The Jacobi Stability of a Lorenz-Type Multistable Hyperchaotic System with a Curve of Equilibria

DOI10.1142/S0218127419500627zbMath1419.34138OpenAlexW2948447754MaRDI QIDQ5379860

Yuming Chen, Zongbin Yin

Publication date: 14 June 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419500627

zbMATH Keywords

hyperchaosJacobi stabilityLorenz-type systemKCC-theorycurve of equilibria

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (10)

Kosambi–Cartan–Chern Stability in the Intermediate Nonequilibrium Region of the Brusselator Model ⋮ Kosambi–Cartan–Chern Analysis of the Nonequilibrium Singular Point in One-Dimensional Elementary Catastrophe ⋮ Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system ⋮ Qualitative geometric analysis of traveling wave solutions of the modified equal width Burgers equation ⋮ Dynamics and Jacobi stability of the controlled 3D Hindmarsh-Rose neuron model ⋮ Multistability and Hidden Attractors in a Three-Dimensional Chaotic System ⋮ Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system ⋮ KCC Analysis of a One-Dimensional System During Catastrophic Shift of the Hill Function: Douglas Tensor in the Nonequilibrium Region ⋮ Jacobi Stability Analysis and the Onset of Chaos in a Two-Degree-of-Freedom Mechanical System ⋮ Analysis of Geometric Invariants for Three Types of Bifurcations in 2D Differential Systems

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