In this paper we study the bifurcation and chaos of discontinuous oscillator with strong nonlinearities having smooth and discontinuous *** equilibriums bifurcation and the unperturbed system are investigated;it is fo...
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In this paper we study the bifurcation and chaos of discontinuous oscillator with strong nonlinearities having smooth and discontinuous *** equilibriums bifurcation and the unperturbed system are investigated;it is found that this discontinuous system exhibits both discontinuous pitchfork and discontinuous
Based on the traditional scheme for the nonlinear system with multiple time scales,the enveloping slow-fast analysis method is developed in the paper,which can be employed to investigate the dynamics of nonlinear fiel...
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Based on the traditional scheme for the nonlinear system with multiple time scales,the enveloping slow-fast analysis method is developed in the paper,which can be employed to investigate the dynamics of nonlinear fields with multiple time scales with periodic *** using the method,the behaviors of the kinetic model of
We have studied the motion of underdamped Brownian particles in a periodic potential subjected to a cosinoidal external signal driven by Gaussian colored noise. Compared with the system driven by Gaussian white noise ...
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We have studied the motion of underdamped Brownian particles in a periodic potential subjected to a cosinoidal external signal driven by Gaussian colored noise. Compared with the system driven by Gaussian white noise the particles are also shown to be effectively in two and only two dynamical states of their trajectories with distinct amplitudes and phase lag to the external *** dynamical states are
Based on stochastic resonance the concept of logical stochastic resonance was put *** of a continuous system driven by Gaussian white noise here we mainly studied a nonlinear bistable system with two thresholds driven...
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Based on stochastic resonance the concept of logical stochastic resonance was put *** of a continuous system driven by Gaussian white noise here we mainly studied a nonlinear bistable system with two thresholds driven by dichotomous noise which show a phenomenon different from white *** can
In general dry friction described the reaction between two solid bodies in contact with each other when they are in motion(kinetic friction) and when they are not(static friction).Both static and kinetic frictions are...
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In general dry friction described the reaction between two solid bodies in contact with each other when they are in motion(kinetic friction) and when they are not(static friction).Both static and kinetic frictions are proportional to the normal force exerted between the two solid *** instance the normal force between theground and an object is the force of gravity of that object when the ground id level.
This paper investigates the generation of complex bursting patterns in Van der Pol system with two slowly changing external *** bursting patterns, including complex periodic bursting and chaotic bursting are presented...
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This paper investigates the generation of complex bursting patterns in Van der Pol system with two slowly changing external *** bursting patterns, including complex periodic bursting and chaotic bursting are presented for the cases when the two frequencies are commensurate and *** complex bursting patterns are novel and have not been reported in previous *** on the
A class of discrete-time Cohen-Grossberg neural networks with discrete delays and ring-architecture are investigated in this *** analyzing the corresponding characteristic equations the existence of Neimark-Sacker bif...
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A class of discrete-time Cohen-Grossberg neural networks with discrete delays and ring-architecture are investigated in this *** analyzing the corresponding characteristic equations the existence of Neimark-Sacker bifurcations at the origin are *** applying the normal form theoryand the center manifold theorem the
This article presents the simulation and experimental studies for the nonlinear time delayed dynamical systems with uncertainties.A rotary flexible joint made by Quanser is chosen as the model system and we investigat...
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This article presents the simulation and experimental studies for the nonlinear time delayed dynamical systems with uncertainties.A rotary flexible joint made by Quanser is chosen as the model system and we investigate the sliding mode control design *** considered the geometric nonlinearity of the flexible joint
We are devoted to a stochastic averaging principle for a class of stochastic differential equations(SDEs) driven by fractional Brownian motion with the Hurst parameter H in the interval(1/2 1 ) where stochastic integr...
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We are devoted to a stochastic averaging principle for a class of stochastic differential equations(SDEs) driven by fractional Brownian motion with the Hurst parameter H in the interval(1/2 1 ) where stochastic integral in this paper is defined as the pathwise symmetric type of fractional Brownian motion on a finite interval
In this paper a vibration absorber utilizing a discontinuous spring characteristic is *** spring characteristic is achieved using two sets of plate spring with different stiffness shown as Fig.1. From Fig.1 it can als...
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In this paper a vibration absorber utilizing a discontinuous spring characteristic is *** spring characteristic is achieved using two sets of plate spring with different stiffness shown as Fig.1. From Fig.1 it can also be seen that a mass is attached to one set of the plate springs with relatively smaller stiffness and the mass oscillates between the two short wall of a H-shaped plate *** absorber has the following advantages.(1 )
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