Dr Tonghua Zhang, BSc, MSc, PhD (SJTU, China)
Room: 204-523
Phone: 08 9266 7569
Fax: 08 9266 2681
E-mail: t.zhang@curtin.edu.au
Relevant Professional Activities
- Reviewer of American Mathematical Society
Research Interest
- Nonlinear dynamics
- Numerical computing for complex processes
- Application of Wavelets in Chemical Engineering
- Process modelling and simulation
Selected Publications and Refereed Journal Papers
- Tonghua Zhang, Yu-Chu Tian and Moses O. Tade. On the number of zeros of Abelian integrals for a kind of Linear system under perturbations. Internat. J. Bifur. Chaos Appl. Sci. Engrg. Accepted on 21 Aug. 2006
- Zhang Tonghua, Chen Wencheng and Zang Hong. A Criterion of the Monotonicity of the Ration of Abelian Integrals in A Class of Hamiltonian system. Journal of Systems Science and Mathematics Science(Chinese) Accepted on 24 August 2005
- Hong Zang, Maoan Han, Tonghua Zhang and Moses O. Tade. The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems. Comput. Math. Appl. Accepted on Jan 8, 2006
- Maoan Han, Tonghua Zhang and Hong Zang. Bifurcation of Limit Cycles Near Equivariant Compound Cycles. Sci. China Ser. A, Accepted in Aug 2006
- Tonghua Zhang, Moses O. Tadé and Yu-Chu Tian. On the zeros of the Abelian integrals for a class of Liénard systems. Physics Letters A, Vol. 358, 2006, Pages 262-274 Available online 24 May 2006
- Tonghua Zhang, Moses O. Tadé and Yu-Chu Tian. Linear estimate of the number of limit cycles for a class of non-linear systems. Chaos, Solitons & Fractals, Vol. 31(4), 2007, Pages 804-810 Accepted 10 Oct 2005, Available online 28 November 2005.
- Hong Zang, Tonghua Zhang and Maoan Han. Bifurcations of limit cycles in a cubic system with cubic perturbations. Applied Mathematics and Computation, Volume 176, Issue 1, 1 May 2006, Pages 341-358
- Maoan Han, Hong Zang and Tonghua Zhang. A new proof to Bautin’s theorem. Chaos, Solitons & Fractals, Volume 31, Issue 1, January 2007, Pages 218-223
- Hong Zang, Tonghua Zhangand Maoan Han. Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop. Bulletin des Sciences Mathématiques, 130 (2006), no. 1, 71--86.
- Maoan Han and Tonghua Zhang. Some bifurcation methods of finding limit cycles. Mathematical Biosciences and Engineering, 3 (2006), no. 1, 67--77
- Hong Zang, Tonghua Zhang and Maoan Han. The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems. Journal of Mathematical Analysis and Applications, 316 (2006), 679-696
- Zhang, Tonghua; Han, Maoan; Zang, Hong. Perturbation from an asymmetric cubic Hamiltonian. J. Math. Anal. Appl. 305 (2005), no. 2, 617--630.
- Xiang, Guanghui; Han, Maoan; Zhang, Tonghua. The number of limit cycles for a family of polynomial systems. Comput. Math. Appl. 49 (2005), no. 11-12, 1669--1678.
- Zhang, Tonghua; Han, Maoan; Zang, Hong; Meng, Xinzhu. Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations. Chaos Solitons Fractals 22 (2004), no. 5, 1127--1138.
- Tonghua, Zhang; Wencheng, Chen; Maoan, Han; Hong, Zang. The abelian integrals of a one-parameter Hamiltonian system under polynomial perturbations. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14 (2004), no. 7, 2449--2456.
- Tonghua, Zhang; Wencheng, Chen; Hong, Zang. The abelian integrals of a one-parameter Hamiltonian system under cubic perturbations. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14 (2004), no. 5, 1853--1862.
- Zhang, Tonghua; Zang, Hong; Han, Maoan. Bifurcations of limit cycles in a cubic system. Chaos Solitons Fractals 20 (2004), no. 3, 629--638.
- Hong, Zang; Chen, Wencheng; Tonghua, Zhang. Perturbation from a cubic Hamiltonian with three figure eight-loops. Chaos Solitons Fractals 22 (2004), no. 1, 61--74.
- Maoan, Han; Tonghua, Zhang; Hong, Zang. On the number and distribution of limit cycles in a cubic system. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14 (2004), no. 12, 4285--4292.
- Hong, Zang; Tonghua, Zhang; Chen, Wencheng. Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop. J. Complexity 20 (2004), no. 4, 544--560.
- Zhang, Tong-hua; Zang, Hong; Han, Mao-an. The upper bound of the number of limit cycles of a class of non-Hamiltonian integrable systems. Math. Appl. 17 (2004), no. 2, 186--191.