Revealing more hidden attractors from a new sub-quadratic Lorenz-like system of degree \(\frac{6}{5}\)

DOI10.1142/s0218127424500718zbMATH Open1546.37056MaRDI QIDQ6608815

Haijun Wang, Jun Pan, Guiyao Ke

Publication date: 20 September 2024

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

zbMATH Keywords

Lyapunov functionheteroclinic orbitHilbert's 16th problemhidden attractorLorenz-like system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Title not available (Why is that?)
• Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system
• Dynamics of a new Lorenz-like chaotic system
• Mathematical problems. Lecture delivered before the international congress of mathematicians at Paris in 1900. Translated by \textit{Mary Winston Newson}.
• Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I
• A true three-scroll chaotic attractor coined
• On first integrals of a family of generalized Lorenz-like systems
• A new Lorenz-type hyperchaotic system with a curve of equilibria
• On the global dynamics of the Rabinovich system
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• Constructing an autonomous system with infinitely many chaotic attractors
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Complex Dynamics of a Four-Dimensional Circuit System
• Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo
• Transient Dynamics of the Lorenz System with a Parameter Drift
• A THREE-DIMENSIONAL NONLINEAR SYSTEM WITH A SINGLE HETEROCLINIC TRAJECTORY
• Elements of applied bifurcation theory
• The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension
• Singularly degenerate heteroclinic cycles with nearby apple-shape attractors

This page was built for publication: Revealing more hidden attractors from a new sub-quadratic Lorenz-like system of degree \(\frac{6}{5}\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6608815)