Abstract:
This paper presents the synchronization of a population of identical moving pulse-coupled oscillators (MPCOs) that are confined to move in a plane with mutual interaction...Show MoreMetadata
Abstract:
This paper presents the synchronization of a population of identical moving pulse-coupled oscillators (MPCOs) that are confined to move in a plane with mutual interactions, which are controlled by some pre-determined state threshold values and only take effect inside some known communication radii. The states are allowed to evolve in a nonlinear and periodical manner in accordance with a smooth, monotonically increasing and concave down function. Sufficient conditions are established for synchronization and the general effects of system parameters on the synchronization rate are further probed into. It is found that increasing signal strength causes the synchronization rate to initially decrease, then remain almost constant, then increase again until it finally decreases. Furthermore, with increasing speed modulus the synchronization rate initially decreases then increases. The synchronization rate, however, decreases with an increasing communication radius. Finally, as a real-world application, the proposed model is used to synchronize the different clocks in an ultra-wide bandwidth wireless ad hoc network.
Published in: IEEE Transactions on Circuits and Systems I: Regular Papers ( Volume: 62, Issue: 10, October 2015)

College of Information Engineering, Shenzhen University, Shenzhen, PR China
Jingyi Wang received the B.S. degree in information management and information system from Northwest Normal University, Lanzhou, China, in 2009 and the M.S. degree in applied mathematics from Shenzhen University, China, in 2012, respectively. Currently, he is working toward the Ph.D. degree in the College of Information Engineering, Shenzhen University, China. His research interests include multi-agent systems, complex ne...Show More
Jingyi Wang received the B.S. degree in information management and information system from Northwest Normal University, Lanzhou, China, in 2009 and the M.S. degree in applied mathematics from Shenzhen University, China, in 2012, respectively. Currently, he is working toward the Ph.D. degree in the College of Information Engineering, Shenzhen University, China. His research interests include multi-agent systems, complex ne...View more

Institute of Intelligent Computing Science, Shenzhen University, Shenzhen, PR China
Chen Xu received the B.Sc. and M.Sc. degrees from Xidian University in 1986 and 1989, respectively, and the Ph.D. degree from Xi'an Jiaotong University in 1992. He joined Shenzhen University, Shenzhen, China, in 1992 and currently is a Professor. From September 1999 to January 2000, he was a research fellow with the Kansai University, Japan. From August 2002 to August 2003, he was a Research Fellow with the University of ...Show More
Chen Xu received the B.Sc. and M.Sc. degrees from Xidian University in 1986 and 1989, respectively, and the Ph.D. degree from Xi'an Jiaotong University in 1992. He joined Shenzhen University, Shenzhen, China, in 1992 and currently is a Professor. From September 1999 to January 2000, he was a research fellow with the Kansai University, Japan. From August 2002 to August 2003, he was a Research Fellow with the University of ...View more

College of Mathematics and Computational Science, Shenzhen University, Shenzhen, PR China
Jianwen Feng was born in Hubei, China, in 1964. He received the B.S. degree in mathematics/applied mathematics from Hubei Normal University, Huangshi, China, in 1986, and the M.S. and Ph.D. degrees in mathematics/applied mathematics from Wuhan University, Wuhan, China, in 1995, and 2001, respectively.
From 1986 to 1998, he was a faculty member in Yunyang Normal College, Shiyan, China. Since 2001, he has worked in the Colle...Show More
Jianwen Feng was born in Hubei, China, in 1964. He received the B.S. degree in mathematics/applied mathematics from Hubei Normal University, Huangshi, China, in 1986, and the M.S. and Ph.D. degrees in mathematics/applied mathematics from Wuhan University, Wuhan, China, in 1995, and 2001, respectively.
From 1986 to 1998, he was a faculty member in Yunyang Normal College, Shiyan, China. Since 2001, he has worked in the Colle...View more

Department of Mechanical Engineering, The University of Hong Kong, Hong Kong
Michael Z. Q. Chen received the B.Eng. degree in electrical and electronic engineering from Nanyang Technological University, Singapore, and the Ph.D. degree in control engineering from Cambridge University, Cambridge, U.K. He is currently an Assistant Professor at the Department of Mechanical Engineering, the University of Hong Kong.
Dr. Chen is a Fellow of the Cambridge Philosophical Society. He is now a Guest Associate ...Show More
Michael Z. Q. Chen received the B.Eng. degree in electrical and electronic engineering from Nanyang Technological University, Singapore, and the Ph.D. degree in control engineering from Cambridge University, Cambridge, U.K. He is currently an Assistant Professor at the Department of Mechanical Engineering, the University of Hong Kong.
Dr. Chen is a Fellow of the Cambridge Philosophical Society. He is now a Guest Associate ...View more

