Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A New Four‐Scroll Chaotic Attractor Consisted of Two‐Scroll Transient Chaotic and Two‐Scroll Ultimate Chaotic
View through CrossRef
A new four‐scroll chaotic attractor is found by feedback controlling method in this paper. The novel chaotic system can generate four scrolls two of which are transient chaotic and the other two of which are ultimate chaotic. Of particular interest is that this novel chaotic system can generate one‐scroll, two 2‐scroll and four‐scroll chaotic attractor with variation of a single parameter. We analyze the new system by means of phase portraits, Lyapunov exponents, fractional dimension, bifurcation diagram, and Poincaré map, respectively. The analysis results show clearly that this is a new chaotic system which deserves further detailed investigation.
Title: A New Four‐Scroll Chaotic Attractor Consisted of Two‐Scroll Transient Chaotic and Two‐Scroll Ultimate Chaotic
Description:
A new four‐scroll chaotic attractor is found by feedback controlling method in this paper.
The novel chaotic system can generate four scrolls two of which are transient chaotic and the other two of which are ultimate chaotic.
Of particular interest is that this novel chaotic system can generate one‐scroll, two 2‐scroll and four‐scroll chaotic attractor with variation of a single parameter.
We analyze the new system by means of phase portraits, Lyapunov exponents, fractional dimension, bifurcation diagram, and Poincaré map, respectively.
The analysis results show clearly that this is a new chaotic system which deserves further detailed investigation.
Related Results
Extractraction of non-stationary harmonic from chaotic background based on synchrosqueezed wavelet transform
Extractraction of non-stationary harmonic from chaotic background based on synchrosqueezed wavelet transform
The signal detection in chaotic background has gradually become one of the research focuses in recent years. Previous research showed that the measured signals were often unavoidab...
Coexisting Three-Scroll and Four-Scroll Chaotic Attractors in a Fractional-Order System by a Three-Scroll Integer-Order Memristive Chaotic System and Chaos Control
Coexisting Three-Scroll and Four-Scroll Chaotic Attractors in a Fractional-Order System by a Three-Scroll Integer-Order Memristive Chaotic System and Chaos Control
Based on the integer-order memristive system that can generate two-scroll, three-scroll, and four-scroll chaotic attractors, in this paper, we found other phenomena that two kinds ...
Intraseasonal atmospheric variability under climate trends
Intraseasonal atmospheric variability under climate trends
Low-order climate models have played an important role in understanding the low-frequency variability of the atmospheric circulation and how it can be affected by trends in anthrop...
Fuzzy Chaotic Neural Networks
Fuzzy Chaotic Neural Networks
An understanding of the human brain’s local function has improved in recent years. But the cognition of human brain’s working process as a whole is still obscure. Both fuzzy logic ...
Identification of Synchronicity in Deterministic Chaotic Attractors for the Downscaling Process in the Bogotá River Basin
Identification of Synchronicity in Deterministic Chaotic Attractors for the Downscaling Process in the Bogotá River Basin
<p>Bogot&#225;&#8217;s River Basin, it&#8217;s an important basin in Cundinamarca, Colombia&#8217;s central region. Due to the complex...
Simplified Calculation for Thermal Deformation of Scroll Wrap Height in a Small-Parameter Scroll Compressor
Simplified Calculation for Thermal Deformation of Scroll Wrap Height in a Small-Parameter Scroll Compressor
For the scroll wrap in small-parameter scroll compressor, its temperatures under stable operating condition are analyzed and the simulations for thermal deformation of scroll wrap ...
Chaos Entanglement: Leading Unstable Linear Systems to Chaos
Chaos Entanglement: Leading Unstable Linear Systems to Chaos
Chaos entanglement is a new approach to connect linear systems to chaos. The basic principle is to entangle two or multiple linear systems by nonlinear coupling functions to form a...
Finite-dimensional attractors for the Kirchhoff models
Finite-dimensional attractors for the Kirchhoff models
The paper studies the existence of the finite-dimensional global attractor and exponential attractor for the dynamical system associated with the Kirchhoff models arising in elasto...