Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2026
|
| Online Access: | https://doi.org/10.5281/zenodo.19457267 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- <p>In this work, we introduce a novel three-dimensional nonlinear dynamical system, hereafter referred to as the Ruiz system, characterized by the interplay of bilinear, quadratic, and trigonometric nonlinearities. </p> <p>We rigorously establish its dissipative nature through explicit computation of the divergence and provide analytical insights into boundedness via Lyapunov-type estimates. The existence of an absorbing region is demonstrated, ensuring long-term confinement of trajectories in phase space.</p> <p>A detailed equilibrium and linear stability analysis is conducted, revealing parameter-dependent transitions in dynamical behavior. Numerical simulations, including bifurcation diagrams and Lyapunov exponent spectra, indicate the emergence of complex dynamics and sensitivity to initial conditions.</p> <p>Although a rigorous proof of the existence of a strange attractor remains open, the system exhibits strong qualitative and quantitative signatures of dissipative chaos, positioning it as a candidate for further analytical and computational investigation within the theory of nonlinear dynamical systems.</p> <p> </p>