Foundations of synergetics. II: Chaos and noise.

DOI10.1007/978-3-642-80196-9zbMath0853.92001OpenAlexW4254067242MaRDI QIDQ1921587

Alexander Yu. Loskutov, Alexander S. Mikhailov

Publication date: 28 August 1996

Published in: Springer Series in Synergetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-80196-9

zbMATH Keywords

noiseattractorschaoscompetitionFokker-Planck equationtime seriesJulia setsBrownian motionchaotic dynamicsturbulenceGinzburg-Landau equationcoupled chaotic mapsfractalsself-organizationcoexistencetransition probabilitiesspatiotemporal chaosfluctuating environmentsynergeticspopulation explosionsembedding dimensionscooperative behaviordiffusion of particlesdistributed active systemsconcentration fluctuationsbirth-death systemsMikhailov's stochastic differential equationnonlinear models of population growthoptimal fluctuationsVerhulst logistic equation

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) General biology and biomathematics (92B05) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Research exposition (monographs, survey articles) pertaining to biology (92-02)

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