Prof. Pei Yu
Department of
Applied Mathematics
The University of
Western Ontario, Canada
Professor
Email: pyu@uwo.ca
Qualifications
1986 Ph.D.,
University of Waterloo, Canada
1984 M.Sc.,
University of Waterloo, Canada
1982 B.Sc.,
Shanghai Jiao Tong University, China
Publications
(Selected)
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P. Yu and M. Han, “A study on Zoladek’s example,” Journal of Applied
Analysis and Computation, 1, 143-153, 2011.
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P. Yu and J. Lv, “Bifurcation control for a class of Lorenz-like systems,”
Int. J. Bifurcation & Chaos, 21, 2011.
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P. Yu and M. Han, “Four limit cycles from perturbing quadratic integrable
systems by quadratic polynomials,” arXiv: 1002.1005v1 (since Feb. 4, 2010).
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P. Yu, M. Han and J. Li, “Bifurcation of limit cycles in cubic integrable
Z2-equivariant planar vector fields,” Qualitative Theory of Dynamical Systems,
9, 221-233, 2010.
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M. Gazor and P. Yu, “Formal decomposition method and parametric normal
form,” Int. J. Bifurcation & Chaos, 20(11), 3487-3415, 2010.
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J. Yang, M. Han, J. Li and P. Yu, “Existence conditions of thirteen limit
cycles in a cubic system,” Int. J. Bifurcation & Chaos, 20(8), 2569-2577,
2010.
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P. Yu, M. Han and J. Zhang, “Critical periods of 3rd-order planar
Hamiltonian systems,” Int. J. Bifurcation & Chaos, 20(7), 2213-2224, 2010.
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F. Xu and P. Yu, “Chaos control and chaos synchronization for multi-scroll
chaotic attractors generated using hyperbolic functions,” J. Math. Anal. Appl,
362(1), 252-274, 2010.
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M. Han, J. Yang and P. Yu, “Hopf Bifurcations for near-Hamiltonian
Systems,” Int. J. Bifurcation & Chaos, 19(12), 4117-4130, 2009.
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X. Jiang, P. Yu, Z. Yuan and X. Zou, “Dynamics of a HIV-1 therapy model of
fighting a virus with another virus,” Journal of Biological Dynamics, 3(4),
387-409, 2009.
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F. Xu and P. Yu, “Global stabilization and synchronization of
n-scroll-chaotic attractors in a modified Chua’s circuit with hyperbolic
tangent function,” Int. J. Bifurcation & Chaos, 19(8), 2563-2572, 2009.
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P. Yu and M. Han, “Critical periods of planar revertible vector field with
3rd-degree polynomial functions,” Int. J. Bifurcation & Chaos, 19(1),
419-433, 2009.
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F. Xu, P. Yu and X. Liao, “Global analysis on n-scroll-chaotic attractors
of modified Chua’s circuit,” Int. J. Bifurcation & Chaos, 19(1), 135-157,
2009.
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P. Yu and R. Corless, “Symbolic computation of limit cycles associated
with Hilbert’s 16th problem,” Communications in Nonlinear Science and Numerical Simulation,
14(12), 4041-4056, 2009.
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P. Yu, X. Liao, S. Xie and Y. Fu, “A constructive proof on the existence
of globally exponentially attractive set and positive invariant set of general
Lorenz family,” Communications in Nonlinear Science and Numerical Simulation,
14(7), 2886-2896, 2009.
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X. Liao, F. Xu, P. Wang and P. Yu, “Chaos control and synchronization for
a special generalized Lorenz canonical system – the SM system,” Chaos, Solitons
& Fractals, 39(5), 2491-2508, 2009.
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X. Liao, Y. Fu, S. Xie and P. Yu, “Globally exponentially attractive sets
of the family of Lorenz systems,” Science in China F: Information Sciences,
Vol. 51(3), 283-292, 2008.
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Z. Xu, H. Hangan and P. Yu, “Analytical solutions for invisicid Gaussian
impinging jets,” ASME J. Appl. Mech., 75(2), 021019, 1-12, 2008.
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M. Gazor and P. Yu, “Infinite order parametric normal form of Hopf
singularity,” Int. J. Bifurcation & Chaos, 18(11), 3393-3408, 2008.
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Z. Zeng, P. Yu and X. Liao, “A new comparison method for stability theory
of differential systems with time-varying delays,” Int. J. Bifurcation and
Chaos, 18(1), 169-186, 2008.
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P. Yu and G. Chen, “Computation of focus values with applications,”
Nonlinear Dynamics, 51(3), 409-427, 2008.
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Z. Yan and P. Yu, “Hyperchaos synchronization and control on a new
hyperchaotic attractor,”Chaos, Solitons and Fractals, 35(2), 333-345, 2008.
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Y. Shi and P. Yu, “Chaos induced by regular snap-back repellers,” J. Math.
Anal. Appl., 337(2), 1480-1494, 2008. H. Chen, Y. Liu and P. Yu, “Center and
isochronous center at infinity in a class of planar systems,” Dynamics of
Continuous, Discrete and Impulsive Systems Series B: Applications and
Algorithms, 15(1), 57-74, 2008.
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P. Yu and X. Liao, “On the study of globally exponentially attractive set
of a general chaotic system,” Communications in Nonlinear Science and Numerical
Simulation, 13(8), 1495-1507, 2008.
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X. Liao, Z. Chen, F. Xu and P. Yu, “Robust absolute stability of Lurie
interval control systems,” Int. J. Robust and Nonlinear Control, Vol. 17,
1669-1689, 2007.