(1) Subsequent period-doubling bifurcations appear as r is increased, resulting in increasingly complex periodic solutions.

(2) The bifurcations of fixed points are illustrated in Figs 3.1-3.

(3) Using enzyme concentration as the bifurcation parameter it was possible to induce reversible transitions between periodic and chaotic behavior.

(4) We have reached another bifurcation point in history.

(5) The political bifurcation is another important cause.

(6) Methods: Using the decoupling and global bifurcation theory.

(7) How to Settle bifurcation between client and us?

(8) Theory of Bifurcation and Chaos Dynamics.

(9) At the same time(/bifurcation.html), the center conditions and bifurcation of limit cycles at the origin of the quintic polynomial system are also investigated.

(10) What comes to the vesicle of crural bifurcation unripe little?

(11) The properties of bifurcation points of airfoil flutter with cubic nonlinearity in incompressible flow are studied.

(12) Local bifurcation set and stability charts were obtained in the bifurcation parameters space, while current velocities and mooring line lengths were defined as bifurcation controlling parameters.

(13) In most cases, the plaque located at the bifurcation of the carotid artery.

(14) Center conditions and bifurcation of limit cycles at the infinity for a class of quintic polynomial system were studied.

(15) The results show that it is a supercritical bifurcation point, or saddle-node bifurcation point under some parameters ranges.

(16) Bifurcation problems of fixed points of non-smooth continuous system are studied.

(17) The example shows that the bifurcation condition of single degree of freedom nonlinear oscillator can indicates the motional behavior of nonlinear flutter system.

(18) The correlation here is somewhat subtle and depends on whether one is near to the bifurcation points or far from them.

(19) Immigration trends change Changing immigration trends are largely responsible for the bifurcation in the community.

(20) At r 8. 197 the system undergoes a Hopf bifurcation and an attracting periodic solution results.

(21) Then, using the multi-parameter stability theory and unification technique, we solved the reduced equation and obtained the bifurcation equations and their solution.

(22) For the network storing static memory patterns, the normal form equations are of the pitch- fork bifurcation type.

(23) The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.

(24) According to center manifold theory, high dimensional map and simplified map are equivalent near by bifurcation point.

(25) The tangent stiffness matrix is obtained from the engineering strain and the principle for determining the limit point and bifurcation point is given.

(26) If finding lymph nodes enlargement , the range were extended to the bifurcation of common iliac artery.

(27) The circuit parameter was changed, and the way of simulation was adopted to analyze the phenomenon of bifurcation and chaos of the converter.

(28) It's illustrated how Input State linearization method is used to eliminate bifurcation so that no matter how the parameters change the system could maintain asymptotic stable equilibrium state.

(29) A detailed discussion of Brusselator model with A as bifurcation parameter is presented in this paper, using stability theory and bifurcation theory.

(30) Finally, how to choose the optimal working frequency when the frequency bifurcation happens is analyzed, and the stable voltage output is obtained by using the phase shift full bridge control.

(31) Based on the nonlinear dynamics theory, the global bifurcation analysis is applied to study the mechanism of ship capsize in regular beam sea.

(32) When delay passes a critical value, Hopf bifurcation may appear.

(33) Furthermore, from the analytical results indicate that the shear band mode of discontinuous bifurcation is essentially identical with slip line in the plane strain condition.

(34) The results show saddle-node bifurcation arises in the turning point of amplitude-frequency curve.

(35) For the model with time-dependent birth pulses, using the stroboscopic map, the theory on bifurcation and numerical analysis, the existence and stability of the positive equilibrium are obtained.

(36) IEL of bronchia and tracheas distributed in bronchia mucosal epithelium and in tracheas mucosal epithelium, especially in bifurcation of tracheas.

(37) It was shown that there existed bifurcation structures of the exit concentration in kinetic and operational parameter spaces.

(38) Equivalent normal forms of the cavitated bifurcation equation at the bifurcation point were presented by using singularity theory.

(39) Assumed modes method was employed to validate the theoretical result and analyze the approximately critical bifurcation value and the post-buckling equilibria.

(40) It is shown that the stabile regions nearby bifurcation point have relations with the angle of bedding slop, the material of rock mass and the geometrical properties.

(41) In this paper, spherically symmetric structures of the Brusselator are calculated in detail by using the bifurcation theory.

