Results 1 to 10 of about 30,046 (283)

Chaotic attractors that exist only in fractional-order case [PDF]

Journal of Advanced Research, 2023
Introduction: Studying chaotic dynamics in fractional- and integer-order dynamical systems has let researchers understand and predict the mechanisms of related non-linear phenomena.
A.E. Matouk
doaj   +2 more sources

Escaping from nonhyperbolic chaotic attractors [PDF]

Physical Review Letters, 2004
We study the noise-induced escape process from chaotic attractors in nonhyperbolic systems. We provide a general mechanism of escape in the low noise limit, employing the theory of large fluctuations.
Celso Grebogi, D. T. Gillespie, H. A. Kramers, L. Jaeger, M. Hénon, M. I. Freidlin, S. Kraut, S. M. Hammel, Suso Kraut   +8 more
core   +4 more sources

Divergence Measure Between Chaotic Attractors [PDF]

Physical Review E, 2000
We propose a measure of divergence of probability distributions for quantifying the dissimilarity of two chaotic attractors. This measure is defined in terms of a generalized entropy.
A. Rényi, A.M. Albano, C. Diks, C. E. Shannon, C. Tsallis, H. D. I. Abarbanel, H. Kantz, H. Kantz, I. Csiszár, J. Theiler, L. Diambra, M. E. Havrda, P. Grassberger, P. Grassberger, R. Manuca, S. Kullback, T. Schreiber, T. Schreiber   +17 more
core   +4 more sources

Variations of Boundary Surface in Chua’s Circuit [PDF]

Radioengineering, 2015
The paper compares the boundary surfaces with help of cross-sections in three projection planes, for the four changes of Chua’s circuit parameters. It is known that due to changing the parameters, the Chua’s circuit can be characterized in addition to a ...
M. Guzan
doaj   +4 more sources

Chaotic Dynamics by Some Quadratic Jerk Systems

Axioms, 2021
This paper is about the dynamical evolution of a family of chaotic jerk systems, which have different attractors for varying values of parameter a. By using Hopf bifurcation analysis, bifurcation diagrams, Lyapunov exponents, and cross sections, both ...
Mei Liu, Bo Sang, Ning Wang, Irfan Ahmad
doaj   +1 more source

Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems

Discrete Dynamics in Nature and Society, 2022
Self-excited and hidden chaotic attractors are interesting complex dynamical phenomena. Here, Matouk’s hyperchaotic systems are shown to have self-excited and hidden chaotic attractors, respectively.
A. Othman Almatroud, A. E. Matouk, Wael W. Mohammed, Naveed Iqbal, Saleh Alshammari   +4 more
doaj   +1 more source

A high-precision numerical method to simulating the fractional-order EI Nio chaotic systems with Riemann–Liouville fractional derivative

Journal of Low Frequency Noise, Vibration and Active Control, 2023
Chaotic systems arise everywhere in control theory and nonlinear vibration. This paper uses a high-precision numerical approach for capturing chaotic attractors of the fractional EI Ni ñ o chaotic systems.
Ke-Qiang Zhang, Xue-Jun Cao, Yu-Lan Wang
doaj   +1 more source

Coexistence of Thread and Sheet Chaotic Attractors for Three-Dimensional Lozi Map

Dynamics, 2023
Since its original publication in 1978, Lozi’s chaotic map has been thoroughly explored and continues to be. Hundreds of publications have analyzed its particular structure or applied its properties in many fields (electronic devices such as memristors ...
René Lozi
doaj   +1 more source

Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors

Journal of Mathematics, 2021
To enrich the types of multiwing chaotic attractors in fractional-order chaotic systems (FOCSs), a new type of 3-dimensional FOCSs is designed in this study.
Chenhui Wang
doaj   +1 more source

Universality and scaling in chaotic attractor-to-chaotic attractor transitions [PDF]

Chaos, Solitons & Fractals, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stynes, D., Heffernan, Daniel
openaire   +3 more sources