Asymptotically exact codimension-four dynamics and bifurcations in two-dimensional thermosolutal convection at high thermal Rayleigh number: chaos from a quasi-periodic homoclinic explosion and quasi-periodic intermittency

DOI10.1016/j.physd.2018.06.004zbMath1415.37046OpenAlexW2811415007MaRDI QIDQ2000678

Jerry F. Magnan, Justin S. Eilertsen

Publication date: 28 June 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2018.06.004

zbMATH Keywords

double-diffusive convectioncodimension-four unfoldingdiscrete Lorenz-like attractorsnonlinearly-coupled van der Pol-Duffing equationsquasiperiodic homoclinic explosionquasiperiodic intermittency

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Diffusion (76R50) Bifurcations of singular points in dynamical systems (37G10) Free convection (76R10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

On the birth of discrete Lorenz attractors under bifurcations of 3D maps with nontransversal heteroclinic cycles ⋮ Motion of a smooth foil in a fluid under the action of external periodic forces. I. ⋮ Lorenz- and Shilnikov-Shape Attractors in the Model of Two Coupled Parabola Maps ⋮ On discrete Lorenz-like attractors

Cites Work

• Unnamed Item
• From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers
• Using MAPLE for the analysis of bifurcation phenomena in condensed-phase surface combustion
• Symmetry-increasing bifurcation of chaotic attractors
• Preturbulence: A regime observed in a fluid flow model of Lorenz
• On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
• Chaos in a low-order model of magnetoconvection
• Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps
• A MACSYMA program for the multiple bifurcation analysis of double- diffusive convection
• Richness of chaotic dynamics in nonholonomic models of a Celtic stone
• Amplitude Equations for Systems with Competing Instabilities
• Bifurcations and chaos in single-roll natural convection with low Prandtl number
• An Introduction to the Technique of Reconstitution
• Transitions to chaos in two-dimensional double-diffusive convection
• Rotating Thermal Convection: Neosteady and Neoperiodic Solutions
• The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
• Oscillations in double-diffusive convection
• Nonlinear periodic convection in double-diffusive systems
• Chaos in models of double convection
• Heteroclinic bifurcations in a simple model of double-diffusive convection
• Stability, Instability and Chaos
• Chaos in magnetoconvection
• Strong spatial interactions with 1:1 resonance: a three-layer convection problem
• Deterministic Nonperiodic Flow
• Crises, sudden changes in chaotic attractors, and transient chaos
• Examples of Lorenz-like Attractors in Hénon-like Maps
• THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS
• Normal forms and chaos in thermosolutal convection
• Global bifurcations in the Takens-Bogdanov normal form with \(D_4\) symmetry near the \(O(2)\) limit

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