Dynamics at Infinity and on Invariant Algebraic Surfaces of a Generalized Lorenz-Type System
In this paper, we investigate the global dynamics of a generalized Lorenz-type system. We determine the phase portrait at infinity under the Poincaré compactification in [Formula: see text]. Moreover, we analyze the dynamics restricted to invariant algebraic surfaces and provide a global description of the phase portraits.
Authors
- Wenzhe Cui (ORCID: https://orcid.org/0000-0002-5284-9378)
- Jaume Llibre (ORCID: https://orcid.org/0000-0002-9511-5999)
Institutions
- Universitat Autònoma de Barcelona (ES)
- Sun Yat-sen University (CN)
Publication Details
- Journal
- International Journal of Bifurcation and Chaos
- Published
- 2026-09-28
- DOI
- https://doi.org/10.1142/s0218127427500088
- Primary Topic
- Chaos control and synchronization
- Type
- article
- Field-Weighted Citation Impact
- 0.00