Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components
type: Item
instance of: scholarly article
title: Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components
zbMATH Open document ID: 1390.37060
author: Karthikeyan Rajagopal
author: Anitha Karthikeyan
author: Ashokkumar Srinivasan
published in: Nonlinear Dynamics
publication date: 2018-06-29T00:00:00Z
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 6897716
zbMATH Keywords: memfractor
zbMATH Keywords: hidden attractor bifurcation
zbMATH Keywords: bicoherence
zbMATH Keywords: FPGA
MaRDI profile type: Publication
full work available at URL: s11071-017-3960-9
OpenAlex ID: W2775040997
cites work: A gallery of chaotic oscillators based on hp memristor
cites work: THE FOUR-ELEMENT CHUA'S CIRCUIT
cites work: Memristor Emulator for Memristor Circuit Applications
cites work: A chaotic circuit based on Hewlett-Packard memristor
cites work: A chaotic oscillator based on HP memristor model
cites work: IMPLEMENTING MEMRISTOR BASED CHAOTIC CIRCUITS
cites work: A novel memcapacitor model and its application for generating chaos
cites work: Fractional order memristor no equilibrium chaotic system with its adaptive sliding mode synchronization and genetically optimized fractional order PID synchronization
cites work: Q3006513
cites work: Basic Theory of Fractional Differential Equations
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Suppressing chaos in a simplest autonomous memristor-based circuit of fractional order by periodic impulses
cites work: Bispectral analysis of possessing chaotic motion
cites work: Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems
cites work: FPGA realization of a chaotic communication system applied to image processing
cites work: FPGA realization of multi-scroll chaotic oscillators
cites work: Higher-Order Spectral Analysis to Detect Power-Frequency Mechanisms in a Driven Chua's Circuit
cites work: Higher-order spectrum in understanding nonlinearity in EEG rhythms
cites work: Hyperchaotic chameleon: fractional order FPGA implementation
cites work: Fractal system as represented by singularity function
cites work: A review of the decomposition method and some recent results for nonlinear equations
cites work: Linear approximation of transfer function with a pole of fractional power
cites work: An application of Adomian decomposition for analysis of fractional-order chaotic systems
cites work: Coexisting oscillation and extreme multistability for a memcapacitor-based circuit
cites work: On the bound of the Lyapunov exponents for the fractional differential systems
cites work: Determining Lyapunov exponents from a time series
cites work: Evaluating Lyapunov exponent spectra with neural networks
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Studies on fractional order differentiators and integrators: a survey
cites work: Q5014989
cites work: Memfractance: A Mathematical Paradigm for Circuit Elements with Memory
cites work: Amplitude modulation and synchronization of fractional-order memristor-based Chua's circuit
cites work: Q3141902
cites work: Lyapunov exponents of a class of piecewise continuous systems of fractional order
cites work: Co-existing hidden attractors in a radio-physical oscillator system
cites work: Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
cites work: Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits
cites work: Localization of hidden Chua's attractors
cites work: Hidden attractor in smooth Chua systems
cites work: Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
cites work: How to Bridge Attractors and Repellors
cites work: Elementary quadratic chaotic flows with no equilibria
cites work: A novel three-dimensional autonomous chaotic system generating two, three and four-scroll attractors
cites work: Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form
cites work: Controlling Dynamics of Hidden Attractors
cites work: Infinite Multistability in a Self-Reproducing Chaotic System
cites work: A new chaotic oscillator with free control
DOI: 10.1007/S11071-017-3960-9
description: scientific article; zbMATH DE number 6897716