Nested Feigenbaum cascades and Shil’nikov-like dynamics in convection of binary mixtures
Abstract
Numerical continuation and stability analysis of periodic orbits are used to analyze, under a dynamical systems point of view, the time dependent dynamics that arise from the steady convection of a H 2 -Xe gas mixture, driven by lateral temperature and low concentration gradients. Both Soret and Dufour effects are taken into account. A bifurcation diagram consisting of sequences of period-doubling and saddle-node bifurcations is unfold. They give rise to a series of nested Feigenbaum cascades in a narrow region of the parameter space. Several types of cyclic and chaotic solutions close to heteroclinic orbits were found in the interval of the control parameter where the periodic orbits are unstable. The relations between them are established.
Fields of Study & Subjects
Nonlinear Dynamics and Pattern Formation
Chaos control and synchronization
Fluid Dynamics and Turbulent Flows
Publication details
- Journal / source
- Communications in Nonlinear Science and Numerical Simulation
- Publisher
- Elsevier BV
- Volume
- 158
- Pages
- 109829–109829
- Publication date
- 12 February 2026
- Language
- EN