Symmetry breaking and fractal dependence on initial conditions in dynamical systems: Ordinary differential equations of thermal convection

DOI10.1016/S0960-0779(98)00002-2zbMath0942.76016MaRDI QIDQ1809611

Yanyan Li

Publication date: 21 August 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

symmetry breakingthermal convectionthree-dimensional dynamical systemco-existing attractorsquasi-fractal basin boundarystable manifolds of symmetric repellers

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Convection in hydrodynamic stability (76E06) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (2)

The Effects of Symmetry Breaking Perturbation on the Dynamics of a Novel Chaotic System with Cyclic Symmetry: Theoretical Analysis and Circuit Realization ⋮ Reversal of period doubling, multistability and symmetry breaking aspects for a system composed of a van der Pol oscillator coupled to a Duffing oscillator

Cites Work

• Equivariant bifurcation theory and symmetry breaking
• Structure and crises of fractal basin boundaries.
• Symmetry-breaking and fractal dependence on initial conditions in dynamical systems: One-dimensional noninvertible mappings
• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
• Strange attractors and chaotic motions of dynamical systems
• The dynamics of triple convection
• Solution multistability in first‐order nonlinear differential delay equations
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