We introduce anticipating quadrant and symmetric integrals in the plane, and establish the associated chain rules which are the same as the deterministic ones. In particular, we deduce the relation between quadrant in...We introduce anticipating quadrant and symmetric integrals in the plane, and establish the associated chain rules which are the same as the deterministic ones. In particular, we deduce the relation between quadrant integrals, symmetric integral, and Skorohod integral with respect to two-parameter Wiener processes.展开更多
How to predict the dynamics of nonlinear chaotic systems is still a challenging subject with important real-life applications. The present paper deals with this important yet difficult problem via a new scheme of anti...How to predict the dynamics of nonlinear chaotic systems is still a challenging subject with important real-life applications. The present paper deals with this important yet difficult problem via a new scheme of anticipating synchronization. A global, robust, analytical and delay-independent sufficient condition is obtained to guarantee the existence of anticipating synchronization manifold theoretically in the framework of the Krasovskii-Lyapunov theory. Different from ＇traditional techniques （or regimes）＇ proposed in the previous literature, the present scheme guarantees that the receiver system can synchronize with the future state of a transmitter system for an arbitrarily long anticipation time, which allows one to predict the dynamics of chaotic transmitter at any point of time if necessary. Also it is simple to implement in practice. A classical chaotic system is employed to demonstrate the application of the proposed scheme to the long-term prediction of chaotic states.展开更多
Chen Muhua (L4), Vice Chairperson of the Standing Committee of the National People’s Congress and President of the ACWF, Wang Zhaoguo (R3), Minister of United Front, Lu Ping (L3), Director of the Hong Kong and Macao ...Chen Muhua (L4), Vice Chairperson of the Standing Committee of the National People’s Congress and President of the ACWF, Wang Zhaoguo (R3), Minister of United Front, Lu Ping (L3), Director of the Hong Kong and Macao Affairs Office of the State Council, Huang Qizao (L2), Vice President and first member of the ACWF Secretariat, and Zhao Di (R2), Vice President and member of the ACWF Secretariat with Ms. Peggyp Lam, head of the Hona Kona and Macao Women’s Visitina Group.展开更多
Reading is a process in which the reader must be actively involved. You must use what knowledge you can gain fromthe text and what you knows about the world in general in order to infer meanings and other sorts of inf...Reading is a process in which the reader must be actively involved. You must use what knowledge you can gain fromthe text and what you knows about the world in general in order to infer meanings and other sorts of information. This paper willputs forward some skills for reading comprehension.展开更多
This paper introdnces some concepts of conditional stability of stochasticVolterra equations with anticipating kernel. Snfficient conditions of these types of sta-bility are established via Lyapunov funciton.
In the 2010 State of the Union Address in January, U.S. President Barack Obama set a goal of doubling U.S. exports over the next five years, "an increase that will support 2 million jobs
For a backward stochastic differential equation(BSDE,for short),when the generator is not progressively measurable,it might not admit adapted solutions,shown by an example.However,for backward stochastic Volterra inte...For a backward stochastic differential equation(BSDE,for short),when the generator is not progressively measurable,it might not admit adapted solutions,shown by an example.However,for backward stochastic Volterra integral equations(BSVIEs,for short),the generators are allowed to be anticipating.This gives,among other things,an essential difference between BSDEs and BSVIEs.Under some proper conditions,the well-posedness of such BSVIEs is established.Further,the results are extended to path-dependent BSVIEs,in which the generators can depend on the future paths of unknown processes.An additional finding is that for path-dependent BSVIEs,in general,the situation of anticipating generators is not avoidable,and the adaptedness condition similar to that imposed for anticipated BSDEs by Peng−Yang[22]is not necessary.展开更多
文摘We introduce anticipating quadrant and symmetric integrals in the plane, and establish the associated chain rules which are the same as the deterministic ones. In particular, we deduce the relation between quadrant integrals, symmetric integral, and Skorohod integral with respect to two-parameter Wiener processes.
基金Project supported by the National Natural Science Foundation of China （Grant Nos 10472091 and 10502042） and the Scientific and Technological Innovation Foundation for Young Teachers of Northwestern Polytechnical University, China.
文摘How to predict the dynamics of nonlinear chaotic systems is still a challenging subject with important real-life applications. The present paper deals with this important yet difficult problem via a new scheme of anticipating synchronization. A global, robust, analytical and delay-independent sufficient condition is obtained to guarantee the existence of anticipating synchronization manifold theoretically in the framework of the Krasovskii-Lyapunov theory. Different from ＇traditional techniques （or regimes）＇ proposed in the previous literature, the present scheme guarantees that the receiver system can synchronize with the future state of a transmitter system for an arbitrarily long anticipation time, which allows one to predict the dynamics of chaotic transmitter at any point of time if necessary. Also it is simple to implement in practice. A classical chaotic system is employed to demonstrate the application of the proposed scheme to the long-term prediction of chaotic states.
文摘Chen Muhua (L4), Vice Chairperson of the Standing Committee of the National People’s Congress and President of the ACWF, Wang Zhaoguo (R3), Minister of United Front, Lu Ping (L3), Director of the Hong Kong and Macao Affairs Office of the State Council, Huang Qizao (L2), Vice President and first member of the ACWF Secretariat, and Zhao Di (R2), Vice President and member of the ACWF Secretariat with Ms. Peggyp Lam, head of the Hona Kona and Macao Women’s Visitina Group.
文摘Reading is a process in which the reader must be actively involved. You must use what knowledge you can gain fromthe text and what you knows about the world in general in order to infer meanings and other sorts of information. This paper willputs forward some skills for reading comprehension.
基金Supported by Natural Science Foundation of Beijing (1022004)
文摘This paper introdnces some concepts of conditional stability of stochasticVolterra equations with anticipating kernel. Snfficient conditions of these types of sta-bility are established via Lyapunov funciton.
文摘In the 2010 State of the Union Address in January, U.S. President Barack Obama set a goal of doubling U.S. exports over the next five years, "an increase that will support 2 million jobs
基金Hanxiao Wang would like to thank Chenchen Mou(of City University of Hong Kong)for some useful discussionsJiongmin Yong is supported in part by NSF(Grant No.DMS-1812921)+1 种基金Chao Zhou is supported by NSFC(Grant No.11871364)Singapore MOE AcRF(Grant Nos.A-800453-00-00,R-146-000-271-112 and R-146-000-284-114).
文摘For a backward stochastic differential equation(BSDE,for short),when the generator is not progressively measurable,it might not admit adapted solutions,shown by an example.However,for backward stochastic Volterra integral equations(BSVIEs,for short),the generators are allowed to be anticipating.This gives,among other things,an essential difference between BSDEs and BSVIEs.Under some proper conditions,the well-posedness of such BSVIEs is established.Further,the results are extended to path-dependent BSVIEs,in which the generators can depend on the future paths of unknown processes.An additional finding is that for path-dependent BSVIEs,in general,the situation of anticipating generators is not avoidable,and the adaptedness condition similar to that imposed for anticipated BSDEs by Peng−Yang[22]is not necessary.
