item: Supported by important study project of the National Natural Science Foundation of China (No. 90211004) by the "Hundred Talent Project" of Chinese Academy of Sciences.
基金Supported by the National Natural Science Foundation of China(40676016 and 10471039)the State Key Program for Basics Research of China(2003CB415101-03 and2004CB418304)+2 种基金the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221)in part by E-Insitutesof Shanghai Municipal Education Commission(N.E03004)the Natural Science Foudation of Zhejiangnm,China(Y606268)
文摘The El Nio/La Nia and the Southern Oscillation(ENSO)is an interan- nual phenomenon involved in the tropical Pacific ocean-atmosphere interactions.In this article,the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models.And on the basis of a class of oscillator of ENSO models,using the method of homotopic mapping,the approximation of solution of corresponding problem is stud- ied.It is proved from the results that homotopic method can be used for analyzing the SST anomaly...
文摘The El Nio/La Nia and the Southern Oscilla-tion are an interannual phenomenon involved in the tropicalPacific Ocean-atmosphere interactions. In this paper, basedon a kind of simple coupled ocean-atmosphere model forENSO, using the perturbed theory and method, the asymp-totic behavior of solution of corresponding problem is stud-ied. It is proved from the results that the trajectories of phaseplane for coupled ocean-atmosphere model ultimately tend tothe stable attractors separately.
基金Project supported by the National Natural Science Foundation of China (Grant Nos 40676016 and 40876010)the State Key Development Program for Basic Research of China (Grant Nos 2003CB415101-03 and 2004CB418304)+1 种基金the Key Innovation Project of Chinese Academy of Sciences (Grant No KZCX2-YW-Q03-08)the LASG State Key Laboratory Special Fund and in part by E-Institutes of Shanghai Municipal Education Commission (Grant No E03004)
文摘This paper considers a class of oscillator for the El Nino/La Ninia-southern oscillation （ENSO） model. By using the homotopic mapping method, it obtains approximations of the solution for the ENSO model.
基金Project supported by the National Natural Science Foundation of China (Grant No. 40676016)the Natural Science Foundationof Jiangsu Province of China (Grant Nos. BK2009105 and BK2008119)+2 种基金the Natural Science Foundation of Jiangsu Education Committee,China (Grant Nos. 09kjd110001 and 08kjb110011)Key Natural Science Foundation by the Bureau of Education of Anhui Province of China (Grant No. KJ2008A05ZC)Jiangsu Teachers University of Technology Foundation (Grant No. KYY08033)
文摘A class of oscillator of the EI Nifio-Southern oscillation model is considered. Using Mawhin＇s continuation theorem, a result on the existence of periodic solutions for ENSO model is obtained.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.40975028 and 41175052)
文摘A class of recharge–discharge oscillator model for the El Ni？o/Southern Oscillation （ENSO） is considered. A stable limit cycle is obtained by transforming the ENSO model into the van der Pol-Duffing equation. We proved that there exists periodic oscillations in the ENSO recharge–discharge oscillator model.
基金supported in part by NSF of China(No.11371031),Technology Infrastructure Work(No.2014FY210100)Baoji Science and Technology Plan Projects(No.14SFGG-2-7),and the Key Project of Baoji University of Arts and Sciences(No.ZK15033).
文摘In this paper,we proposes and analyzes the mixed 4th-order Runge-Kutta scheme of conditional nonlinear perturbation(CNOP)approach for the EI Ni˜no-Southern Oscillation(ENSO)model.This method consists of solving the ENSO model by using a mixed 4th-order Runge-Kutta method.Convergence,the local and global truncation error of this mixed 4th-order Runge-Kutta method are proved.Furthermore,optimal control problem is developed and the gradient of the cost function is determined.
