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A CMOS implementation of the sine-circle map

48th Midwest Symposium on Circuits and Systems, 2005., 2005
A fully integrated CMOS implementation of an integrated-circuit relaxation oscillator neuron, IRON, is proposed. The circuit was designed using a 0.35 /spl mu/m technology. Simulation results show that the circuit is capable of generating bifurcation diagrams of the sine-circle map, while drawing only 4.8 /spl mu/A at 3.3 V power supply, with a 8.23 ...
A. Farfan-Pelaez   +3 more
openaire   +1 more source

Statistical dynamics of sine-square map

Physica A: Statistical Mechanics and its Applications, 1997
Abstract In this paper we study (i) the variation of local Lyapunov exponent, (ii) characterization of chaotic attractor at bifurcations using the variance σn(q) of fluctuations of coarse-grained local expansion rates of nearby orbits and (iii) characterization of weak and strong chaos in a sine-square map which describes the dynamics of the liquid ...
P. Philominathan   +2 more
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Spiral waves in a coupled network of sine-circle maps

Physical Review E, 2003
A coupled two-dimensional lattice of sine-circle maps is investigated numerically as a simple model for coupled network of nonlinear oscillators under a spatially uniform, temporally periodic, external forcing. Various patterns, including quasiperiodic spiral waves, periodic, banded spiral waves in several different polygonal shapes, and domain ...
Sung-Jae, Woo, Jysoo, Lee, Kyoung J, Lee
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2D Logistic-Sine-coupling map for image encryption

Signal Processing, 2018
Abstract Image encryption is a straightforward strategy to protect digital images by transforming images into unrecognized ones. The chaos theory is a widely used technology for image encryption as it has many significant properties such as ergodicity and initial state sensitivity.
Zhongyun Hua   +3 more
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Cross-Over for the Sine Map and the Driven Damped Pendulum

Physica Scripta, 1986
Summary: The sine map \(f_ \varepsilon (x)=x+\mu-(1-\varepsilon)\sin (2\pi x)/2\pi\) is by iteration known to exhibit a devil's staircase, which becomes complete as \(\varepsilon\) tends to zero. Here the basic work of Shenker, concerning the scaling relations at the golden mean, is generalized.
Alstrøm, P.   +2 more
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Dynamics, multistability, and crisis analysis of a sine-circle nontwist map

Physical Review E, 2022
We propose a one-dimensional dynamical system, the sine-circle nontwist map, that can be considered a local approximation of the standard nontwist map and an extension of the paradigmatic sine-circle map. The map depends on three parameters, exhibiting a simple mathematical form but with a rich dynamical behavior.
Michele Mugnaine   +3 more
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Mapping of SINEs in the genome of Proechimys (Mammalia: Rodentia)

Gene
This study aimed to analyze the distribution of short interspersed elements (SINEs) in the chromosomes of five species of rodents of the genus Proechimys and in a variant karyotype of P. guyannensis. Molecular cytogenetic techniques were used to characterize the sequences of the B1, B4, MAR and THER SINEs, which were used as probes for hybridization in
Simone, Cardoso Soares   +7 more
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Synchronization plateaus in a lattice of coupled sine-circle maps

Physical Review E, 2000
Frequency synchronization is a common phenomenon in spatially extended dynamical systems, like oscillator chains and coupled map lattices. We study the distribution of synchronization plateaus in a sine-circle map lattice with a variable range coupling and randomly distributed natural frequencies.
S E, Pinto, R L, Viana
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An Encryption Algorithm of Chaos Based on Sine Square Mapping

2011 Fourth International Symposium on Computational Intelligence and Design, 2011
The paper applies chaotic encryption to information document, and designed a simple and fast encryption algorithm based on Sine Square Mapping. This kind of mapping can be chaotic in a wide parameter range and the sequences generated possess larger Lyapunov exponent and excellent dynamical properties.
Yongyi Mao, Xiang Chen
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Winding numbers for the supercritical sine circle map

Physica D: Nonlinear Phenomena, 1988
The dependence of the winding number on the initial value and on the nonlinearity for the supercritical sine circle map is discussed. Analytical investigations and numerical results show that some scaling behavior for the winding number can be extracted.
Ding, E. J., Hemmer, P. C.
openaire   +1 more source

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