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Search Results: 1 - 10 of 12438 matches for " Jianping Cai "
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Hopf bifurcation in the IS-LM business cycle model with time delay
Jianping Cai
Electronic Journal of Differential Equations , 2005,
Abstract: The distinction between investment decisions and implementation leads us to formulate a new IS-LM business cycle model. It is shown that the dynamics depends crucially on the time delay parameter - the gestation time period of investment. The Hopf bifurcation theorem is used to predict the occurrence of a limit cycle bifurcation for the time delay parameter. Our analysis shows that the limit cycle behavior is independent of the assumption of nonlinearity of the investment function. An example is given to verify the theoretical results.
Hopf Bifurcation Analysis and Approximation of Limit Cycle in Coupled Van Der Pol and Duffing Oscillators
Jianping Cai and Jianhe Shen
The Open Acoustics Journal , 2008, DOI: 10.2174/1874837600801010019]
Abstract: Using Routh-Hurwitz criterion and Hopf bifurcation theorem, stability of the equilibrium points and Hopf bifurcation of coupled van der Pol and Duffing oscillators are investigated. The parametric curve corresponding to Hopf bifurcation and the existence region for the limit cycle in the parameter space are derived. The method of multiple time scales is used to deduce the analytical approximation of the limit cycle, and the accuracy of the analytical approximation is verified by direct numerical integration.
Adaptive Compensation of Unknown Actuator Failures for Strict-feedback Systems
Jianping. Cai,Lujuan. Shen
International Journal of Modern Education and Computer Science , 2011,
Abstract: Actuator failures are inevitable in practice especially in complex systems. The unknown failure may cause instability and catastrophic accidents during operation of control systems. A state feedback control scheme is proposed by using backstepping techniques. Compared with exist results, The uncertainties caused by total failure are seen as the bounded term and an estimator is designed to estimate its upper bound. The stability of closed loop system and output tracking performance can be guaranteed by our control law and corresponding update laws of uncertain parameters.
Finite-time synchronization of non-autonomous chaotic systems with unknown parameters
Jianping Cai,Meili Lin
Physics , 2009,
Abstract: Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the controllers and parameters update laws. The Duffing equation and a gyrostat system are chosen as the numerical examples to show the validity of the present method.
Robust synchronization with uniform ultimate bound between two different chaotic systems with uncertainties
Jianping Cai,Zhengzhong Yuan
Physics , 2009,
Abstract: Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied to prove that under some conditions the drive-response systems can achieve synchronization with uniform ultimate bound even though the bounds of uncertainties are not known exactly in advance. The designed controllers contain only feedback terms and partial nonlinear terms of the systems, and they are easy to implement in practice. The Lorenz system and Chen system are chosen as the illustrative example to verify the validity of the proposed method. Simulation results also show that the present control has good robustness against different kinds of disturbances.
Double-Lumen Needle Follicular Flushing System versus Single-Lumen Aspiration Needle in IVF/ICSI Patients with Poor Ovarian Response: A Meta-Analysis  [PDF]
Weijie Xing, Jianping Ou, Liuhong Cai, Xin Tao
Advances in Sexual Medicine (ASM) , 2017, DOI: 10.4236/asm.2017.74014
Abstract: Background: The present study performed a meta-analysis to comprehensively analyze existing randomized controlled trials (RCT) involving the use of double-lumen needle in patients with poor ovarian response to explore whether double-lumen needle was good for specific patients. Methods: The PubMed, EMBASE, Cochrane Library databases and two randomized controlled trials registration centers were thoroughly searched until April 2017. The clinical outcomes of IVF/ICSI cycles were compared between two groups with double-lumen needle and single-lumen needle. Results: Four RCT studies were included in this present meta-analysis. The oocytes yield was similar in two groups (OR 0.88, 95%CI 0.66 - 1.16; I2 = 4%). The procedure time with double-lumen needle was significantly longer than that with single-lumen needle (IV = 1.98, 95%CI 0.95 - 3.00; I2 = 86%). The fertilization rate with double-lumen needle was lower than that with single-lumen needle (OR 0.66, 95%CI 0.44 - 0.97; I2 = 0%). There was no significant difference of live birth rate in two groups (OR 0.76, 95%CI 0.32 - 1.76; I2 = 41%). Conclusion: Double-lumen needle could not benefit patients with a POR in terms of the number of oocytes retrieved, oocyte recovery rate, normal fertilization rate, clinical pregnancy rate, and live birth rate, compared with single-lumen needle.
