Creation of single-wing Lorenz-like attractors <i>via</i> a ten-ninths-degree term
Jun Pan, Haijun Wang, Guiyao Ke, Feiyu Hu
Abstract
Abstract In light of the subtle connection between the strange attractors and the degree of dynamical systems, in this study, we propose a new simple asymmetric Lorenz-like system and report the finding of single-wing Lorenz-like attractors, which can also be created by the collapse of asymmetric singularly degenerate heteroclinic cycles. Moreover, we prove the existence of a single heteroclinic orbit to the origin and the nontrivial equilibrium point. Besides, numerical simulations also verify the theoretical analysis.
Topics & Concepts
Degree (music)Term (time)AttractorMathematicsWingMathematical economicsPhysicsMathematical analysisThermodynamicsAcousticsQuantum mechanicsChaos control and synchronizationModel Reduction and Neural NetworksNonlinear Dynamics and Pattern Formation