A Hidden Chaotic Attractor with an Independent Amplitude-Frequency Controller

Amplitude-phase control of a novel chaotic attractor

Chunbiao LI1,2,3,∗, İhsan PEHLİVAN, Julien Clinton SPROTT School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing, P.R. China Department of Physics, University of Wisconsin-Madison, Madison, WI, USA Engineering Technology Research and Development Center of Jiangsu Circulation Modernization Sensor Network, Jiangsu Institute of Commerce, Nan...

About a class of nonlinear oscillators with amplitude-independent frequency

This work is concerned with nonlinear oscillators that have a fixed, amplitude-independent frequency. This characteristic, known as isochronicity/isochrony, is achieved by establishing the equivalence between the Lagrangian of the simple harmonic oscillator and the Lagrangian of conservative oscillators with a position-dependent coefficient of the kinetic energy, which can stem from their mass ...

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...

Inherent Frequency and Spatial Decomposition of the Lorenz Chaotic Attractor

X iv :n lin /0 40 60 31 v2 [ nl in .C D ] 1 7 Ju n 20 04 Inherent Frequency and Spatial Decomposition of the Lorenz Chaotic Attractor Gonzalo Álvarez, † Shujun Li, ‡ Jinhu Lü, and Guanrong Chen Instituto de F́ısica Aplicada, Consejo Superior de Investigaciones Cient́ıficas, Serrano 144—28006 Madrid, Spain Department of Electronic Engineering, City University of Hong Kong, Kowloon Toon, Hong Kong,...