Construction of classes of circuit-independent chaotic oscillatorsusing passive-only nonlinear devices [PDF]
, 2001 Two generic classes of chaotic oscillators comprising four different configurations are constructed. The proposed structures are based on the simplest possible abstract models of generic second-order RC sinusoidal oscillators that satisfy the basic ...
Ahmed S. Elwakil, Michael Peter Kennedy
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Euler-Lagrange Equations of Networks with Higher-Order Elements [PDF]
Radioengineering, 2017 The paper suggests a generalization of the classic Euler-Lagrange equation for circuits compounded of arbitrary elements from Chua’s periodic table.
Z. Biolek, D. Biolek
doaj
Integrated chaos generators [PDF]
, 2002 This paper surveys the different design issues, from mathematical model to silicon, involved on the design of integrated circuits for the generation of chaotic behavior.Comisión Interministerial de Ciencia y Tecnología 1FD97-1611(TIC)European Commission ...
Delgado Restituto, Manuel +1 more
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Bifurcations and synchronization using an integrated programmable chaotic circuit [PDF]
, 1997 This paper presents a CMOS chip which can act as an autonomous stand-alone unit to generate different real-time chaotic behaviors by changing a few external bias currents. In particular, by changing one of these bias currents, the chip provides different
Ceballos Cáceres, Joaquín Francisco +3 more
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An alternative solution to the model structure selection problem [PDF]
, 2001 An alternative solution to the model structure selection problem is introduced by conducting a forward search through the many possible candidate model terms initially and then performing an exhaustive all subset model selection on the resulting model ...
Billings, S.A., Mendes, E.M.A.M.
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Refined Analytical Approximations to Limit Cycles for Non-Linear Multi-Degree-of-Freedom Systems [PDF]
, 2019 This paper presents analytical higher order approximations to limit cycles of an autonomous multi-degree-of-freedom system based on an integro-differential equation method for obtaining periodic solutions to nonlinear differential equations.
Lewis, Andrew
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Interactive sonification exploring emergent behavior applying models for biological information and listening [PDF]
, 2018 Sonification is an open-ended design task to construct sound informing a listener of data. Understanding application context is critical for shaping design requirements for data translation into sound.
Alain +84 more
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Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region
, 2006 A method of controlling Shil'nikov's type chaos using windows that appear in the 1 dimensional bifurcation diagram when perturbations are applied, and using existence of stable homoclinic orbits near the unstable one is presented and applied to the ...
Furui, Sadataka, Niiya, Shohei
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Dynamical estimates of chaotic systems from Poincar\'e recurrences
, 2009 We show that the probability distribution function that best fits the distribution of return times between two consecutive visits of a chaotic trajectory to finite size regions in phase space deviates from the exponential statistics by a small power-law ...
Alligood K. T. +7 more
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A comparative evaluation of nonlinear dynamics methods for time series prediction [PDF]
, 2009 A key problem in time series prediction using autoregressive models is to fix the model order, namely the number of past samples required to model the time series adequately. The estimation of the model order using cross-validation may be a long process.
Camastra, F., Filippone, M.
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