李祝春科研成果

基本信息 论文著作 讲授课程 English Version 新建主栏目 工作经历 名称 2020.12-至今 哈尔滨工业大学 教授 2017.04-至今 哈尔滨工业大学 博士生导师 2014.12-2020.12 哈尔滨工业大学 副教授 2014.04-至今 哈尔滨工业大学 硕士生导师 2011.09-2013.08 首尔国立大学 博士后 2011.03-2014.12 哈尔滨工业大学 讲师 教育经历 名称 2005.09-2011.01 哈尔滨工业大学数学系 获博士学位 2001.09-2005.07 哈尔滨工业大学数学系 获学士学位 研究领域 名称 集群动力学、群体智能及应用 MathSciNet Profile: MR: Li, Zhuchun - 912583 (ams.org) Researchgate Profile: https://www.researchgate.net/profile/Zhuchun_Li 论著 名称 36. (with X. Zhao and X. Xue) Unified approach for applications of oscillatory associative-memory networks with error-free retrieval, Physical Review E, 2023, 108: 014305. 35. (with X. Zhao and X. Xue) Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve: II. Nonorthogonal standard patterns and structural stability, SIAM Journal on Applied Dynamical Systems, 2022, 21: 102-136. 34. (with J. Cheng and J. Wu) Flocking in a two-agent Cucker-Smale model with large delay. Proceedings of the American Mathematical Society, 2021, 149(4): 1711-1721. 33. (with Y. Guo, D. Zhang, Q. Wang and D. Yu) Overviews on the applications of the Kuramoto model in modern power system analysis. International Journal of Electrical Power and Energy Systems, 2021, 129: 106804. 32. (with X. Zhao) Synchronization of a Kuramoto-like model with frustration for power grids. Networks and Heterogeneous Media, 2020, 15(3): 543-553. 31. (with X. Zhao and X. Xue) Stability in a Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve. SIAM Journal on Applied Dynamical Systems, 2020, 19(2): 1124-1159. 30. (with X. Zhao) Synchronization in Kuramoto oscillators for power grids with dynamic voltages. Nonlinearity, 2020, 33: 6624-6661. 29. (with S.-Y. Ha and X. Zhang) On the critical exponent of the one-dimensional Cucker-Smale model on a general graph. Mathematical Models and Methods in Applied Sciences, 2020, 30: 1653-1703. 28. (with S.-Y. Ha, D. Kim) Emergent flocking dynamics of the discrete thermodynamic Cucker-Smale model. Quarterly of Applied Mathematics, 2020, 78(4): 589-615. 27. (with Y.-P. Choi) Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings. Nonlinearity, 2019, 32: 559-583. 26. (with Y. Liu and X. Xue) Convergence and stability of generalized gradient systems by Lojasiewicz inequality with application in continuum Kuramoto model. Discrete and Continuous Dynamical Systems-A, 2019, 39: 345-367. 25. (with X. Xue) Convergence of analytic gradient-type systems with periodicity and its applications in Kuramoto models. Applied Mathematics Letters, 2019, 90: 194-201. 24. (with X. Zhao and X. Xue) Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring. Networks and Heterogeneous Media, 2018, 13: 323-337. 23. (with Y.-P. Choi) Emergent behavior of Cucker-Smale flocking particles with heterogeneous time delays. Applied Mathematics Letters, 2018, 86: 49-56. 22. (with S.-Y. Ha, J. Lee and J. Park) Emergent dynamics of Kuramoto oscillators with adaptive couplings: conservation law and fast learning. SIAM Journal on Applied Dynamical Systems, 2018, 17: 1560-1588. 21. (with S.-Y. Ha and J. Lee) Synchronous harmony in an ensemble of Hamiltonian mean-field oscillators and inertial Kuramoto oscillators. Chaos, 2018, 28: 113112. 20. (with S.