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Entropy in Dynamic Systems

dc.contributor.authorAwrejcewicz, Jan*
dc.contributor.authorTenreiro Machado, J. A.*
dc.date.accessioned2021-02-11T12:42:01Z
dc.date.available2021-02-11T12:42:01Z
dc.date.issued2019*
dc.date.submitted2019-12-09 11:49:16*
dc.identifier42588*
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/46557
dc.description.abstractIn order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.*
dc.languageEnglish*
dc.subjectTA1-2040*
dc.subjectT1-995*
dc.subject.classificationthema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technologyen_US
dc.subject.othern/a*
dc.subject.othernonautonomous (autonomous) dynamical system*
dc.subject.otherstabilization*
dc.subject.othermulti-time scale fractional stochastic differential equations*
dc.subject.otherconditional Tsallis entropy*
dc.subject.otherwavelet transform*
dc.subject.otherhyperchaotic system*
dc.subject.otherChua’s system*
dc.subject.otherpermutation entropy*
dc.subject.otherneural network method*
dc.subject.otherInformation transfer*
dc.subject.otherself-synchronous stream cipher*
dc.subject.othercolored noise*
dc.subject.otherBenettin method*
dc.subject.othermethod of synchronization*
dc.subject.othertopological entropy*
dc.subject.othergeometric nonlinearity*
dc.subject.otherKantz method*
dc.subject.otherdynamical system*
dc.subject.otherGaussian white noise*
dc.subject.otherphase-locked loop*
dc.subject.otherwavelets*
dc.subject.otherRosenstein method*
dc.subject.otherm-dimensional manifold*
dc.subject.otherdeterministic chaos*
dc.subject.otherdisturbation*
dc.subject.otherMittag–Leffler function*
dc.subject.otherapproximate entropy*
dc.subject.otherbounded chaos*
dc.subject.otherAdomian decomposition*
dc.subject.otherfractional calculus*
dc.subject.otherproduct MV-algebra*
dc.subject.otherTsallis entropy*
dc.subject.otherdescriptor fractional linear systems*
dc.subject.otheranalytical solution*
dc.subject.otherfractional Brownian motion*
dc.subject.othertrue chaos*
dc.subject.otherdiscrete mapping*
dc.subject.otherpartition*
dc.subject.otherunbounded chaos*
dc.subject.otherfractional stochastic partial differential equation*
dc.subject.othernoise induced transitions*
dc.subject.otherrandom number generator*
dc.subject.otherFourier spectrum*
dc.subject.otherhidden attractors*
dc.subject.other(asymptotical) focal entropy point*
dc.subject.otherregular pencils*
dc.subject.othercontinuous flow*
dc.subject.otherBernoulli–Euler beam*
dc.subject.otherimage encryption*
dc.subject.otherGauss wavelets*
dc.subject.otherLyapunov exponents*
dc.subject.otherdiscrete fractional calculus*
dc.subject.otherLorenz system*
dc.subject.otherSchur factorization*
dc.subject.otherdiscrete chaos*
dc.subject.otherWolf method*
dc.titleEntropy in Dynamic Systems*
dc.typebook
oapen.identifier.doi10.3390/books978-3-03921-617-8*
oapen.relation.isPublishedBy46cabcaa-dd94-4bfe-87b4-55023c1b36d0*
oapen.relation.isbn9783039216161*
oapen.relation.isbn9783039216178*
oapen.pages172*
oapen.edition1st*


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