(42) Compare with the noble life, compare with the happiness of the human, all the trifling bifurcation are piffling .

(43) Thinking is entirely in accordance with the folder on the website Lane, that the fingerprints of the bifurcation point and endpoint position as a fingerprint eigenvalues.

(44) The accuracy of color ultrasound for stenosis of carotid bifurcation, subclavicular artery and vertebral artery were 93.0%, 92.8% and 82.1%.

(45) The results obtained here show that there exist uncontrollable regions in which chaos always takes place via heteroclinic bifurcation for the system with linear or cubic parametric excitation.

(46) Through the single-dynamic load model dynamic reactive power compensation device can change the original system bifurcation point, increase the load limits and improve the system voltage stability.

(47) Results The sensitivity and specificity of color ultrasound for stenosis of carotid bifurcation, subclavicular artery and vertebral artery were 96.8%, 80.6%, 60.0% and 98.7%, 33.3%, 89.0%.

(48) The analysis indicated that SVC control could delay saddle - node bifurcation point and enhance voltage stability greatly.

(49) It may be observed that this bifurcation phenomenon is somewhat abstract.

(50) The steady bifurcation and phenomenon of critical slowing down of the absorptive optical bistability equation are investigated by using new methods.

(51) In this paper, the emphasis are using bifurcation theory to research the effects ofload characteristics and generator dynamic parameter on the voltage stability.

(52) The bifurcation behavior of the coupled nonlinear normal mode is associated with detuning parameter and mode amplitude, but not with the nonlinear stiffness of uncoupling spring.

(53) To solve the problem of vessel bifurcation and overlap, an adaptive tracking algorithm based on the constraint of directional information measure is proposed.

(54) Discuss a growth model of Isochrysis galbana, obtain sufficient condition for boundedness, limiting quality, stability and bifurcation.

(55) In the meantime, it is also proven that the non transversal intersection mentioned above exactly corresponds to the static bifurcation point, i. e. the critical point of voltage collapse.

(56) Equilibrium shape and shape bifurcation of rotating liquid drops under acoustic levitation are studied in experiments.

(57) The local bifurcation properties of equilibrium solution of the system follows from our results, including the information of the existence and the numbers of the bifurcation solutions.

(58) Ifsaid is not, is not the bifurcation is false is sick.

(59) The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.

(60) A class of higher polynomial system with great significance is researched with the theory of limit cycles and bifurcation of the plane autonomous system.

(61) Theoretical calculation for prediction of optical unstability by SPW has been obtained and some experiments were carried out, optical unstability of self-pulsing, bifurcation and chaos were observed.

(62) Axisymmetrical bifurcation buckling of multilayer composite circular cylindrical shells under axial compression is discussed.

(63) Chaos Control for Several Chaotic Systems and Bifurcation Analysis in Single - Stage PFC Power Supplies.

(64) This paper evolves the measure of the system parameter corresponding to the bifurcation point (set) in parameter space and sets up the mathematical expression formula of the potential of accident.

(65) Numerical simulations show that period-doubling bifurcation also exists in the random non-smooth system, but different from that in the deterministic system.

(66) The critical value at bifurcation point of the side slope with bedding rock mass is determined by its bifurcation set.

(67) Second, loop Chua's circuits has two regulated bifurcation parameter resistors, they play a part in encryption key parameters and increase the difficulty of unmasking signals.

(68) The monition equations of airfoil are written as the four dimensional first order differential equations. Taking airspeed and the linear part of pitching stiffness as the bifurcation parameters.

(69) In chapter 2, center condition and bifurcation of limit cycles of quasi cubic system are i.

(69) try its best to collect and make good sentences.

(70) Bifurcation, symmetry and patterns.

(71) Both theoretical and experimental analyses are performed to investigate the limit cycle flutter bifurcation of a sweepback wing with an external store in the tip of the wing.

(72) Objective To study the anatomic characteristic of left comm on iliac vein and the caval bifurcation, and discuss the anatomic basis of the iliac vein compression syndrome.

(73) TRACING OF SINGULARITY INDUCED BIFURCATION IN POWER SYSTEM DIFFERENTIAL ALGEBRAIC EQUATION MODEL AND ITS THEORETICAL ANALYSIS.

(74) Objective To establish canine bifurcation saccular aneurysm models and study the causes of formation.

