Impact of Non-Linear Electronic Circuits and Switch of Chaotic Dynamics
Periodicals of Engineering and Natural Sciences (PEN), 2020 Switch-mode power supply is an extremely non-linear system that can inevitably exhibit unpredictable behavior. These control laws may be insufficient for nonlinear systems because they are not robust when the requirements on the dynamic characteristics ...
M. Thivagar +3 more
semanticscholar +1 more source
Prototyping the Symmetry-Based Chaotic Communication System Using Microcontroller Unit
Applied Sciences, 2023 Chaos-based communications are a promising application of chaos theory and nonlinear dynamics. Their key features include concealed transmission, high security, and native broadband signals.
V. Rybin +7 more
semanticscholar +1 more source
Different linear control laws for fractional chaotic maps using Lyapunov functional
Archives of Control Sciences, 2023 Dynamics and control of discrete chaotic systems of fractional-order have received considerable attention over the last few years. So far, nonlinear control laws have been mainly used for stabilizing at zero the chaotic dynamics of fractional maps.
A. Othman +4 more
semanticscholar +1 more source
Geometric and dynamic perspectives on phase-coherent and noncoherent chaos [PDF]
, 2012 Statistically distinguishing between phase-coherent and noncoherent chaotic dynamics from time series is a contemporary problem in nonlinear sciences.
Conover W. J. +14 more
core +2 more sources
Optical chaos in nonlinear photonic crystals [PDF]
, 2002 We examine a spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity when simultaneously a second harmonic and a sum-frequency generation are quasi-phase-matched. We find the conditions of a transition to Hamiltonian
Alekseev, Kirill N. +1 more
core +2 more sources
A Novel Method for Constructing the S-Box Based on Spatiotemporal Chaotic Dynamics
Applied Sciences, 2018 A novel construction method for a random S-box by using the spatiotemporal nonlinear chaotic system is proposed. The chaotic sequences of the spatiotemporal chaotic system are applied to construct an initial S-box. Then, the permutation operation between
Liyan Liu +2 more
semanticscholar +1 more source
Fractal Measures and Nonlinear Dynamics of Overcontact Binaries [PDF]
, 2019 Overcontact binary stars are systems of two stars where the component stars are in contact with each other. This implies that they share a common envelope of gas.
Ambika, G., George, Sandip V., Misra, R.
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Linear And Nonlinear Arabesques: A Study Of Closed Chains Of Negative 2-Element Circuits [PDF]
, 2013 In this paper we consider a family of dynamical systems that we call "arabesques", defined as closed chains of 2-element negative circuits. An $n$-dimensional arabesque system has $n$ 2-element circuits, but in addition, it displays by construction, two $
Antonopoulos, Chris +4 more
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Chaotic Dynamics of n-Degree of Freedom Hamiltonian Systems [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2005 We investigate the connection between local and global dynamics of two N-degree of freedom Hamiltonian systems with different origins describing one-dimensional nonlinear lattices: The Fermi–Pasta–Ulam (FPU) model and a discretized version of the ...
C. Antonopoulos, T. Bountis, C. Skokos
semanticscholar +1 more source
Testing For Nonlinearity Using Redundancies: Quantitative and Qualitative Aspects
, 1994 A method for testing nonlinearity in time series is described based on information-theoretic functionals -- redundancies, linear and nonlinear forms of which allow either qualitative, or, after incorporating the surrogate data technique, quantitative ...
Anderson +52 more
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