On the Chaotic Dynamics Associated with the Center Manifold Equations of Double-Diffusive Convection Near a Codimension-Four Bifurcation Point at Moderate Thermal Rayleigh Number
DOI10.1142/S0218127418500943zbMath1395.37023WikidataQ129406575 ScholiaQ129406575MaRDI QIDQ4583270
Jerry F. Magnan, Justin S. Eilertsen
Publication date: 28 August 2018
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
torus-breakdownchaotic double-diffusive thermosolutal convectiondiscrete Lorenz-like attractornonlinearly-coupled van der Pol-Duffing equation
PDEs in connection with fluid mechanics (35Q35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Inertial manifolds (35B42) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Homoclinic tangencies to resonant saddles and discrete Lorenz attractors
- 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
- The reversal and chaotic attractor in the nonholonomic model of Chaplygin's top
- Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation
- Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors
- Symmetry-increasing bifurcation of chaotic attractors
- 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
- Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points
- Quasi-Periodic Bifurcations of Higher-Dimensional Tori
- 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
- Rotating Thermal Convection: Neosteady and Neoperiodic Solutions
- Oscillations in double-diffusive convection
- Nonlinear periodic convection in double-diffusive systems
- Heteroclinic bifurcations in a simple model of double-diffusive convection
- Chaos in magnetoconvection
- An example of a wild strange attractor
- 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
