Effective stability for generalized Hamiltonian systems
Effective stability for generalized Hamiltonian systems
摘要
An effective stability result for generalized Hamiltonian systems is obtained by applying the simultaneous approximation technique due to Lochak. Among these systems,dimensions of action variables and angle variables might be distinct.
An effective stability result for generalized Hamiltonian systems is obtained by applying the simultaneous approximation technique due to Lochak. Among these systems, dimensions of action variables and angle variables might be distinct.
基金
This work was partially supported by the National Natural Science Foundation of China(Grant No.10101030)
973 Project.
参考文献13
-
1Giancarlo Benettin,Poul Hjorth,Paolo Sempio.Exponentially Long Equilibrium Times in a One-Dimensional Collisional Model of Classical Gas[J].Journal of Statistical Physics (-).1999(5-6)
-
2Dario Bambusi.Nekhoroshev theorem for small amplitude solutions in nonlinear Schr?dinger equations[J].Mathematische Zeitschrift.1999(2)
-
3G. Gallavotti.Arnold‘s Diffusion in Isochronous Systems[J].Mathematical Physics Analysis and Geometry.1998(4)
-
4Francesco Fassò,Massimiliano Guzzo,Giancarlo Benettin.Nekhoroshev-Stability of Elliptic Equilibria of Hamiltonian Systems[J].Communications in Mathematical Physics.1998(2)
-
5Jürgen P?schel.Nekhoroshev estimates for quasi-convex hamiltonian systems[J].Mathematische Zeitschrift.1993(1)
-
6Antonio Giorgilli,Eduard Zehnder.Exponential stability for time dependent potentials[J].ZAMP Zeitschrift für angewandte Mathematik und Physik.1992(5)
-
7Parasyuk,I. O.On preservation of multidimensional invariant tori of Hamiltonian systems, Ukrain Mat[].Zh.1984
-
8Lochak,P.Arnold diffusion: A compendium of remarks and questions, Hamiltonian systems with three or more degree of freedom(S’Agaro, 1995) , in NATO Adv.Sci. Inst. Ser.C Math. Phys. Sci. 533, Dordrecht: Kluwer Acad[].Publ.1999
-
9Yoccoz,J.C.Travaux de Herman sur les tores invariants[].Asterisque.1992
-
10Cong Fuzhong,Li Yong.Existence of higher dimensional invariant tori for Hamiltonian systems, J.Math[].Anal Appl.1998
-
1施志诚,高为炳.STABILITY OF INTERVAL PARAMETER MATRICES[J].Chinese Science Bulletin,1989,34(1):12-14.
-
2XIAO Yang\ DU Xiyu Institute of Information Science, Northern Northern Jiaotong University, Beijing, 100044 Rolf Unbehuen is with Lehrstuhl f Allgemeine und Theoretische Elektrotechnik UniversitT Erlangen Nrnberg, Cauerstr.7, 91058, Germany.Improved 2-D Stability Margin Test for 2-D Discrete Systems[J].Systems Science and Systems Engineering,1998,8(2):100-105. 被引量:3
-
3Philosophization of Chaology and Its Applying Prospect[J].Systems Science and Systems Engineering,1997,7(2):250-256.
-
4A Generalized Risk-Return Model for Project Selection[J].Systems Science and Systems Engineering,1997,7(4):2-5. 被引量:1
-
5WEN Xiangcai and LIU Yongqing(Department of Automation,South China University of Technology Guangzhou, 510641.P.R.China).The Stabilization of Discrete Time Singular VariableStructure System with Disturbance[J].Systems Science and Systems Engineering,1994,4(4):289-297.
-
6Estimation and Hypothesis Testing of Generalized Cointegrating Vectors in A Generalized Cointegrated System[J].Systems Science and Systems Engineering,1997,7(4):115-122.
-
7Simultaneous Energy and Water Integration for Multi-contaminants Systems(摘要)[J].华东理工大学学报(自然科学版),2010,36(6):824-824.
-
8PENG Zaiyun,ZHAO Yong,YANG Xinmin.Continuity of Solution Mappings for Parametric Generalized Set-Valued Weak Vector Equilibrium Problems[J].Journal of Systems Science & Complexity,2017,30(2):378-391.
-
9Gary Wong,Shihua Li,Lei Liu,Yingxia Liu,Yuhai Bi.Zika virus in the testes: should we be worried?[J].Protein & Cell,2017,8(3):162-164. 被引量:1