In this paper, we characterize all of the Darboux polynomials of the L system and prove that the system is not algebraically integrable, using the weight homogeneous polynomials and the method of characteristic curves...In this paper, we characterize all of the Darboux polynomials of the L system and prove that the system is not algebraically integrable, using the weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations.展开更多
This paper proposes the concept of generalized L systems, GL systems for short, which can describe asynchronized concurrent phenomena. We have proved that the GL systems are proper extensions of the traditional L syst...This paper proposes the concept of generalized L systems, GL systems for short, which can describe asynchronized concurrent phenomena. We have proved that the GL systems are proper extensions of the traditional L systems. We have also defined a classification of GL systems and proved a sufficient and necessary condition for the equivalence of two subclasses of GL systems: two GPDOL (a class of deterministic GL systems) systems L[ m1, m2, ??? mj] and L[ n1, n2, ??? nk] are e-quivalent, iff k = j and there exists a common divisor g of all mi and a common divisor h of all nj such that (?) i: mi/g = nj/h.展开更多
The importance of L inverse process is emphasized and an algorithm is given to realize PO0L inverse process. On the basis of algorithm analysis, this note discusses the possibility of apply-ing L inverse process to da...The importance of L inverse process is emphasized and an algorithm is given to realize PO0L inverse process. On the basis of algorithm analysis, this note discusses the possibility of apply-ing L inverse process to data compression and the difficulties in doing that.展开更多
基金supported by the NNSF of China grant No.10231020
文摘In this paper, we characterize all of the Darboux polynomials of the L system and prove that the system is not algebraically integrable, using the weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations.
基金This work was partially supported by Pre-973 Project 2001 CCA03000, the National Natural ScienceFoundation of China (Grant No. 69733020) Brain and Mind Foundation of the Chinese Academy of Sciences, Innovation Foundation of AMSS, IOM and ICT.
文摘This paper proposes the concept of generalized L systems, GL systems for short, which can describe asynchronized concurrent phenomena. We have proved that the GL systems are proper extensions of the traditional L systems. We have also defined a classification of GL systems and proved a sufficient and necessary condition for the equivalence of two subclasses of GL systems: two GPDOL (a class of deterministic GL systems) systems L[ m1, m2, ??? mj] and L[ n1, n2, ??? nk] are e-quivalent, iff k = j and there exists a common divisor g of all mi and a common divisor h of all nj such that (?) i: mi/g = nj/h.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 69972045) .
文摘The importance of L inverse process is emphasized and an algorithm is given to realize PO0L inverse process. On the basis of algorithm analysis, this note discusses the possibility of apply-ing L inverse process to data compression and the difficulties in doing that.