Comparison of Pregnancy Outcomes of High-Quality D5- and D6-Blastocyst Transfer in Hormone-Replacement Frozen-Thawed Cycles  [PDF]
Weijie Xing, Liuhong Cai, Li Sun, Jianping Ou
International Journal of Clinical Medicine (IJCM) , 2017, DOI: 10.4236/ijcm.2017.811053
Abstract: This study aimed to assess pregnancy outcomes after high-quality D5- and D6-blastocyst transfer in frozen cycles of in vitro fertilization and embryo transfer and to further evaluate whether there was a difference in blastocyst development potentials with different developmental speeds and in pregnancy outcomes. A retrospective analysis was conducted to analyze 247 frozen cycles in our center from September 2015 to July 2017, which were divided into two groups: a D5-FET group with 193 cycles of D5-blastocyst transfer, and a D6-FET group with 54 cycles of D6-blastocyst transfer. Hormone replacement method was utilized to prepare frozen-cycle endometria. Pregnancy outcomes were analyzed and compared between these two groups. The mean ages of the two groups were 31.45 ± 4.43 years and 31.98 ± 4.84 years, respectively, with no statistically significant differences (P > 0.05). The difference in the endometrial thickness during transfer was also not statistically significant. The implantation rate in the D5-FET group was 60.13%, significantly higher than that in the D6-FET group (31.58%, P < 0.05). The clinical pregnancy rate in the D5-FET group was 68.91%, significantly higher than that in the D6-FET group (40.74%, P < 0.05). No statistically significant differences were found in the abortion rate and ectopic pregnancy rate between the two groups. The implantation, biochemical pregnancy, and clinical pregnancy rates of the blastocyst D5 were all superior to those of the blastocyst D6. In clinics, therefore, D5-blastocyst transfer could be prioritized for embryo transfer.
Frozen Blastocyst Transfer during in Vitro Fertilization/Intracytoplasmic Sperm Injection Cycle Lowers the Rate of Ectopic Pregnancy  [PDF]
Weijie Xing, Liuhong Cai, Li Sun, Jianping Ou
Open Journal of Obstetrics and Gynecology (OJOG) , 2017, DOI: 10.4236/ojog.2017.712120
Abstract: This study aimed to determine whether frozen blastocyst transfer can lower the incidence rate of ectopic pregnancy. A total of 1577 in vitro fertilization/ intra-cytoplasmic cycles were analyzed, including 757 fresh D3-ET cycles, 429 frozen D3-ET cycles, and 391 frozen D5-ET cycles. The differences of ages, the proportion of IVF cycles, the proportion of primary infertility, and the proportion of tubal factor between three groups were not significant. The clinical pregnancy rate in Frozen D5-ET Group was 62.15%, which was significantly higher than other two groups (46.10%; 38.93%; P < 0.05). The miscarriage rates of three groups were similar. The ectopic pregnancy rate in Frozen D5-ET Group was 0.41%, which was significantly lower than that in Frozen D3-ET Group (2.99%, P < 0.05) and slightly lower than that in Fresh D3-ET Group (2.29%, P = 0.089). Results from this study show that the transfer of frozen D5 blastocysts can significantly decrease the incidence rate of ectopic pregnancy.
Global Synchronization in Complex Networks with Adaptive Coupling
Zhengzhong Yuan,Jianping Cai,Meili Lin
Mathematical Problems in Engineering , 2010, DOI: 10.1155/2010/826721
Abstract: Global synchronization in adaptive coupling networks is studied in this paper. A new simple adaptive controller is proposed based on a concept of asymptotically stable led by partial state variables. Under the proposed adaptive update law, the network can achieve global synchronization without calculating the eigenvalues of the outer coupling matrix. The update law is only dependent on partial state variables of individual oscillators. Numerical simulations are given to show the effectiveness of the proposed method, in which the unified chaotic system is chosen as the nodes of the network with different topologies.
Escape time from potential wells of strongly nonlinear oscillators with slowly varying parameters
Jianping Cai,Y. P. Li,Xiaofeng Wu
Mathematical Problems in Engineering , 2005, DOI: 10.1155/mpe.2005.365
Abstract: The effect of negative damping to an oscillatory system is to force the amplitude to increase gradually and the motion will be out of the potential well of the oscillatory system eventually. In order to deduce the escape time from the potential well of quadratic or cubic nonlinear oscillator, the multiple scales method is firstly used to obtain the asymptotic solutions of strongly nonlinear oscillators with slowly varying parameters, and secondly the character of modulus of Jacobian elliptic function is applied to derive the equations governing the escape time. The approximate potential method, instead of Taylor series expansion, is used to approximate the potential of an oscillation system such that the asymptotic solution can be expressed in terms of Jacobian elliptic function. Numerical examples verify the efficiency of the present method.
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