Department of Automation, Shanghai Jiao Tong University, Shanghai, PR China
Xiaofan Wang (SM’05) received the Ph.D. degree from Southeast University, China, in 1996. He has been a Professor in the Department of Automation, Shanghai Jiao Tong University (SJTU), China, since 2002 and a Distinguished Professor of SJTU since 2008. He received the 2002 National Science Foundation for Distinguished Young Scholars of P. R. China, the 2005 Guillemin-Cauer Best Transactions Paper Award from the IEEE Circu...Show More
Xiaofan Wang (SM’05) received the Ph.D. degree from Southeast University, China, in 1996. He has been a Professor in the Department of Automation, Shanghai Jiao Tong University (SJTU), China, since 2002 and a Distinguished Professor of SJTU since 2008. He received the 2002 National Science Foundation for Distinguished Young Scholars of P. R. China, the 2005 Guillemin-Cauer Best Transactions Paper Award from the IEEE Circu...View more

College of Mathematics and Computational Science, Shenzhen University, Shenzhen, PR China
Yi Zhao was born in Xinjiang, China, in 1980. He received the B.S. degree in mathematics and applied mathematics from Fudan University, Shanghai, China, in 2003, and received the Ph.D. degree in mathematics from City University of Hong Kong, Hong Kong, in 2007. Now he is a lecture in the college of mathematics and computational science, Shenzhen University, Guangdong, China. His main research interests are complex network...Show More
Yi Zhao was born in Xinjiang, China, in 1980. He received the B.S. degree in mathematics and applied mathematics from Fudan University, Shanghai, China, in 2003, and received the Ph.D. degree in mathematics from City University of Hong Kong, Hong Kong, in 2007. Now he is a lecture in the college of mathematics and computational science, Shenzhen University, Guangdong, China. His main research interests are complex network...View more

College of Information Engineering, Shenzhen University, Shenzhen, PR China
Jingyi Wang received the B.S. degree in information management and information system from Northwest Normal University, Lanzhou, China, in 2009 and the M.S. degree in applied mathematics from Shenzhen University, China, in 2012, respectively. Currently, he is working toward the Ph.D. degree in the College of Information Engineering, Shenzhen University, China. His research interests include multi-agent systems, complex networks, and nonlinear dynamics.
Jingyi Wang received the B.S. degree in information management and information system from Northwest Normal University, Lanzhou, China, in 2009 and the M.S. degree in applied mathematics from Shenzhen University, China, in 2012, respectively. Currently, he is working toward the Ph.D. degree in the College of Information Engineering, Shenzhen University, China. His research interests include multi-agent systems, complex networks, and nonlinear dynamics.View more

Institute of Intelligent Computing Science, Shenzhen University, Shenzhen, PR China
Chen Xu received the B.Sc. and M.Sc. degrees from Xidian University in 1986 and 1989, respectively, and the Ph.D. degree from Xi'an Jiaotong University in 1992. He joined Shenzhen University, Shenzhen, China, in 1992 and currently is a Professor. From September 1999 to January 2000, he was a research fellow with the Kansai University, Japan. From August 2002 to August 2003, he was a Research Fellow with the University of Hawaii, USA. His research interests are image processing, intelligent computing, and wavelet analysis.
Chen Xu received the B.Sc. and M.Sc. degrees from Xidian University in 1986 and 1989, respectively, and the Ph.D. degree from Xi'an Jiaotong University in 1992. He joined Shenzhen University, Shenzhen, China, in 1992 and currently is a Professor. From September 1999 to January 2000, he was a research fellow with the Kansai University, Japan. From August 2002 to August 2003, he was a Research Fellow with the University of Hawaii, USA. His research interests are image processing, intelligent computing, and wavelet analysis.View more

College of Mathematics and Computational Science, Shenzhen University, Shenzhen, PR China
Jianwen Feng was born in Hubei, China, in 1964. He received the B.S. degree in mathematics/applied mathematics from Hubei Normal University, Huangshi, China, in 1986, and the M.S. and Ph.D. degrees in mathematics/applied mathematics from Wuhan University, Wuhan, China, in 1995, and 2001, respectively.
From 1986 to 1998, he was a faculty member in Yunyang Normal College, Shiyan, China. Since 2001, he has worked in the College of Mathematics and Computational Science, Shenzhen University, Shenzhen, China. And he is currently a Professor of Applied Mathematics in Shenzhen University. From 2009 to 2010, he was a Visiting Research Fellow and a Visiting Professor with the Department of Applied Mathematics, the Hong Kong Polytechnic University, Hong Kong. He has authored and coauthored more than 30 refereed international journal papers and has been the reviewer for several international journals. His research interests include nonlinear systems, control theory and applications, complex networks, stability theory, and applied mathematics.
Jianwen Feng was born in Hubei, China, in 1964. He received the B.S. degree in mathematics/applied mathematics from Hubei Normal University, Huangshi, China, in 1986, and the M.S. and Ph.D. degrees in mathematics/applied mathematics from Wuhan University, Wuhan, China, in 1995, and 2001, respectively.
From 1986 to 1998, he was a faculty member in Yunyang Normal College, Shiyan, China. Since 2001, he has worked in the College of Mathematics and Computational Science, Shenzhen University, Shenzhen, China. And he is currently a Professor of Applied Mathematics in Shenzhen University. From 2009 to 2010, he was a Visiting Research Fellow and a Visiting Professor with the Department of Applied Mathematics, the Hong Kong Polytechnic University, Hong Kong. He has authored and coauthored more than 30 refereed international journal papers and has been the reviewer for several international journals. His research interests include nonlinear systems, control theory and applications, complex networks, stability theory, and applied mathematics.View more

