Pseudo and true singularly degenerate heteroclinic cycles of a new 3D cubic Lorenz-like system
Haijun Wang, Guiyao Ke, Feiyu Hu, Jun Pan, Qifang Su, Guili Dong, Guang Chen
Abstract
In contrast to the coexistence of infinitely many pseudo and true singularly degenerate heteroclinic cycles with nearby two-scroll hyperchaotic Lorenz-like attractors coined in four-dimensional systems, this note reports the ones with nearby bifurcated chaotic attractors in a new 3D cubic Lorenz-like system. Except for the rabbit head/boat shape two-scroll attractors, there exist globally exponentially asymptotically stable parabolic type equilibria and a pair of heteroclinic orbits. In addition, numerical simulations also validate the correctness of the theoretical analysis.
Topics & Concepts
Heteroclinic cycleAttractorDegenerate energy levelsHeteroclinic bifurcationLorenz systemChaoticHeteroclinic orbitMathematicsMathematical analysisCorrectnessPhysicsComputer scienceNonlinear systemBifurcationPeriod-doubling bifurcationQuantum mechanicsHomoclinic orbitAlgorithmArtificial intelligenceChaos control and synchronizationNonlinear Dynamics and Pattern FormationQuantum chaos and dynamical systems