-Y. Ha and J. Lee) Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators. Networks and Heterogeneous Media, 2017, 12(1): 1-24. 19. (with Y.-P. Choi and S.-Y. Ha) Emergent dynamics of the Cucker-Smale flocking model and its variants. Active Particles, Volume 1: Theory, Models, Applications, BIrkhauser-Springer (Boston) Book Chapter. 18. (with S.-Y. Ha) Uniqueness and well-ordering of emergent phase-locked states for the Kuramoto model with frustration and inertia. Mathematical Models and Methods in Applied Sciences, 2016, 26(2): 357-382. 17. (with X. Xue and D. Yu) On the Lojasiewicz exponent of Kuramoto model. Journal of Mathematical Physics, 2015, 56(2): 022704:1-20. 16. (with L. Ru and X. Xue) Cucker-Smale flocking with randomly failed interactions. Journal of the Franklin Institute, 2015, 352(3): 1099-1118. 15. (with S.-Y. Ha) On the Cucker-Smale flocking with alternating leaders. Quarterly of Applied Mathematics, 2015, 73: 693-709. 14. (with S.-Y. Ha and X. Xue) Emergent phenomena in an ensemble of Cucker-Smale particles under joint rooted leadership. Mathematical Models and Methods in Applied Sciences, 2014, 24(7): 1389-1419. 13. (with S.-Y. Ha and Y. Kim) Large-time dynamics of Kuramoto oscillators under the effect of inertia and frustration. SIAM Journal on Applied Dynamical Systems, 2014, 13(1): 466-492. 12. (with X. Xue and D. Yu) Synchronization and transient stability in power grids based on Lojasiewicz inequalities. SIAM Journal on Control and Optimization, 2014, 52(4): 2482-2511. 11. Effectual leadership in flocks with hierarchy and individual preference. Discrete and Continuous Dynamical Systems-A, 2014, 34: 3683-3702. 10. (with S.-Y. Ha) Complete synchronization of Kuramoto oscillators with hierarchical leadership. Communications in Mathematical Science, 2014, 12(3): 485-508. 9. (with Y.-P. Choi, S.-Y. Ha, X. Xue and S.-B. Yun) Complete entrainment of Kuramoto oscillators with inertia on networks. Journal of Differential Equations, 2014, 257: 2591-2621. 8. (with X. Xue) Cucker-Smale flocking under rooted leadership with free-will agents. Physica A, 2014, 410: 205-217. 7. (with S.-Y. Ha and X. Xue) A revisit to the consensus for linearized Vicsek model under joint rooted leadership via a special matrix. Networks and Heterogeneous Media, 2014, 9: 335-351. 6. (with S.-Y. Ha and Y. Kim) Asymptotic synchronous behavior of Kuramoto type models with frustrations. Networks and Heterogeneous Media, 2014, 9: 33-64. 5. (with S.-Y. Ha, M. Slemrod and X. Xue) Flocking behavior of the Cucker-Smale model under rooted leadership in a large coupling limit. Quarterly of Applied Mathematics, 2014, 72(4): 689-701. 4. (with S.-Y. Ha and X. Xue) Formation of phase-locked states in a population of locally interacting Kuramoto oscillators. Journal of Differential Equations, 2013, 255: 3053-3070. 3. (with X. Xue) Asymptotic stability analysis of a kind of switched positive linear discrete systems. IEEE Transactions on Automatic Control, 2010, 55(9): 2198-2203. 2. (with X. Xue) Outer synchronization of coupled networks using arbitrary coupling strength. Chaos, 2010, 20(2): 023106. 1. (with X. Xue) Cucker-Smale flocking under rooted leadership with fixed and switching topologies. SIAM Journal on Applied Mathematics, 2010, 70(8): 3156-3174. 