Department of Mechanical Engineering, The University of Hong Kong, Hong Kong
Michael Z. Q. Chen received the B.Eng. degree in electrical and electronic engineering from Nanyang Technological University, Singapore, and the Ph.D. degree in control engineering from Cambridge University, Cambridge, U.K. He is currently an Assistant Professor at the Department of Mechanical Engineering, the University of Hong Kong.
Dr. Chen is a Fellow of the Cambridge Philosophical Society. He is now a Guest Associate Editor for the International Journal of Bifurcation and Chaos. His research interests include passive network synthesis, mechanical control, complex networks, and smart grid.
Michael Z. Q. Chen received the B.Eng. degree in electrical and electronic engineering from Nanyang Technological University, Singapore, and the Ph.D. degree in control engineering from Cambridge University, Cambridge, U.K. He is currently an Assistant Professor at the Department of Mechanical Engineering, the University of Hong Kong.
Dr. Chen is a Fellow of the Cambridge Philosophical Society. He is now a Guest Associate Editor for the International Journal of Bifurcation and Chaos. His research interests include passive network synthesis, mechanical control, complex networks, and smart grid.View more

Department of Automation, Shanghai Jiao Tong University, Shanghai, PR China
Xiaofan Wang (SM’05) received the Ph.D. degree from Southeast University, China, in 1996. He has been a Professor in the Department of Automation, Shanghai Jiao Tong University (SJTU), China, since 2002 and a Distinguished Professor of SJTU since 2008. He received the 2002 National Science Foundation for Distinguished Young Scholars of P. R. China, the 2005 Guillemin-Cauer Best Transactions Paper Award from the IEEE Circuits and Systems Society, the 2008 Distinguished Professor of the Chang Jiang Scholars Program, Ministry of Education, and the 2010 Peony Prize for Natural Science Researchers in Shanghai. His current research interests include analysis and control of complex dynamical networks. He has (co)authored 4 books and more than 70 papers. He is the Chair of the IFAC Technical Committee on Large-Scale Complex Systems.
Xiaofan Wang (SM’05) received the Ph.D. degree from Southeast University, China, in 1996. He has been a Professor in the Department of Automation, Shanghai Jiao Tong University (SJTU), China, since 2002 and a Distinguished Professor of SJTU since 2008. He received the 2002 National Science Foundation for Distinguished Young Scholars of P. R. China, the 2005 Guillemin-Cauer Best Transactions Paper Award from the IEEE Circuits and Systems Society, the 2008 Distinguished Professor of the Chang Jiang Scholars Program, Ministry of Education, and the 2010 Peony Prize for Natural Science Researchers in Shanghai. His current research interests include analysis and control of complex dynamical networks. He has (co)authored 4 books and more than 70 papers. He is the Chair of the IFAC Technical Committee on Large-Scale Complex Systems.View more

College of Mathematics and Computational Science, Shenzhen University, Shenzhen, PR China
Yi Zhao was born in Xinjiang, China, in 1980. He received the B.S. degree in mathematics and applied mathematics from Fudan University, Shanghai, China, in 2003, and received the Ph.D. degree in mathematics from City University of Hong Kong, Hong Kong, in 2007. Now he is a lecture in the college of mathematics and computational science, Shenzhen University, Guangdong, China. His main research interests are complex networks, control theory and applications, and asymptotic theory.
Yi Zhao was born in Xinjiang, China, in 1980. He received the B.S. degree in mathematics and applied mathematics from Fudan University, Shanghai, China, in 2003, and received the Ph.D. degree in mathematics from City University of Hong Kong, Hong Kong, in 2007. Now he is a lecture in the college of mathematics and computational science, Shenzhen University, Guangdong, China. His main research interests are complex networks, control theory and applications, and asymptotic theory.View more