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Published in 2019 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.09.028
Abstract: Abstract The trend of applying mathematical foundations of fractional calculus to solve problems arising in nonlinear sciences, is an emerging area of research with growing interest especially in communication, signal analysis and control. In the…
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Keywords:
nonlinear control;
methods nonlinear;
adaptive methods;
fractional adaptive ... See more keywords
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Published in 2020 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.123492
Abstract: Abstract Distinguishing linear series from nonlinear ones is of great importance, for not only understanding the processes generating these series but also their modeling and prediction. There are many methods and their nonlinear quantifiers to…
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Keywords:
nonlinear strength;
methods nonlinear;
phase;
phase correlation ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym15010047
Abstract: In this work, we propose the use of non-homogeneous grids in 1D and 2D for the study of various nonlinear physical equations using spectral methods. As is well known, the use of spectral methods allow…
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Keywords:
optics equations;
nonlinear optics;
optics;
non uniform ... See more keywords
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Published in 2018 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2018133
Abstract: In this paper, first we survey the recent progress in usage of the critical point theory to study the existence of multiple periodic and subharmonic solutions in second order difference equations and discrete Hamiltonian systems…
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Keywords:
difference equations;
difference;
topological methods;
methods nonlinear ... See more keywords