(ω ,c)-periodic solutions for time-varying non-instantaneous impulsive differential systems

2021 ◽  
pp. 1-21
Author(s):  
Kui Liu ◽  
Michal Fečkan ◽  
Donal O'Regan ◽  
JinRong Wang
Keyword(s):  
Periodic Solutions ◽  
Time Varying ◽  
Differential Systems ◽  
Impulsive Differential Systems

A Wavelet Based Procedure to Study Vibrations and Stability

1999 ◽  
Author(s):  
S. Pernot ◽  
C. H. Lamarque
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
Nonlinear Systems ◽  
Periodic Solutions ◽  
Time Varying ◽  
Differential Systems ◽  
Varying Coefficients ◽  
Linear Differential Systems ◽  
Time Varying Coefficients ◽  
Linear Differential

Abstract A Wavelet-Galerkin procedure is introduced in order to obtain periodic solutions of multidegrees-of-freedom dynamical systems with periodic time-varying coefficients. The procedure is then used to study the vibrations of parametrically excited mechanical systems. As problems of stability analysis of nonlinear systems are often reduced after linearization to problems involving linear differential systems with time-varying coefficients, we demonstrate the method provides efficient practical computations of Floquet exponents and consequently allows to give estimators for stability/instability levels. A few academic examples illustrate the relevance of the method.

scholarly journals Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Qizhen Xiao ◽  
Binxiang Dai
Keyword(s):  
Differential Equation ◽  
Numerical Simulations ◽  
Periodic Solutions ◽  
Impulsive Differential Equation ◽  
Geometrical Analysis ◽  
Differential Systems ◽  
Impulsive Differential Systems ◽  
Analysis Methods ◽  
State Dependent ◽  
Existence Of Periodic Solutions

We study the existence of periodic solutions for a class of state-dependent impulsive differential systems via geometrical analysis methods. Our results show that these periodic solutions are generated by impulses. Moreover, numerical simulations are used to examine the existence of the periodic solutions.

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