论文期刊 论文标题 Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve: II. Nonorthogonal standard patterns and structural stability 作者 Zhuchun Li, Xiaoxue Zhao and Xiaoping Xue 发表时间 期刊名称 SIAM Journal on Applied Dynamical Systems 期卷 2022, 21: 102-136 简单介绍 论文标题 Flocking in A Two-agent Cucker-Smale Model with Large Delay 作者 Jianfei Cheng, Zhuchun Li*, Jianhong Wu 发表时间 期刊名称 Proceedings of the American Mathematical Society 期卷 2021, 149: 1711-1721 简单介绍 论文标题 Overviews on the applications of the Kuramoto model in modern power system analysis 作者 Yufeng Guo, Dongrui Zhang, Zhuchun Li, Qi Wang and Daren Yu 发表时间 期刊名称 International Journal of Electrical Power and Energy Systems 期卷 2021, 129: 106804 简单介绍 论文标题 Synchronization in adaptive Kuramoto oscillators for power grids with dynamic voltages 作者 Li Zhuchun, Zhao Xiaoxue 发表时间 期刊名称 Nonlinearity 期卷 2020, 33: 6624-6661 简单介绍 论文标题 On the critical exponent of the one-dimensional Cucker-Smale model on a general graph 作者 Ha Seung-Yeal, Li Zhuchun, Zhang Xiongtao 发表时间 期刊名称 Mathematical Models and Methods in Applied Sciences 期卷 2020, 30: 1653-1703 简单介绍 论文标题 Synchronization of a Kuramoto-like model for power grids with frustration 作者 Zhao Xiaoxue, Li Zhuchun* 发表时间 期刊名称 Networks and Heterogeneous Media 期卷 2020, 15(3): 543-553 简单介绍 论文标题 Stability in a Hebbian Network of Kuramoto Oscillators with Second-order Couplings for Binary Pattern Retrieve 作者 Zhao Xiaoxue, Li Zhuchun*, Xue Xiaoping 发表时间 期刊名称 SIAM Journal on Applied Dynamical Systems 期卷 2020, 19(2): 1124-1159 简单介绍 论文标题 Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings 作者 Choi Young-Pil, Li Zhuchun* 发表时间 期刊名称 Nonlinearity 期卷 2019, 32: 559-583. 简单介绍 论文标题 Convergence of analytic gradient-type systems with periodicity and its applications in Kuramoto models 作者 Li Zhuchun, Xue Xiaoping* 发表时间 期刊名称 Applied Mathematics Letters 期卷 2019, 90: 194-201. 简单介绍 论文标题 Convergence and stability of generalized gradient systems by Lojasiewicz inequality with application in continuum Kuramoto model 作者 Li Zhuchun, Liu Yi, Xue Xiaoping* 发表时间 期刊名称 Discrete and Continuous Dynamical Systems 期卷 2019, 39: 345-367. 简单介绍 论文标题 Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring 作者 Zhao Xiaoxue, Li Zhuchun*, Xue Xiaoping 发表时间 期刊名称 Networks and Heterogeneous Media 期卷 2018, 13: 323-337. 简单介绍 论文标题 Synchronous harmony in an ensemble of Hamiltonian meanfield oscillators and inertial Kuramoto oscillators 作者 Ha Seung-Yeal, Lee Jaeseung, Li Zhuchun 发表时间 期刊名称 Chaos 期卷 2018, 28: 113112. 简单介绍 论文标题 Emergent dynamics of Kuramoto oscillators with adaptive couplings: conservation law and fast learning 作者 Ha Seung-Yeal, Lee Jaeseung, Li Zhuchun, Park Jinyeong 发表时间 期刊名称 SIAM Journal on Applied Dynamical Systems 期卷 2018, 17: 1560-1588. 