Polynomial law for controlling the generation of n-scroll chaotic attractors in an optoelectronic delayed oscillator

DOI10.1063/1.4892947zbMath1374.34114arXiv1408.3168OpenAlexW2070958254WikidataQ85660861 ScholiaQ85660861MaRDI QIDQ4591607

Bicky A. Márquez, José J. Suárez-Vargas, Javier Ramírez

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3168

Mathematics Subject Classification ID

Feedback control (93B52) Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Unnamed Item
• A simple chaotic delay differential equation
• Simplest dissipative chaotic flow.
• An equation for continuous chaos
• Practical implementation of nonlinear time series methods: The <scp>TISEAN</scp> package
• A chaotic attractor from Chua's circuit
• n -scroll chaotic attractors from a first-order time-delay differential equation
• Design and implementation of n-scroll chaotic attractors from a general jerk circuit
• Deterministic Nonperiodic Flow
• Oscillation and Chaos in Physiological Control Systems
• Generalizations of the Chua equations
• Synchronization in chaotic systems