Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Jianghong Bao"'
Autor:
Jianghong Bao, Yongjian Liu
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-15 (2019)
Abstract Multistability, i.e., coexisting attractors, is one of the most exciting phenomena in dynamical systems. This paper presents a new category of coexisting hidden attractor: five-dimensional (5D) systems with a curve of equilibria. Based on th
Externí odkaz:
https://doaj.org/article/c87d8cc7e07c47d282bc8476594fdc93
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 24:6053-6069
Little seems to be known about coexisting hidden attractors in hyperchaotic systems with three types of equilibria. Based on the segmented disc dynamo, this paper proposes a new 5D hyperchaotic system which possesses the properties. This new system c
Publikováno v:
Chaos, Solitons & Fractals. 147:110966
The present work is devoted to giving new insights into the extended Malkus-Robbins (EMR) dynamo. Firstly, based on differential geometry method, i.e. Kosambi-Cartan-Chern (KCC) theory, the paper investigates the Jacobi stability of the equilibrium a
Autor:
Jianghong Bao
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B. 21:3301-3314
The present work is devoted to giving new insights into the segmented disc dynamo. The integrability of the system is studied. The paper provides its first integrals for the parameter $r=0$. For $r>0$, the system has neither polynomial first integral
Autor:
Jianghong Bao, Qigui Yang
Publikováno v:
Applied Mathematics and Computation. 229:16-26
Based on the stretch-twist-fold flow, a generalized stretch-twist-fold flow is introduced. By choosing an appropriate bifurcation parameter, Hopf bifurcations occur in this system when the bifurcation parameter exceeds a critical value. The formulae
Autor:
Jianghong Bao, Qigui Yang
Publikováno v:
Nonlinear Dynamics. 76:797-807
The stretch-twist-fold (STF) flow, as a special case of Stokes flows, arises naturally in dynamo theory. The paper studies the integrability of the STF flow. The paper provides a complete classification of the irreducible Darboux polynomials for the
Autor:
Qigui Yang, Jianghong Bao
Publikováno v:
Nonlinear Dynamics. 70:1365-1375
The paper first studies the period of the discrete Arnold cat map. When the modulo is composite, the formulae are developed to calculate the minimal period. When the modulo is prime, the formulae calculating the period are given and an algorithm is p
Autor:
Jianghong Bao, Qigui Yang
Publikováno v:
Applied Mathematics and Computation. 217:6526-6540
A new series method is provided for continuous-time autonomous dynamical systems, which can find exact orbits as opposed to approximate ones. The method can reduce the connecting orbit problem as a boundary value problem in an infinite time domain to
Autor:
Jianghong Bao, Qigui Yang
Publikováno v:
Nonlinear Dynamics. 61:773-781
The system associated with fluid particle motions of the stretch-twist-fold (STF) flow has displayed rich and attractive dynamic properties. Detailed research on the system has been done in this work. By using a high-dimensional generalization of the
Autor:
Dandan Chen, Jianghong Bao
Publikováno v:
Chinese Physics B. 26:080201