New chaotic attractors: Application of fractal‐fractional differentiation and integration
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6432
Abstract: Very recently, the concept of fractal differentiation and fractional differentiation has been combined to produce new differentiation operators. The new operators were constructed using three different kernels, namely, power law, exponential decay, and the generalized… read more here.
Keywords: differentiation; new operators; fractal fractional; fractal dimension ... See more keywords
Comments on “Coexistence of hidden chaotic attractors in a novel no-equilibrium system” (Nonlinear Dyn, doi:10.1007/s11071-016-3170-x)
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3671-2
Abstract: In this comment, an enhancement of issue published in the paper “Coexistence of hidden chaotic attractors in a novel no-equilibrium system” (Nonlinear Dyn, doi:10.1007/s11071-016-3170-x) is addressed. We have shown that the proposed novel autonomous chaotic… read more here.
Keywords: coexistence hidden; system; equilibrium system; chaotic attractors ... See more keywords
Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization
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DOI: 10.1007/s11071-018-4531-4
Abstract: Memristor chaotic system has been attracted by many researchers because of the rich dynamical behaviors. However, some existed memristor chaotic systems have finite numbers of chaotic attractors. In this paper, a simple, effective method is… read more here.
Keywords: autonomous memristor; systems infinite; chaotic attractors; chaotic systems ... See more keywords
Multiscroll chaotic attractors in Optical Injected Semiconductor Laser Driven by a Resonant Tunneling Diode Current
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DOI: 10.1016/j.ijleo.2020.164740
Abstract: Abstract This paper shows a complex nonlinear dynamics of an optically injected laser diode (LD) directly modulated by electrical current from a resonant tunneling diode (RTD) circuit. The LD model evolves a new control parameter… read more here.
Keywords: laser; chaotic attractors; tunneling diode; resonant tunneling ... See more keywords
On the control of the chaotic attractors of the 2-d Navier-Stokes equations.
Sign Up to like & getrecommendations! Published in 2017 at "Chaos"
DOI: 10.1063/1.4978682
Abstract: The control problem of the chaotic attractors of the two dimensional (2-d) Navier-Stokes (N-S) equations is addressed in this paper. First, the Fourier Galerkin method based on a reduced-order modelling approach developed by Chen and… read more here.
Keywords: order; system; control; stokes equations ... See more keywords
Multi-piecewise quadratic nonlinearity memristor and its 2N-scroll and 2N + 1-scroll chaotic attractors system.
Sign Up to like & getrecommendations! Published in 2017 at "Chaos"
DOI: 10.1063/1.4979039
Abstract: In this paper, two kinds of novel ideal active flux-controlled smooth multi-piecewise quadratic nonlinearity memristors with multi-piecewise continuous memductance function are presented. The pinched hysteresis loop characteristics of the two memristor models are verified by… read more here.
Keywords: multi; multi piecewise; scroll chaotic; scroll ... See more keywords
Diffeomorphical equivalence vs topological equivalence among Sprott systems.
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DOI: 10.1063/5.0058330
Abstract: In 1994, Sprott [Phys. Rev. E 50, 647-650 (1994)] proposed a set of 19 different simple dynamical systems producing chaotic attractors. Among them, 14 systems have a single nonlinear term. To the best of our… read more here.
Keywords: equivalence topological; topological equivalence; equivalence; diffeomorphical equivalence ... See more keywords
Impulsive systems with growing numbers of chaotic attractors.
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DOI: 10.1063/5.0102521
Abstract: Most classical chaotic systems, such as the Lorenz system and the Chua circuit, have chaotic attractors in bounded regions. This article constructs and analyzes a different kind of non-smooth impulsive systems, which have growing numbers… read more here.
Keywords: impulsive systems; chaotic attractors; numbers chaotic; growing numbers ... See more keywords
A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.2966085
Abstract: A chaotic system with a hyperbolic function flux-controlled memristor is designed, which exhibits conditional symmetry and attractor growing. The newly introduced cosine function keeps the polarity balance when some of the variables get polarity inversed… read more here.
Keywords: system; infinitely many; memristive system; system infinitely ... See more keywords