Competitive modes as reliable predictors of chaos versus hyperchaos and as geometric mappings accurately delimiting attractors

CLASSIFICATION OF CHAOTIC REGIMES IN THE T SYSTEM BY USE OF COMPETITIVE MODES

(2011) ROBERT A. VAN GORDER et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Shil’nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System

(2010) Robert A. Van Gorder et al.   Journal of Computational and Nonlinear Dynamics

Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis

(2010) Robert A. Van Gorder   NONLINEAR DYNAMICS

Stability and chaos of a damped satellite partially filled with liquid

(2009) Liangqiang Zhou et al.   ACTA ASTRONAUTICA

Existence of a new three-dimensional chaotic attractor

(2009) Jiezhi Wang et al.   CHAOS SOLITONS & FRACTALS

Si’lnikov chaos and Hopf bifurcation analysis of Rucklidge system

(2009) Xia Wang   CHAOS SOLITONS & FRACTALS

Symmetric periodic orbits near a heteroclinic loop in formed by two singular points, a semistable periodic orbit and their invariant manifolds

(2009) Montserrat Corbera et al.   PHYSICA D-NONLINEAR PHENOMENA

A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits

(2008) Bernd Krauskopf et al.   NONLINEARITY

A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system

(2007) Zengqiang Chen et al.   CHAOS SOLITONS & FRACTALS

Analysis of the hyper-chaos generated from Chen’s system

(2007) Tiegang Gao et al.   CHAOS SOLITONS & FRACTALS