Jacobi stability, Hamilton energy and the route to hidden attractors in the 3D jerk systems with unique Lyapunov stable equilibrium
type: Item
instance of: scholarly article
title: Jacobi stability, Hamilton energy and the route to hidden attractors in the 3D jerk systems with unique Lyapunov stable equilibrium
author: Xiaoting Lu
author: Qi-Gui Yang
published in: Physica D
publication date: 2024-12-06T00:00:00Z
Mathematics Subject Classification ID: 93Cxx
Mathematics Subject Classification ID: 37Dxx
zbMATH DE Number: 7955379
zbMATH Keywords: jerk systems
zbMATH Keywords: hidden attractors
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: Jacobi stability
zbMATH Keywords: Hamilton energy
MaRDI profile type: Publication
cites work: Deterministic Nonperiodic Flow
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: Shil'nikov's theorem-a tutorial
cites work: A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
cites work: AN UNUSUAL 3D AUTONOMOUS QUADRATIC CHAOTIC SYSTEM WITH TWO STABLE NODE-FOCI
cites work: Dynamical analysis of a new autonomous 3-D chaotic system only with stable equilibria
cites work: SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
cites work: Hidden attractor in smooth Chua systems
cites work: Parallelism and path-spaces
cites work: Observations sur le memoire precedent
cites work: Q5776805
cites work: Q3128806
cites work: Q3160289
cites work: Some remarks on Jacobi stability
cites work: The theory of sprays and Finsler spaces with applications in physics and biology
cites work: Systems biology and deviation curvature tensor
cites work: New insights into a chaotic system with only a Lyapunov stable equilibrium
cites work: Calculation of Hamilton energy and control of dynamical systems with different types of attractors
cites work: What is the most suitable Lyapunov function?
cites work: Dynamical behaviors of a chaotic system with no equilibria
cites work: Dynamics at Infinity, Degenerate Hopf and Zero-Hopf Bifurcation for Kingni–Jafari System with Hidden Attractors
cites work: Jacobi Stability for Geometric Dynamics
cites work: Q3654864
cites work: Liapunov Stability Versus Jacobi Stability
cites work: Jacobi Stability of Circular Orbits in a Central Force
cites work: Q5746614
cites work: Jacobi analysis of a segmented disc dynamo system
cites work: Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system
cites work: Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system
cites work: The Jacobi Stability of a Lorenz-Type Multistable Hyperchaotic System with a Curve of Equilibria
cites work: Energy consumption and information transmission in model neurons
cites work: MATCONT
cites work: Elements of applied bifurcation theory
cites work: Bifurcation analysis of a new Lorenz-like chaotic system
cites work: New methods in celestial mechanics. Vol. II. Methods of Newcomb, Gyldén, Lindstedt and Bohlin.
cites work: Ion channels and the diversity of spontaneous firing in anterior pituitary corticotrophs: a dynamical analysis
cites work: Q3220922
DOI: 10.1016/J.PHYSD.2024.134423
description: scientific article; zbMATH DE number 7955379