Absolute term introduced to rebuild the chaotic attractor with constant Lyapunov exponent spectrum
- 205 Downloads
When positive or negative feedback of absolute terms are introduced in dynamic equations of improved chaotic system with constant Lyapunov exponent spectrum, diverse structures of chaotic attractors can be rebuilt, numbers of novel attractors found and subsequently the dynamical behavior property analyzed. Drawing on the concept of global phase reversal and its implementation methods, three main features are discussed and a systematic conclusion is made, that is, the unique class of chaotic system which utilizes merely absolute terms to realize nonlinear function possesses the following three properties: adjustable amplitude, adjustable phase reversal and constant Lyapunov exponent spectrum.
KeywordsAbsolute term Constant Lyapunov exponent spectrum Chaotic attractor
Unable to display preview. Download preview PDF.
- 6.Li, C.B., Wang, D.C.: An attractor with invariable Lyapunov exponent spectrum and its Jerk circuit implementation. Acta Phys. Sin. 58, 570–764 (2009) Google Scholar
- 15.Li, C.B., Wang, H.K.: An extension system with constant Lyapunov exponent spectrum and its evolvement study. Acta Phys. Sin. 58, 7514–7524 (2009) Google Scholar