Two pairs of heteroclinic orbits coined in a new sub-quadratic Lorenz-like system

This paper reports a new 3D sub-quadratic Lorenz-like system and proves the existence of two pairs of heteroclinic orbits to two pairs of nontrivial equilibria and the origin, which are completely different from the existing ones to the unstable origin and a pair of stable nontrivial equilibria in t...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2023-03, Vol.96 (3), Article 28
Main Authors: Wang, Haijun, Ke, Guiyao, Pan, Jun, Hu, Feiyu, Fan, Hongdan, Su, Qifang
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter Physics
Explosions
Fluid- and Aerodynamics
Hopf bifurcation
Numerical analysis
Orbits
Physics
Physics and Astronomy
Regular Article - Statistical and Nonlinear Physics
Simulation methods
Solid State Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper reports a new 3D sub-quadratic Lorenz-like system and proves the existence of two pairs of heteroclinic orbits to two pairs of nontrivial equilibria and the origin, which are completely different from the existing ones to the unstable origin and a pair of stable nontrivial equilibria in the published literature. This motivates one to further explore it and dig out its other hidden dynamics: Hopf bifurcation, invariant algebraic surface, ultimate boundedness, singularly degenerate heteroclinic cycle and so on. Particularly, numerical simulation illustrates that the Lorenz-like chaotic attractors coexist with one saddle in the origin and two stable nontrivial equilibria, which are created through the broken infinitely many singularly degenerate heteroclinic cycles and explosions of normally hyperbolic stable foci E z . Graphical abstract
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/s10051-023-00491-5