Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 67, Number 2, Pages 263–288(Mi tmf5006)
This article is cited in 2 scientific papers (total in 2 papers)
Solution of the system of Lorenz equations in the asymptotic limit of large Rayleigh numbers. II. Description of trajectories near a separatrix by the matching method
Abstract:
By the method of dividing trajectories into stages and matching them, a theory is
developed for constructing asymptotic solutions to Lorenz's system of nonlinear
differential equations in the limit of large Rayleigh numbers in a small neighborhood
of the zeroth separatrix surface. For this neighborhood, the mapping of Poincar6
successions is obtained and its topological properties described. The use of scaling
leads to the finding of a simple succession map without a small parameter describing a large number of bifurcations with increase in the period multiplicity.
Citation:
L. A. Pokrovskii, “Solution of the system of Lorenz equations in the asymptotic limit of large Rayleigh numbers. II. Description of trajectories near a separatrix by the matching method”, TMF, 67:2 (1986), 263–288; Theoret. and Math. Phys., 67:2 (1986), 490–507
\Bibitem{Pok86}
\by L.~A.~Pokrovskii
\paper Solution of the system of Lorenz equations in the asymptotic limit of large Rayleigh numbers. II.~Description of trajectories near a~separatrix by the matching method
\jour TMF
\yr 1986
\vol 67
\issue 2
\pages 263--288
\mathnet{http://mi.mathnet.ru/tmf5006}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=851561}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 67
\issue 2
\pages 490--507
\crossref{https://doi.org/10.1007/BF01118156}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986F368200008}
This publication is cited in the following 2 articles:
Darryl D. Holm, Gregor Kovačič, Thomas A. Wettergren, “Homoclinic orbits in the Maxwell-Bloch equations with a probe”, Phys. Rev. E, 54:1 (1996), 243
Darryl D. Holm, Gregor Kovačič, Thomas A. Wettergren, “Near-integrability and chaos in a resonant-cavity laser model”, Physics Letters A, 200:3-4 (1995), 299
Citation in format AMSBIB
Contact us: