研究领域
主要从事复杂网络、非线性复杂系统、混沌、普适性、符号动力学和分形等方面的研究。
承担的主要科研项目(主持)
1. 国家自然科学基金项目(分形网络系统的几何动力学分析,11365023,2014 – 2017,在研)
2. 国家自然科学基金项目(符号动力学中的非规范星花积与新型超收敛普适性,10565004,2006 – 2008,已结题)
3. 教育部高等学校博士学科点专项科研基金项目(非线性复杂系统中的特征量及相互关系分析,20050673001,2006 – 2008,已结题)
4. 国家重点基础研究发展规划(“973”计划)“非线性科学中的若干前沿问题”项目子课题(符号序列的复杂性分析:符号序列的复杂性与新度量普适性分析,任复杂性课题组副组长,G2000077308,2000 – 2005,已结题)
5. 国家“九五”攀登计划“非线性科学”项目子课题(符号序列分析,青年成员,1999 – 2000,已结题)
6. 云南省自然科学基金项目(非线性物理系统混沌现象的热力学形式与普适性研究,97A007G,1997 – 2000,已结题)
近期论文
查看导师新发文章
(温馨提示:请注意重名现象,建议点开原文通过作者单位确认)
1. M. Xu, C.-Y. Xu, H. Wang, Y.-K. Li, J.-B. Hu and K.-F. Cao*, Global and partitioned reconstructions of undirected complex networks, Eur. Phys. J. B 89, 55 (2016).
2. H. Wang, J.-B. Hu, C.-Y. Xu, D.-H. Zhang, Q. Yan, M. Xu, K.-F. Cao* and X.-S. Zhang, A pathway-based network analysis of hypertension-related genes, Physica A 444, 928-939 (2016); 447, 569-570 (2016).
3. M. Xu, C.-Y. Xu, H. Wang, C.-Z. Deng and K.-F. Cao*, Analytical controllability of deterministic scale-free networks and Cayley trees, Eur. Phys. J. B 88, 168 (2015).
4. X.-S. Zhang* and K.-F. Cao, The impact of coinfections and their simultaneous transmission on antigenic diversity and epidemic cycling of infectious diseases, BioMed Res. Int. 2014, Article ID 375862, 23 pages (2014).
5. C.-Y. Xu, H. Wang, K.-F. Cao* and S.-L. Peng, A superconvergent universality induced by non-associativity, Phys. Lett. A 378, 1505-1509 (2014).
6. H. Wang, C.-Y. Xu, J.-B. Hu and K.-F. Cao*, A complex network analysis of hypertension-related genes, Physica A 394, 166-176 (2014).
7. W. Gao, C.-Y. Xu, S.-L. Peng, and K.-F. Cao*, Universal form of renormalizable knots in symbolic dynamics of bimodal maps, Int. J. Bifurcation and Chaos 23, 1350160 (2013).
8. Q. Liu, K.-F. Cao*, and S.-L. Peng, A generalized Kolmogorov-Sinai-like entropy under Markov shifts in symbolic dynamics, Physica A 388, 4333-4344 (2009).
9. Z. Zhou*, K.-F. Cao, and S.-L. Peng, New universal bifurcation scenario in one-dimensional trimodal maps, Phys. Lett. A 372, 3407-3414 (2008).
10. W.-B. Zhai, X.-Z. Chen, and K.-F. Cao*, Global multifractal relation between topological entropies and fractal dimensions, Chaos, Solitons & Fractals 23, 511-518 (2005).
11. K.-F. Cao, C. Zhang, and S.-L. Peng, Topological entropy, knots and star products, The Proceedings of the 14th European Conference on Iteration Theory (ECIT 2002, Évora, Portugal, 1-7 September 2002), edited by J. Sousa Ramos, D. Gronau, C. Mira, L. Reich, A. Sharkovsky, Grazer Math. Ber. 346, 61-72 (2004).
12. Y.-Y. Zhang and K.-F. Cao*, Metric universalities and systems of renormalization group equations for bimodal maps, Chaos, Solitons & Fractals 21, 457-471 (2004).
13. K.-F. Cao and S.-L. Peng*, Homology of vertex and edge shift matrices in symbolic dynamics and entropy invariants, Int. J. Mod. Phys. B 17, 4308-4315 (2003).
14. K.-F. Cao*, X.-S. Zhang, Z. Zhou, and S.-L. Peng, Devil’s carpet of topological entropy and complexity of global dynamical behavior, Chaos, Solitons & Fractals 16, 709-726 (2003).
15. Z. Zhou* and K.-F. Cao, An effective numerical method of the word-lifting technique in one-dimensional multimodal maps, Phys. Lett. A 310, 52-59 (2003).
16. K.-F. Cao*, Z. Zhou, W. Gao, and S.-L. Peng, General form of superuniversality for fractal dimensions in one-dimensional maps, Int. J. Mod. Phys. B 15, 4183-4197 (2001).
17. K.-F. Cao and S.-L. Peng, Complexity of routes to chaos and global regularity of fractal dimensions in bimodal maps, Phys. Rev. E 60, 2745-2760 (1999).
18. S.-L. Peng, X.-S. Zhang, and K.-F. Cao, Dual star products and metric universality in symbolic dynamics of three letters, Phys. Lett. A 246, 87-96 (1998).
19. S.-L. Peng and K.-F. Cao, Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations, Phys. Rev. E 54, 3211-3220 (1996).
20. J.-X. Shi, K.-F. Cao, T.-L. Guo and S.-L. Peng, Metric universality for the devil’s staircase of topological entropy, Phys. Lett. A 211, 25-28 (1996).
21. K.-F. Cao, Z.-X. Chen, and S.-L. Peng, Global metric regularity of the devil’s staircase of topological entropy, Phys. Rev. E 51, 1989-1995 (1995).
22. Z.-X. Chen, K.-F. Cao, and S.-L. Peng, Symbolic dynamics analysis of topological entropy and its multifractal structure, Phys. Rev. E 51, 1983-1988 (1995).
23. S.-L. Peng, K.-F. Cao, and Z.-X. Chen, Devil’s staircase of topological entropy and global metric regularity, Phys. Lett. A 193, 437-443 (1994); 196, 378 (1995).
24. K.-F. Cao and S.-L. Peng, Universal scaling of generalized dimensions on critical strange sets, J. Phys. A: Math. Gen. 25, 589-599 (1992).
25. K.-F. Cao, R.-L. Liu, and S.-L. Peng, A new universality for fractal dimensions of Feigenbaum-type attractors, Phys. Lett. A 136, 213-215 (1989).
26. S.-L. Peng and K.-F. Cao, A new global regularity of fractal dimensions on critical points of transitions to chaos, Phys. Lett. A 131, 261-264 (1988); 133, 543 (1988).