Fomin E. Geometrical modeling of iterative pendular mechanical systems.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U003863

Thesis Registration Form

0407U003863.pdf

Applicant for

Fomin Eugeny Nikolaevich

Specialization

05.01.01 - Прикладна геометрія, інженерна графіка

Date of defense

19-09-2007

Specialized Academic Board

Д 18.819.02

Essay

Object - a graphic image Lorentz attractor; the purpose - to investigate geometrical properties Lorentz attractor depending on entering parame-ters and entry conditions, as bases of definition thermal convective streams of a liquid in the rec-tangular channel; methods - elements of the differential equations and computer schedules with application of positions of applied geome-try and methods of calculus mathematics; theo-retical and practical results - the method of drawing up of algorithms of geometrical mod-elling of phase trajectories Lorentz attractor to a basis of transparent methodology of introduc-tion of the metrics and application of process orthogonally is developed; Scientific novelty - the way of the description of coordinate sur-faces which limit branches Lorentz attractor for the first time is offered, for the first time is de-veloped graphicanalytical a way of calculation of parameters of Lyapunov, for the first time is developed graphicanalytical a way of definition of periodic orbits of phase trajectories of sys-tem of Lorentz as criterion to keep separating from chaos and a way of definition of ana-logues of Benar cells on the basis of periodic decisions of system of the equations of Lor-entz; a degree of introduction - it is introduced on state enterprise Belotcerkosky a factory "Etalon"; sphere of use - processes convective streams of a liquid and chaotic processes of other physical nature.

Thesis supervisor

Larin Alexander Nikolaevich

Official opponents

. Ванін Володимир Володимирович
Гнатушенко Володимир Володимирович

Files

aref.doc

dodatok_A_fom.doc

dodatok_B_fom.doc

literatura_fom.doc

razdel_1_fom--1_0_fom.doc

razdel_1_fom--1_1_fom.doc

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razdel_1_fom--1_3_fom.doc

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razdel_1_fom--1_5_fom.doc

razdel_1_fom--vivod_1_fom.doc

razdel_2_fom--2_0_fom.doc

razdel_2_fom--2_1_fom.doc

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razdel_2_fom--2_5_fom.doc

razdel_2_fom--2_6_fom.doc

razdel_2_fom--2_7_fom.doc

razdel_2_fom--vivod_2_fom.doc

razdel_3_fom--3_0_fom.doc

razdel_3_fom--3_1_fom.doc

razdel_3_fom--3_2_fom.doc

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razdel_3_fom--3_5_fom.doc

razdel_3_fom--3_6_fom.doc

razdel_3_fom--3_7_fom.doc

razdel_3_fom--vivod_3_fom.doc

tit_zmist_fom.doc

vivod_disert_fom.doc

vstup_fom.doc

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