Stability Analysis of Pantograph Delay Differential Equations
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910245017616384 |
|---|---|
| author | Bhalekar, Sachin |
| author_facet | Bhalekar, Sachin |
| contents | This article investigates the stability of pantograph delay differential equations, in which the delayed argument is proportional to the present time. We derive analytic criteria that partition the parameter plane into unstable, asymptotically stable, and delay-dependent stability regions. The theoretical results are supported by numerical simulations that illustrate the sharpness of the stability boundaries. We also formulate a proportional-delay analogue of the Mackey--Glass chaotic delay differential equation and examine the resulting dynamical behaviour. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22019 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stability Analysis of Pantograph Delay Differential Equations Bhalekar, Sachin Dynamical Systems Numerical Analysis 34K20, 34K06, 37C75, 37D45 This article investigates the stability of pantograph delay differential equations, in which the delayed argument is proportional to the present time. We derive analytic criteria that partition the parameter plane into unstable, asymptotically stable, and delay-dependent stability regions. The theoretical results are supported by numerical simulations that illustrate the sharpness of the stability boundaries. We also formulate a proportional-delay analogue of the Mackey--Glass chaotic delay differential equation and examine the resulting dynamical behaviour. |
| title | Stability Analysis of Pantograph Delay Differential Equations |
| topic | Dynamical Systems Numerical Analysis 34K20, 34K06, 37C75, 37D45 |
| url | https://arxiv.org/abs/2605.22019 |