Nonlinear Art Gallery

Welcome to my Nonlinear Art Gallery! Nonlinear systems are fascinating objects that give rise to complex and intricate phenomena, often associated with beautiful geometric structures. In this gallery, I have curated a collection of "mathematical pieces of art", some of which are from my own research, and others well-known in the literature. While these works originate from the realm of scientific inquiry, my intention is to showcase their artistic appeal. I invite you to take a moment to browse through the gallery and appreciate the captivating beauty of nonlinear dynamics.

Bifurcation diagram for a Gauss Iterated Map.


Scientific details in:

https://hal.archives-ouvertes.fr/hal-02388470

Bifurcation diagram for a symmetric bistable vibration energy harvester excited by a harmonic forcing.


Scientific details in:

https://hal.archives-ouvertes.fr/hal-02388470

Bifurcation diagram for a symmetric bistable vibration energy harvester excited by a harmonic forcing.


Scientific details in:

https://hal.archives-ouvertes.fr/hal-02388470

Basins of attraction for a symmetric bistable vibration energy harvester excited by a harmonic forcing.


Scientific details in:

https://hal.archives-ouvertes.fr/hal-01633207

Basins of attraction for a symmetric bistable vibration energy harvester excited by a harmonic forcing.


Scientific details in:

https://arxiv.org/abs/2209.06906

Basins of attraction for a asymmetric bistable vibration energy harvester excited by a harmonic forcing.


Scientific details in:

https://arxiv.org/abs/2209.06906

Poincaré section for a symmetric bistable vibration energy harvester excited by a harmonic forcing.


Scientific details in:

https://hal.archives-ouvertes.fr/hal-01471301

Attractors for a symmetric bistable vibration energy harvester excited by a harmonic forcing.


Scientific details in:

https://arxiv.org/abs/2209.06906

Standard Map.


Scientific details in:

https://en.wikipedia.org/wiki/Standard_map

Mandelbrot set.


Scientific details in:

https://en.wikipedia.org/wiki/Mandelbrot_set