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Dynamical modeling and non-planar coupled behavior of inclined CFRP cables under simultaneous internal and external resonances
A dynamic model for an inclined carbon fiber reinforced polymer (CFRP) cable is established, and the linear and nonlinear dynamic behaviors are...
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New way to construct high order Hamiltonian variational integrators
This paper develops a new approach to construct variational integrators. A simplified unconventional Hamilton’s variational principle corresponding...
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Contrast structure for singular singularly perturbed boundary value problem
The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal...
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Impulsive effects on global stability of models based on impulsive differential equations with “supremum” and variable impulsive perturbations
Sufficient conditions are investigated for the global stability of the solutions to models based on nonlinear impulsive differential equations with...
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Step-like contrast structure for class of nonlinear singularly perturbed optimal control problem
The step-like contrast structure for a class of nonlinear singularly perturbed optimal control problems is considered. The existence of the step-like...
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A class of boundary value problems for third-order differential equation with a turning point
A class of boundary value problems for a third-order differential equation with a turning point is considered. Using the method of multiple scales...
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Dynamical behavior of traveling wave solutions of ion acoustic plasma equations
By using the theory of planar dynamical systems to the ion acoustic plasma equations, we obtain the existence of the solutions of the smooth and...
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A class of singular perturbation solutions to semilinear equations of fourth order
A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable...
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A heterogeneous boundedly rational expectation model for housing market
This research aims to test the housing price dynamics when considering heterogeneous boundedly rational expectations such as naive expectation,...
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Minimizing sequences of variational problems with small parameters
A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the...
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Singularly perturbed solution for weakly nonlinear equations with two parameters
A class of singularly perturbed boundary value problems of weakly nonlinear equation for fourth order on the interval [ a , b ] with two parameters is...
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Non-linear dynamic model retrieval of subtropical high based on empirical orthogonal function and genetic algorithm
Aiming at the difficulty of accurately constructing the dynamic model of subtropical high, based on the potential height field time series over 500...
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Bifurcations of travelling wave solutions in variant Boussinesq equations
The bifurcations of solitary waves and kink waves for variant Boussinesq equations are studied by using the bifurcation theory of planar dynamical...
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Prediction techniques of chaotic time series and its applications at low noise level
The paper not only studies the noise reduction methods of chaotic time series with noise and its reconstruction techniques, but also discusses...
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What are the separatrix values named by Leontovich on homoclinic bifurcation
For a given system, by using the Tkachev method which concerned with the proof of the stability of a multiple limit cycle, the exact computation...
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Analysis and applied study of dynamic characteristics of chaotic repeller in complicated system
Fractal characters and fractal dimension of time series created by repeller in complicated system were studied and the time series were reconstructed...
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Shift of shock position for a class of nonlinear singularly perturbed problems
The shift of shock position for a class of nonlinear singularly perturbed problems is considered using a special and simple method. The location of...
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Impulsive control of chaotic attractors in nonlinear chaotic systems
Based on the study from both domestic and abroad, an impulsive control scheme on chaotic attractors in one kind of chaotic system is presented. By...
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Study on prediction methods for dynamic systems of nonlinear chaotic time series
The prediction methods for nonlinear dynamic systems which are decided by chaotic time series are mainly studied as well as structures of nonlinear...
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On the periodic solutions of differential inclusions and applications
The periodic problem of evolution inclusion is studied and its results are used to establish existence theorems of periodic solutions of a class of...