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Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 页码: 32
Authors:  Sun, Geng;  Gan, Siqing;  Liu, Hongyu;  Shang, Zaijiu
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Key words  Runge-Kutta method  symmetric  symplectic  adjoint  high-order  explicit method  
ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 卷号: 39, 期号: 7, 页码: 4225-4257
Authors:  Li, Xuemei;  Shang, Zaijiu
Favorite  |  View/Download:134/0  |  Submit date:2020/01/10
Invariant torus  small frequency  degeneracy  finite differentiability  
Quasi-Periodic Solutions for Differential Equations with an Elliptic-Type Degenerate Equilibrium Point Under Small Perturbations 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2019, 卷号: 31, 期号: 2, 页码: 653-681
Authors:  Li, Xuemei;  Shang, Zaijiu
Favorite  |  View/Download:124/0  |  Submit date:2020/01/10
Delay differential equation  Degenerate equilibrium point  Quasi-periodic solution  Perturbation  
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 9, 页码: 1567-1588
Authors:  Ding, Zhaodong;  Shang, Zaijiu
Favorite  |  View/Download:134/0  |  Submit date:2018/10/07
Hamiltonian systems  symplectic integrators  KAM theory  invariant tori  twist symplectic mappings  Russmann's non-degeneracy  
numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems 期刊论文
sciencechinamathematics, 2018, 卷号: 61, 期号: 9, 页码: 1567
Authors:  Ding Zhaodong;  Shang Zaijiu
Favorite  |  View/Download:124/0  |  Submit date:2020/01/10
A New Method for Channel Availability Analysis and the Associated Policy Design for Selection of Channel Sensing Order in CRNs 期刊论文
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2016, 卷号: 64, 期号: 9, 页码: 2443-2458
Authors:  Jiang, Ningning;  Hua, Junbo;  Shang, Zaijiu;  Yang, Kehu
Favorite  |  View/Download:87/0  |  Submit date:2018/07/30
Cognitive radio  channel availability analysis  sensing policy  primary network  idle probability  
Detection and Leasing of Joint Space and Spectrum Opportunities by Multiple Secondary Network Operators in Cognitive Radio Systems 期刊论文
JOURNAL OF SIGNAL PROCESSING SYSTEMS FOR SIGNAL IMAGE AND VIDEO TECHNOLOGY, 2016, 卷号: 83, 期号: 2, 页码: 293-308
Authors:  Li, Guimin;  Shang, Zaijiu;  Yang, Kehu
Favorite  |  View/Download:153/0  |  Submit date:2018/07/30
Fifth generation (5G) wireless networks  Cognitive radio  Detection probability  Orthogonal beams  Spectrum leasing  Differential game  
INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM 期刊论文
Journal of Computational Mathematics, 2015, 卷号: 33, 期号: 5, 页码: 468
Authors:  He Yang;  Sun Yajuan;  Shang Zaijiu
Favorite  |  View/Download:112/0  |  Submit date:2018/07/30
Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2011, 卷号: 217, 期号: 13, 页码: 6105-6114
Authors:  Ding, Xiaohua;  Liu, Hongyu;  Shang, Zaijiu;  Sun, Geng
Favorite  |  View/Download:89/0  |  Submit date:2018/07/30
Symplectic Runge-Kutta method  Symplectic partitioned Runge-Kutta method  Equilibrium structure  Composition method  Stability  
Volume-preserving maps, source-free systems and their local structures 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 卷号: 39, 期号: 19, 页码: 5601-5615
Authors:  Shang, ZJ
Favorite  |  View/Download:84/0  |  Submit date:2018/07/30