简单介绍 论文标题 Emergent behavior of Cucker-Smale flocking particles with heterogeneous time delays 作者 Choi Young-Pil, Li Zhuchun 发表时间 期刊名称 Applied Mathematics Letters 期卷 2018, 86: 49-56 简单介绍 论文标题 Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators 作者 Ha Sueng-Yeal, Lee Jaeseung, Li Zhuchun 发表时间 期刊名称 Networks and Heterogeneous Media 期卷 2017, 12(1): 1-24 简单介绍 论文标题 Uniqueness and well-ordering of emergent phase-locked states for the Kuramoto model with frustration and inertia 作者 Li Zhuchun, Ha Seung-Yeal 发表时间 期刊名称 Mathematical Models and Methods in Applied Sciences 期卷 2016, 26(2): 357-382 简单介绍 论文标题 On the Cucker-Smale flocking with alternating leaders 作者 Li Zhuchun, Ha Seung-Yeal 发表时间 期刊名称 Quarterly of Applied Mathematics 期卷 2015, 73: 693-709 简单介绍 论文标题 On the Lojasiewicz exponent of Kuramoto model 作者 Li Zhuchun, Xue Xiaoping*, Yu Daren 发表时间 期刊名称 Journal of Mathematical Physics 期卷 2015, 56(2): 022704 简单介绍 论文标题 Complete entrainment of Kuramoto oscillators with inertia on networks via gradient-like flow 作者 Choi Young-Pil*, Li Zhuchun, Ha Seung-Yeal, Xue Xiaoping, Yun Seok-Bae 发表时间 期刊名称 Journal of Differential Equations 期卷 2014, 257: 2591-2621 简单介绍 论文标题 Emergent phenomena in an ensemble of Cucker-Smale particles under joint rooted leadership 作者 Li Zhuchun, Ha Seung-Yeal, Xue Xiaoping 发表时间 期刊名称 Mathematical Models and Methods in Applied Sciences 期卷 2014, 24: 1389-1419 简单介绍 论文标题 Synchronization and transient stability in power grids based on Lojasiewicz inequalities 作者 Li Zhuchun, Xue Xiaoping, Yu Daren 发表时间 期刊名称 SIAM Journal on Control and Optimization 期卷 2014, 52(4): 2482-2511 简单介绍 论文标题 Effectual leadership in flocks with hierarchy and individual preference 作者 Li Zhuchun 发表时间 期刊名称 Discrete and Continuous Dynamical Systems- Series A 期卷 2014, 34(9): 3683-3702 简单介绍 论文标题 Large-time dynamics of kuramoto oscillators under the effects of inertia and frustration 作者 Ha Seung-Yeal, Kim Yongduck, Li Zhuchun 发表时间 期刊名称 SIAM Journal on Applied Dynamical Systems 期卷 2014, 13(1): 466-492 简单介绍 论文标题 Asymptotic synchronous behavior of kuramoto type models with frustrations 作者 Ha Seung-Yeal, Kim Yongduck, Li Zhuchun 发表时间 期刊名称 Networks and Heterogeneous Media 期卷 2014, 9(1): 33-64 简单介绍 论文标题 Cucker-Smale flocking under rooted leadership with free-will agents 作者 Li Zhuchun*, Xue Xiaoping 发表时间 期刊名称 Physica A 期卷 2014, 410: 205-217 简单介绍 论文标题 Complete synchronization of kuramoto oscillators with hierarchical leadership 作者 Ha Seung-Yeal, Li Zhuchun 发表时间 期刊名称 Communications in Mathematical Sciences 期卷 2014, 12(3): 485-508 简单介绍 论文标题 Formation of phase-locked states in a population of locally interacting Kuramoto oscillators 作者 Ha Seung-Yeal*, Li Zhuchun, Xue Xiaoping 发表时间 期刊名称 Journal of Differential Equations 期卷 2013, 255(9): 3053-3070 简单介绍 论文标题 Cucker-Smale Flocking under Rooted Leadership with Fixed and Switching Topologies 作者 Li Zhuchun, Xue Xiaoping 发表时间 期刊名称 SIAM Journal on Applied Mathematics 期卷 2010, 70(8): 3156-3174 简单介绍 论文标题 Asymptotic Stability Analysis of A Kind of Switched Positive Linear Discrete Systems 作者 Xue Xiaoping, Li Zhuchun 发表时间 期刊名称 IEEE Transactions on Automatic Control 期卷 2010, 55(9): 2198-2203 简单介绍 论文标题 Outer Synchronization of Coupled Networks Using Arbitrary Coupling Strength 作者 Li Zhuchun, Xue Xiaoping* 发表时间 期刊名称 Chaos 期卷 2010, 20(2): 023106 简单介绍 论文标题 作者 发表时间 期刊名称 期卷 简单介绍 论文标题 作者 发表时间 期刊名称 期卷 简单介绍 线性代数与空间解析几何 名称 面向本科生，秋季学期开课 现代数学基础 名称 研究生公共学位课，面向留学生纯英文授课，共32学时， 15春，15秋，16秋 应用泛函分析 名称 研究生学科基础课，共32学时， 18秋 Zhuchun Li's Profile 名称 2020.12 Professor, Harbin Insititute of Technology 2014.12 Associate Professor, Harbin Insititute of Technology 2011.09-2013.08 