Basins of Attraction: A Dynamical Zoo
arXiv:2504.01580 · doi:10.1142/S0218127425300241
Abstract
Research in multistable systems is a flourishing field with countless examples and applications across scientific disciplines. I present a catalog of multistable dynamical systems covering relevant fields of knowledge. This work is focused on providing a research tool to the community in the form classified examples and computer code to reproduce basins of attraction. The companion code to this article can be found at https://github.com/awage/BasinsCollection or https://doi.org/10.5281/zenodo.15124200.
References in corpus (18)
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Dynamics of Random Neural Networks with Bistable Units
- Basins of Attraction for Chimera States
- The Bogdanov Map: Bifurcations, Mode Locking, and Chaos in a Dissipative System
- Riddled Basins of Attraction in Systems Exhibiting Extreme Events
- Doubly Transient Chaos: The Generic Form of Chaos in Autonomous Dissipative Systems
- Enhanced stability, bistability, and exceptional points in saturable active photonic couplers
- Chaotic dynamics and fractal structures in experiments with cold atoms
- Effortless estimation of basins of attraction
- A new deterministic model for chaotic reversals
- Wada property in systems with delay
- Wada structures in a binary black hole system
- Core motifs predict dynamic attractors in combinatorial threshold-linear networks
- Framework for global stability analysis of dynamical systems
- Chaotic saddles and interior crises in a dissipative nontwist system
- Using the basin entropy to explore bifurcations
- When you can't count, sample! Computable entropies beyond equilibrium from basin volumes
- Planetary Influences on the Solar Cycle: A Nonlinear Dynamics Approach