Bifurcations and Hyperchaos in Magnetoconvection of Non-Newtonian Fluids

DOI10.1142/S0218127418300343zbMath1402.34049OpenAlexW2894368291MaRDI QIDQ4691123

G. C. Layek, N. C. Pati

Publication date: 18 October 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418300343

zbMATH Keywords

bifurcationsmagnetoconvectionhyperchaoslow-dimensional systemperiod-doubling route to chaosnon-Newtonian couple-stress fluid

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Magnetohydrodynamics and electrohydrodynamics (76W05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Thermal Instability and Chaos in a Hybrid Nanofluid Flow ⋮ Control of chaos in thermal convection loop by state space linearization ⋮ Chaotic convection in an Oldroyd viscoelastic fluid in saturated porous medium with feedback control ⋮ Dynamics of a High-Order Generalized Lorenz Model for Magnetoconvection ⋮ Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation ⋮ Multistability for nonlinear acoustic-gravity waves in a rotating atmosphere

Cites Work

• Unnamed Item
• Unnamed Item
• A hyperbolic Lindstedt-Poincaré method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators
• An equation for hyperchaos
• Effect of the induced magnetic field on peristaltic flow of a couple stress fluid
• Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
• Chaotic thermal convection of couple-stress fluid layer
• Bifurcations and chaos in convection taking non-Fourier heat-flux
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Singularities of vector fields
• Chaos-based image encryption algorithm
• Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hyperbolic perturbation method
• Computation of universal unfolding of the double-zero bifurcation in -symmetric systems by a homological method
• Magnetoconvection
• Nonlinear convection in an imposed horizontal magnetic field
• DYNAMICS OF A HYPERCHAOTIC LORENZ SYSTEM
• HYPERCHAOS IN A SIMPLE CNN
• Nonlinear interaction of magnetic field and convection
• HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS
• Hyperchaotic behaviour of two bi-directionally coupled Chua's circuits
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• An Introduction to Dynamical Systems and Chaos
• Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers
• Local Bifurcation Analysis and Global Dynamics Estimation of a Novel 4-Dimensional Hyperchaotic System
• Elements of applied bifurcation theory