(75) The instability of the unbalanced system motion may result in doubling period bifurcation, almost periodic motion and chaotic motion.

(76) Simulation in the deterministic model elucidated a rhythm transition process governed by a period adding bifurcation scenario.

(77) It is proved that there exists a unique bifurcation point on the trivial solution of the cavitated bifurcation equation.

(78) The bifurcation process of cementite flake is changed by magnetic field. The cementite flakes in pearlite grains tend to be parallel with the increase of magnetic flux density.

(79) Results: 3 cases carotid body tumor all located carotid bifurcation, pushing internal carotid and external carotid move, highly enhancing.

(80) Using the software MATHMATIC, the responses of point near the bifurcation point were obtained.

(81) The aim of this paper is to demonstrate the use of the open loop control to change the nonlinear system parameters in order to obtain a desired equilibrium bifurcation diagram.

(82) The main contents in this course includes : qualitative theory in dynamical system, chaos and its numerical recognition, bifurcation theory, the synchronization and control of chaos.

(83) Limit induced bifurcation(LIB) by generator excitation voltage limit was studied, the critical limit was presented and a mechanism of LIB was proposed.

(84) Also hidden in his Buddha-like pose is a subtle foretelling of Darth Maul's death by bifurcation.

(85) The nonlinear response and bifurcation of piecewise dynamic system are investigated.

(86) If a bifurcation point of the plant, including a number of shoots, we usually removed the terminal bud to ensure the normal growth of other buds.

(87) The point at which branching of the graph occurs is called a bifurcation point and corresponds to a critical value of the load.

(88) The open loop control is used to adjust the bifurcation parameter in order to obtain a desired equilibrium bifurcation diagram.

(89) Chapter 6 of the introduction of nonlinear system stability and bifurcation theory of sport.

(90) This paper deals with period doubling, period- adding and chaotic behavier in the unijunction transistor second order circuit. The mechanism of bifurcation and chaos is discussed.

(91) The equations are calculated numerically and the results are analyzed. The results reveal that the system possesses varied chaotic motions and bifurcation phenome...

(92) Furthermore thetheand the route from bifurcation to chaos are also investigated in detail.

(93) As an application of our method, we solve the problems of center conditions and bifurcation of limit cycles at infinity for a quintic polynomial system.

(94) Finally, bifurcation points are extracted for different mutation regions using reassigned wavelet scalogram.

(95) Harper ? ? s modular theory, the bifurcation ratios of Pinus massoniana were studied.

(96) Furthermore, the localization shear band bifurcation takes place at the point in the strain softening area, and the point would be far from the peak point with the increment of lateral pressure.

(97) Methods The maximum principle, monotone method, bifurcation theory, the perturbation theorem for linear operators and the stability theorem for bifurcation solutions were used.

(98) Bifurcation and chaos of periodic motions of a single-degree-of-freedom system with piecewise - linearity is studied.

(99) Conclusion: Animal model of spinal cord ischemia can be made by the ligation of different levels of lumbar artery between the left renal artery and arterial bifurcation.

(100) The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.

(101) A mathematical expression of the accident potentiality is set up by measuring the system parameter corresponding to bifurcation point (set) in parameter space.

(102) The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.

(103) The subharmonic motions, stabilities and bifurcation problems for a simplified model of shaker are considered.

(104) The North Channel is the north distributary of the second order bifurcation and one of the Changjiang Estuary's main channels into the sea.

(105) In this paper, we report the calculation results of bifurcation diagrams in liquid crystal (LC) hybrid optical bistability.

(106) The bifurcation point of the strip plate under the dual-mode displacement was obtained and the stability of bifurcation point was also discussed using the averaging method.

(107) A spherical cavitated bifurcation problem is examined sphere composed of a class of compressible hyper - elastic materials.

(108) A new structure of BOA ( BOA - Bifurcation Optique Active ) electro - optic switch is proposed in this paper.

(109) The local bifurcation characteristic near by codimension two bifurcation point is discus sed, which testifies that the local dynamical behavior of map f(v , X)may be known under the condition of cod.

(110) However the limit transient power point of the system is not the saddle node bifurcation point when the constant current or constant resistance load model is adopted.

(111) Firstly, the model of rigid basic pile is studied in this paper, and the nonlinear bifurcation characteristics of this kind of model with parametric excitation are explored in detail.