A kinetic model of the piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring is established. Bifurcation of the resonance solution to a suspension system with two degr...A kinetic model of the piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring is established. Bifurcation of the resonance solution to a suspension system with two degrees of freedom is investigated with the singularity theory. Transition sets of the system and 40 groups of bifurcation diagrams are obtained. The local bifurcation is found, and shows the overall character- istics of bifurcation. Based on the. relationship between parameters and the topological bifurcation solutions, motion characteristics with different parameters are obtained. The results provides a theoretical basis for the optimal control of vehicle suspension system parameters.展开更多
This paper investigates the stability of the equilibria of the piecewise-linear models of genetic regulatory networks on the intersection of the thresholds of all variables. It first studies circling trajectories and ...This paper investigates the stability of the equilibria of the piecewise-linear models of genetic regulatory networks on the intersection of the thresholds of all variables. It first studies circling trajectories and derives some stability conditions by quantitative analysis in the state transition graph. Then it proposes a common Lyapunov function for convergence analysis of the piecewise-linear models and gives a simple sign condition. All the obtained conditions are only related to the constant terms on the right-hand side of the differential equation after bringing the equilibrium to zero.展开更多
This paper uses canonical piecewise-linear analysis method to analyze nonlinear DC fault circuitsand solve for the values of the test port voltages which are selected beforehand .The method needs lessmemory storages,o...This paper uses canonical piecewise-linear analysis method to analyze nonlinear DC fault circuitsand solve for the values of the test port voltages which are selected beforehand .The method needs lessmemory storages,obtains the results in finite steps and has high efficiency in computation.It can be appliedto the circuits containing multiport nonlinear elements.It is a good method of pre-test analysis for fault cir-cuits in simulation-before-test aproach in analogue circuit diagnosis.展开更多
基金supported by the National Natural Science Foundation of China (No. 10632040)
文摘A kinetic model of the piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring is established. Bifurcation of the resonance solution to a suspension system with two degrees of freedom is investigated with the singularity theory. Transition sets of the system and 40 groups of bifurcation diagrams are obtained. The local bifurcation is found, and shows the overall character- istics of bifurcation. Based on the. relationship between parameters and the topological bifurcation solutions, motion characteristics with different parameters are obtained. The results provides a theoretical basis for the optimal control of vehicle suspension system parameters.
基金supported by the National Natural Science Foundation of China (Grant No. 60672029)
文摘This paper investigates the stability of the equilibria of the piecewise-linear models of genetic regulatory networks on the intersection of the thresholds of all variables. It first studies circling trajectories and derives some stability conditions by quantitative analysis in the state transition graph. Then it proposes a common Lyapunov function for convergence analysis of the piecewise-linear models and gives a simple sign condition. All the obtained conditions are only related to the constant terms on the right-hand side of the differential equation after bringing the equilibrium to zero.
文摘This paper uses canonical piecewise-linear analysis method to analyze nonlinear DC fault circuitsand solve for the values of the test port voltages which are selected beforehand .The method needs lessmemory storages,obtains the results in finite steps and has high efficiency in computation.It can be appliedto the circuits containing multiport nonlinear elements.It is a good method of pre-test analysis for fault cir-cuits in simulation-before-test aproach in analogue circuit diagnosis.
