FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2040811232> ?p ?o ?g. }

• W2040811232 endingPage "3846" @default.
• W2040811232 startingPage "3821" @default.
• W2040811232 abstract "Dynamical systems in the real domain are currently one of the most popular areas of scientific study. A wealth of new phenomena of bifurcations and chaos has been discovered concerning the dynamics of nonlinear systems in real phase space. There is, however, a wide variety of physical problems, which, from a mathematical point of view, can be more conveniently studied using complex variables. The main advantage of introducing complex variables is the reduction of phase space dimensions by a half. In this survey, we shall focus on such classes of autonomous, parametrically excited and modulated systems of complex nonlinear oscillators. We first describe appropriate perturbation approaches, which have been specially adapted to study periodic solutions, their stability and control. The stability analysis of these fundamental periodic solutions, though local by itself, can yield considerable information about more global properties of the dynamics, since it is in the vicinity of such solutions that the largest regions of regular or chaotic motion are observed, depending on whether the periodic solution is, respectively, stable or unstable. We then summarize some recent studies on fixed points, periodic solutions, strange attractors, chaotic behavior and the problem of chaos control in systems of complex oscillators. Some important applications in physics, mechanics and engineering are mentioned. The connection with a class of complex partial differential equations, which contains such famous examples, as the nonlinear Schrödinger and Ginzburg–Landau equations is also discussed. These complex equations play an important role in many branches of physics, e.g. fluids, superconductors, plasma physics, geophysical fluids, modulated optical waves and electromagnetic fields." @default.
• W2040811232 created "2016-06-24" @default.
• W2040811232 creator A5028404620 @default.
• W2040811232 creator A5030955773 @default.
• W2040811232 date "2004-11-01" @default.
• W2040811232 modified "2023-10-16" @default.
• W2040811232 title "THE DYNAMICS OF SYSTEMS OF COMPLEX NONLINEAR OSCILLATORS: A REVIEW" @default.
• W2040811232 cites W1567277313 @default.
• W2040811232 cites W1965989821 @default.
• W2040811232 cites W1967967644 @default.
• W2040811232 cites W1972138769 @default.
• W2040811232 cites W1975911021 @default.
• W2040811232 cites W1986177202 @default.
• W2040811232 cites W2006858638 @default.
• W2040811232 cites W2012620638 @default.
• W2040811232 cites W2012730292 @default.
• W2040811232 cites W2013578581 @default.
• W2040811232 cites W2014832198 @default.
• W2040811232 cites W2016866497 @default.
• W2040811232 cites W2018021630 @default.
• W2040811232 cites W2019592819 @default.
• W2040811232 cites W2021907377 @default.
• W2040811232 cites W2022072217 @default.
• W2040811232 cites W2023464234 @default.
• W2040811232 cites W2026823472 @default.
• W2040811232 cites W2026977127 @default.
• W2040811232 cites W2029585432 @default.
• W2040811232 cites W2037543594 @default.
• W2040811232 cites W2039034656 @default.
• W2040811232 cites W2042416481 @default.
• W2040811232 cites W2048196483 @default.
• W2040811232 cites W2053225475 @default.
• W2040811232 cites W2054404649 @default.
• W2040811232 cites W2055463797 @default.
• W2040811232 cites W2057006750 @default.
• W2040811232 cites W2064120455 @default.
• W2040811232 cites W2068551947 @default.
• W2040811232 cites W2070967795 @default.
• W2040811232 cites W2073400541 @default.
• W2040811232 cites W2073981166 @default.
• W2040811232 cites W2077161130 @default.
• W2040811232 cites W2079388642 @default.
• W2040811232 cites W2081167612 @default.
• W2040811232 cites W2082276332 @default.
• W2040811232 cites W2083791232 @default.
• W2040811232 cites W2085163390 @default.
• W2040811232 cites W2088452684 @default.
• W2040811232 cites W2089876099 @default.
• W2040811232 cites W2090634581 @default.
• W2040811232 cites W2095258853 @default.
• W2040811232 cites W2103528206 @default.
• W2040811232 cites W2119596659 @default.
• W2040811232 cites W2131438242 @default.
• W2040811232 cites W2165584546 @default.
• W2040811232 cites W2169642391 @default.
• W2040811232 cites W2170999230 @default.
• W2040811232 cites W2477244626 @default.
• W2040811232 cites W3117619190 @default.
• W2040811232 cites W4237997615 @default.
• W2040811232 cites W4251015067 @default.
• W2040811232 cites W4294967943 @default.
• W2040811232 doi "https://doi.org/10.1142/s0218127404011624" @default.
• W2040811232 hasPublicationYear "2004" @default.
• W2040811232 type Work @default.
• W2040811232 sameAs 2040811232 @default.
• W2040811232 citedByCount "68" @default.
• W2040811232 countsByYear W20408112322012 @default.
• W2040811232 countsByYear W20408112322013 @default.
• W2040811232 countsByYear W20408112322014 @default.
• W2040811232 countsByYear W20408112322015 @default.
• W2040811232 countsByYear W20408112322016 @default.
• W2040811232 countsByYear W20408112322017 @default.
• W2040811232 countsByYear W20408112322018 @default.
• W2040811232 countsByYear W20408112322019 @default.
• W2040811232 countsByYear W20408112322020 @default.
• W2040811232 countsByYear W20408112322021 @default.
• W2040811232 countsByYear W20408112322022 @default.
• W2040811232 countsByYear W20408112322023 @default.
• W2040811232 crossrefType "journal-article" @default.
• W2040811232 hasAuthorship W2040811232A5028404620 @default.
• W2040811232 hasAuthorship W2040811232A5030955773 @default.
• W2040811232 hasConcept C116672817 @default.
• W2040811232 hasConcept C121332964 @default.
• W2040811232 hasConcept C121864883 @default.
• W2040811232 hasConcept C126701199 @default.
• W2040811232 hasConcept C134306372 @default.
• W2040811232 hasConcept C14028793 @default.
• W2040811232 hasConcept C151342819 @default.
• W2040811232 hasConcept C154945302 @default.
• W2040811232 hasConcept C158622935 @default.
• W2040811232 hasConcept C164380108 @default.
• W2040811232 hasConcept C177918212 @default.
• W2040811232 hasConcept C202759130 @default.
• W2040811232 hasConcept C2775924081 @default.
• W2040811232 hasConcept C2777052490 @default.
• W2040811232 hasConcept C33923547 @default.
• W2040811232 hasConcept C41008148 @default.
• W2040811232 hasConcept C47446073 @default.

• next