7 citations · 14 across the 5 of their papers we have counts for
5 papers
An exact solution for a non-autonomous delay differential equation
Kenta Ohira
We derive an exact solution for a simple non-autonomous delay differential equation (DDE) over the entire real-time axis, representing it as a sum of Gaussian-shaped dynamics with…
Amplitude Enhancements through rewiring of a non-autonomous delay system
Kenta Ohira, Toru Ohira, Hideki Ohira
Complex systems, such as biological networks, often exhibit intricate rhythmic behaviors that emerge from simple, small-amplitude dynamics in individual components. This study expl…
Solving a Delay Differential Equation through Fourier Transform
Kenta Ohira, Toru Ohira
In this study, we introduce and explore a delay differential equation that lends itself to explicit solutions in the Fourier-transformed space. Through the careful alignment of the…
Transient Reviving Dynamics with an Exact Solution for Delay Differential Equations
Kenta Ohira, Toru Ohira
We present a new approach to examine transient dynamics in a class of non-autonomous delay differential equations. Exact solutions for these equations are obtained using the Lamber…
Resonating Delay Equation
Kenta Ohira
We propose here a delay differential equation that exhibits a new type of resonating oscillatory dynamics. The oscillatory transient dynamics appear and disappear as the delay is i…