Existence of Heteroclinic Orbits in Fractional-Order and Integer-Order Coupled Lorenz Systems
Abstract
Applying two Lyapunov functions and the concepts of α-/ω-limit sets, this paper reexamines fractional-order and integer-order coupled Lorenz systems and simultaneously proves the existence of twelve heteroclinic orbits, i.e., four ones to S0 and S5,6,7,8, four pairs of ones to S1 and S5,7, S3 and S5,6, S2 and S6,8, S4 and S7,8 when r−1>0, b≥2σ>0 and ac
Fields of Study & Subjects
Chaos control and synchronization
Advanced Control Systems Design
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Fractal and Fractional
- Publisher
- MDPI AG
- Volume
- 10
- Issue
- 1
- Pages
- 36–36
- Publication date
- 7 January 2026
- Language
- EN