PostDoc, Seoul National University 2011.03 Lecturer(Assistant Professor), Harbin Insititute of Technology 2011.01 Ph.D, Harbin Insititute of Technology Research area: Multi-agent Systems, Collective Dynamics and Swarm Intelligence MathSciNet Profile: MR: Li, Zhuchun - 912583 (ams.org) Researchgate Profile: https://www.researchgate.net/profile/Zhuchun_Li Publications: 36. (with X. Zhao and X. Xue) Unified approach for applications of oscillatory associative-memory networks with error-free retrieval, Physical Review E, 2023. 35. (with X. Zhao and X. Xue) Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve: II. Nonorthogonal standard patterns and structural stability, SIAM Journal on Applied Dynamical Systems, 2022, 21: 102-136. 34. (with J. Cheng and J. Wu) Flocking in a two-agent Cucker-Smale model with large delay. Proceedings of the American Mathematical Society, 2021, 149(4): 1711-1721. 33. (with Y. Guo, D. Zhang, Q. Wang and D. Yu) Overviews on the applications of the Kuramoto model in modern power system analysis. International Journal of Electrical Power and Energy Systems, 2021, 129: 106804. 32. (with X. Zhao) Synchronization of a Kuramoto-like model with frustration for power grids. Networks and Heterogeneous Media, 2020, 15(3): 543-553. 31. (with X. Zhao and X. Xue) Stability in a Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve. SIAM Journal on Applied Dynamical Systems, 2020, 19(2): 1124-1159. 30. (with X. Zhao) Synchronization in Kuramoto oscillators for power grids with dynamic voltages. Nonlinearity, 2020, 33: 6624-6661. 29. (with S.-Y. Ha and X. Zhang) On the critical exponent of the one-dimensional Cucker-Smale model on a general graph. Mathematical Models and Methods in Applied Sciences, 2020, 30: 1653-1703. 28. (with S.-Y. Ha, D. Kim) Emergent flocking dynamics of the discrete thermodynamic Cucker-Smale model. Quarterly of Applied Mathematics, 2020, 78(4): 589-615. 27. (with Y.-P. Choi) Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings. Nonlinearity, 2019, 32: 559-583. 26. (with Y. Liu and X. Xue) Convergence and stability of generalized gradient systems by Lojasiewicz inequality with application in continuum Kuramoto model. Discrete and Continuous Dynamical Systems-A, 2019, 39: 345-367. 25. (with X. Xue) Convergence of analytic gradient-type systems with periodicity and its applications in Kuramoto models. Applied Mathematics Letters, 2019, 90: 194-201. 24. (with X. Zhao and X. Xue) Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring. Networks and Heterogeneous Media, 2018, 13: 323-337. 23. (with Y.-P. Choi) Emergent behavior of Cucker-Smale flocking particles with heterogeneous time delays. Applied Mathematics Letters, 2018, 86: 49-56. 22. (with S.-Y. Ha, J. Lee and J. Park) Emergent dynamics of Kuramoto oscillators with adaptive couplings: conservation law and fast learning. SIAM Journal on Applied Dynamical Systems, 2018, 17: 1560-1588. 21. (with S.-Y. Ha and J. Lee) Synchronous harmony in an ensemble of Hamiltonian mean-field oscillators and inertial Kuramoto oscillators. Chaos, 2018, 28: 113112. 20. (with S.-Y. Ha and J. Lee) Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators. Networks and Heterogeneous Media, 2017, 12(1): 1-24. 