On singular orbits and a given conjecture for a 3D Lorenz-like system

DOI10.1007/s11071-015-1921-8zbMath1345.34079OpenAlexW1969066919WikidataQ122861381 ScholiaQ122861381MaRDI QIDQ748066

Xianyi Li, Hai-Jun Wang

Publication date: 19 October 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-1921-8

zbMATH Keywords

Lyapunov functionboundednesssingularly degenerate heteroclinic cycle3D Lorenz-like systemhomoclinic and heteroclinic orbit

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (12)

A true three-scroll chaotic attractor coined ⋮ Bifurcations, ultimate boundedness and singular orbits in a unified hyperchaotic Lorenz-type system ⋮ Infinitely Many Heteroclinic Orbits of a Complex Lorenz System ⋮ Hidden attractors, singularly degenerate heteroclinic orbits, multistability and physical realization of a new 6D hyperchaotic system ⋮ HOPF BIFURCATION AND NEW SINGULAR ORBITS COINED IN A LORENZ-LIKE SYSTEM ⋮ COMPLEX DYNAMICS OF A SIMPLE 3D AUTONOMOUS CHAOTIC SYSTEM WITH FOUR-WING ⋮ A novel hyperchaotic system with infinitely many heteroclinic orbits coined ⋮ Heteroclinic Trajectory and Hopf Bifurcation in an Extended Lorenz System ⋮ Some new insights into a known Chen-like system ⋮ On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System ⋮ A THREE-DIMENSIONAL NONLINEAR SYSTEM WITH A SINGLE HETEROCLINIC TRAJECTORY ⋮ Complex Dynamics of a Four-Dimensional Circuit System

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