Abstract:
Simple phenomenological principles are proposed which allow to construct the differential equations systems leading to chaos attractors and complicated cycles. General principles are illustrated by concrete examples.
Citation:
A. E. Filippov, “Phenomenological approach to construction of attractors”, TMF, 94:3 (1993), 463–485; Theoret. and Math. Phys., 94:3 (1993), 325–338
\Bibitem{Fil93}
\by A.~E.~Filippov
\paper Phenomenological approach to construction of attractors
\jour TMF
\yr 1993
\vol 94
\issue 3
\pages 463--485
\mathnet{http://mi.mathnet.ru/tmf1437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1226225}
\zmath{https://zbmath.org/?q=an:0801.58028}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 94
\issue 3
\pages 325--338
\crossref{https://doi.org/10.1007/BF01017265}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MA71000011}
Linking options:
https://www.mathnet.ru/eng/tmf1437
https://www.mathnet.ru/eng/tmf/v94/i3/p463
This publication is cited in the following 4 articles:
Alexander Filippov, Alexander Kovalev, Stanislav Gorb, “Large River Effect or Frozen Kinetics: How Complex Nonlinear Living Systems Solve Optimization Problems”, Bull Math Biol, 82:7 (2020)
Alexander E. Filippov, Stanislav N. Gorb, Biologically-Inspired Systems, 16, Combined Discrete and Continual Approaches in Biological Modelling, 2020, 1
A. E. Filippov, “A simple model of the evolution of a dust medium”, Theoret. and Math. Phys., 103:1 (1995), 475–481
A.E. Filippov, “Simple model of dust medium evolution”, Physics Letters A, 189:5 (1994), 361