19. (with Y.-P. Choi and S.-Y. Ha) Emergent dynamics of the Cucker-Smale flocking model and its variants. Active Particles, Volume 1: Theory, Models, Applications, BIrkhauser-Springer (Boston) Book Chapter. 18. (with S.-Y. Ha) Uniqueness and well-ordering of emergent phase-locked states for the Kuramoto model with frustration and inertia. Mathematical Models and Methods in Applied Sciences, 2016, 26(2): 357-382. 17. (with X. Xue and D. Yu) On the Lojasiewicz exponent of Kuramoto model. Journal of Mathematical Physics, 2015, 56(2): 022704:1-20. 16. (with L. Ru and X. Xue) Cucker-Smale flocking with randomly failed interactions. Journal of the Franklin Institute, 2015, 352(3): 1099-1118. 15. (with S.-Y. Ha) On the Cucker-Smale flocking with alternating leaders. Quarterly of Applied Mathematics, 2015, 73: 693-709. 14. (with S.-Y. Ha and X. Xue) Emergent phenomena in an ensemble of Cucker-Smale particles under joint rooted leadership. Mathematical Models and Methods in Applied Sciences, 2014, 24(7): 1389-1419. 13. (with S.-Y. Ha and Y. Kim) Large-time dynamics of Kuramoto oscillators under the effect of inertia and frustration. SIAM Journal on Applied Dynamical Systems, 2014, 13(1): 466-492. 12. (with X. Xue and D. Yu) Synchronization and transient stability in power grids based on Lojasiewicz inequalities. SIAM Journal on Control and Optimization, 2014, 52(4): 2482-2511. 11. Effectual leadership in flocks with hierarchy and individual preference. Discrete and Continuous Dynamical Systems-A, 2014, 34: 3683-3702. 10. (with S.-Y. Ha) Complete synchronization of Kuramoto oscillators with hierarchical leadership. Communications in Mathematical Science, 2014, 12(3): 485-508. 9. (with Y.-P. Choi, S.-Y. Ha, X. Xue and S.-B. Yun) Complete entrainment of Kuramoto oscillators with inertia on networks. Journal of Differential Equations, 2014, 257: 2591-2621. 8. (with X. Xue) Cucker-Smale flocking under rooted leadership with free-will agents. Physica A, 2014, 410: 205-217. 7. (with S.-Y. Ha and X. Xue) A revisit to the consensus for linearized Vicsek model under joint rooted leadership via a special matrix. Networks and Heterogeneous Media, 2014, 9: 335-351. 6. (with S.-Y. Ha and Y. Kim) Asymptotic synchronous behavior of Kuramoto type models with frustrations. Networks and Heterogeneous Media, 2014, 9: 33-64. 5. (with S.-Y. Ha, M. Slemrod and X. Xue) Flocking behavior of the Cucker-Smale model under rooted leadership in a large coupling limit. Quarterly of Applied Mathematics, 2014, 72(4): 689-701. 4. (with S.-Y. Ha and X. Xue) Formation of phase-locked states in a population of locally interacting Kuramoto oscillators. Journal of Differential Equations, 2013, 255: 3053-3070. 3. (with X. Xue) Asymptotic stability analysis of a kind of switched positive linear discrete systems. IEEE Transactions on Automatic Control, 2010, 55(9): 2198-2203. 2. (with X. Xue) Outer synchronization of coupled networks using arbitrary coupling strength. Chaos, 2010, 20(2): 023106. 1. (with X. Xue) Cucker-Smale flocking under rooted leadership with fixed and switching topologies. SIAM Journal on Applied Mathematics, 2010, 70(8): 3156-3174.