A new four-dimensional chaotic attractor

A New Chaotic Attractor Coined

A three-scroll chaotic attractor

This Letter introduces a new chaotic member to the three-dimensional smooth autonomous quadratic system family, which derived from the classical Lorenz system but exhibits a three-scroll chaotic attractor. Interestingly, the two other scrolls are symmetry related with respect to the z-axis as for the Lorenz attractor, but the third scroll of this three-scroll chaotic attractor is around the z-a...

Analysis of a New Quadratic 3D Chaotic Attractor

and Applied Analysis 3 0 10 0 10 0 5 −10 −10 x y z (a) 0 5 10 0 5 −10 −5 −5 x y

A four-dimensional scheme based on singular value decomposition (4DSVD) for chaotic-attractor-theory-oriented data assimilation

[1] The chaotic-attractor-theory-oriented data assimilation (CDA) method is reviewed. A scheme based on the singular value decomposition (SVD) analysis, called the 4DSVD, is then updated to a real four-dimensional scheme for the CDA. This algorithm employs the SVD to extract the base vectors that span the phase spaces of both model and observation chaotic attractors. Four groups of experiments ...

Fluctuational escape from a chaotic attractor

Noise-induced escape from a non-hyperbolic attractor, and from a quasihyperbolic attractor with nonfractal boundaries, is investigated by means of analogue experiments and numerical simulations. It is found that there exists a most probable (optimal) escape trajectory, the prehistory of the escape being de ned by the structure of the chaotic attractor. The corresponding optimal uctuational forc...