# Advanced Differential Equations and Dynamical Systems

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/advanced-differential-equations-and-dynamical-systems/

## Facts

| Field | Value |
| --- | --- |
| Citations | 446,188 |
| Description | This cluster of papers focuses on the study of bifurcations in planar polynomial systems, particularly emphasizing piecewise linear structures, limit cycles, Hopf bifurcations, discontinuous systems, nilpotent singularities, Darboux integrability, and Abelian integrals. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T12396 |
| Works | 54,438 |

## Topic researchers

Showing 12 of 20.

- [Dumitru Bǎleanu](https://scholariq.org/researchers/dumitru-baleanu/)
- [Leon O. Chua](https://scholariq.org/researchers/leon-o-chua/)
- [James A. Yorke](https://scholariq.org/researchers/james-a-yorke/)
- [Shuzhi Sam Ge](https://scholariq.org/researchers/shuzhi-sam-ge/)
- [Ahmed Alsaedi](https://scholariq.org/researchers/ahmed-alsaedi/)
- [Jerrold E. Marsden](https://scholariq.org/researchers/jerrold-e-marsden/)
- [Élliott H. Lieb](https://scholariq.org/researchers/elliott-h-lieb/)
- [R. E. Kalman](https://scholariq.org/researchers/r-e-kalman/)
- [Eduardo D. Sontag](https://scholariq.org/researchers/eduardo-d-sontag/)
- [Philip Holmes](https://scholariq.org/researchers/philip-holmes/)
- [P.V. Kokotović](https://scholariq.org/researchers/p-v-kokotovic/)
- [H. M. Srivastava](https://scholariq.org/researchers/h-m-srivastava/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.