Oscillatory and periodic solutions in alternately advanced and ...

Oscillatory behavior of integro-dynamic and integral equations on ...

In this thesis, we study periodic solutions and stability of differential equations with piecewise constant argument of generalized type. These equations ...

Preservation of stability and oscillation of Euler-Maclaurin method ...

We show that the Euler-Maclaurin method preserves the oscillation of the exact solution. In addition, the connection between stability and ...

Periodic Solutions and Stability Analysis for Two-Coupled-Oscillator ...

In particular, the existence and number of periodic solutions are investigated by establishing the curvilinear coordinate and constructing a Poincaré map to ...

Semicycles and correlated asymptotics of oscillatory solutions to ...

... alternately advanced and delayed differential systems, J. Math. Anal. Appl ... Liu, The existence of periodic solutions for second-order delay differential ...

Oscillatory Motion - Definition, Examples, Differences - BYJU'S

... periodic motion and oscillatory motion, please visit BYJU'S. ... Alternating current is an electrical example of oscillatory motion; Series ...

Approximate periodic solution for the large-amplitude oscillations of ...

This paper presents approximate periodic solutions to the anharmonic (ie not harmonic or non-sinusoidal) response of a simple pendulum undergoing moderate- to ...

Understanding bursting oscillations as periodic slow passages ...

This solution is jumping periodically between a slowly varying steady state and a slowly varying oscillatory state. Each jump follows a slow passage through a ...

Self-organized alternating chimera states in oscillatory media - Nature

Oscillatory media can exhibit the coexistence of synchronized and desynchronized regions, so-called chimera states, for uniform parameters ...

Chapter 23 Simple Harmonic Motion

x,0 ≠ 0. 23.2.1 General Solution of Simple Harmonic Oscillator Equation. Suppose 1( ). x t and 2 ( ).

https://dergipark.org.tr/en/pub/cfsuasmas/issue/58214/785502.xml

... Oscillatory and periodic solutions in alternately advanced and delayed differential equations, Carpathian J. Math., 29 (2) (2013), 149--158. ...

Unpredictable Oscillations for Hopfield-Type Neural Networks with ...

Coronel, Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems, J. Math. Anal. Appl., № 450, с. 1434 https://doi ...

Stability and Oscillation of θ-methods for Differential Equation with ...

This paper studies the numerical properties of θ-methods for the alternately advanced and retarded differential equation u′(t) = au(t)+bu(2[(t+1)/ ...

Oscillation of a nonlinear impulsive differential equation system with ...

... Oscillatory and periodic solutions of delay differential equations with piecewise ... models with a general piecewise alternately advanced and retarded argument.

Harmonic oscillator - Wikipedia

If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations ...

#9467 - Oscillation and Periodicity of a Second Order Impulsive ...

Moreover, oscillation, nonoscillation and ... , 2022, Periodic solutions of impulsive differential equations with piecewise alternately advanced ...

On a New Class of Oscillations - Scholarly Commons

Although the doctrine of oscillations and of bodies in alternating motion has been subjected to much ... alternately advance and return in opposite directions.

Oscillation analysis of advertising capital model: : Analytical and ...

Secondly, the asymptotic behavior of non-oscillatory analytic solution is verified. Thirdly, the θ-methods are applied to the mentioned equation ...

Oscillations of Solutions of Neutral Nonlinear Differential Equations

This paper aims to establish a new class of differential equations and study the oscillatory behavior of a kind of first-order neutral nonlinear ...

on the continuation of periodic orbits - International Press of Boston

Oscillations play a prominent role in many physical and bio- logical systems where an important problem is to determine if spontaneous oscillatory activity ...

Stability and Oscillation of θ-methods for Dif- ferential Equation with ...

model with piecewise alternately advanced and retarded argument. Comput ... Periodic solutions of a neutral differential equation with piecewise constant argu-.