Stanislav Dmitrievich Furta

Possui mestrado em Mathematics, Mechanics pela The State University Of Moscow(1983), doutorado em Mathematics, Mechanics pela The State University Of Moscow(1986) e pós-doutorado pela Institute B Of Mechanics Of The University Of Stuttgart(1993). Tem experiência na área de Matemática, com ênfase em Análise. Atuando principalmente nos seguintes temas:Instability, Non-integrability, Asymptotic solutions, Invariant manifolds, Groups of symmetries.

Informações coletadas do Lattes em 22/11/2022

Acadêmico

Formação acadêmica

Doutorado em Mathematics, Mechanics

1983 - 1986

The State University Of Moscow
Título: Asymptotic Trajectories and Instability of Equilibria of Mechanical Systems
Orientador: Prof Valery Vasilevich Kozlov
Bolsista do(a): The State University Of Moscow, MSU, Rússia. Palavras-chave: Instability; Asymptotic solutions; The Routh theorem; Infinitely-dimensional mechanical systems.Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise / Especialidade: Equações Diferenciais Funcionais. Grande Área: Ciências Exatas e da Terra / Área: Física / Subárea: Áreas Clássicas de Fenomenologia e suas Aplicações / Especialidade: Mecânica, Elasticidade e Reologia. Setores de atividade: Outros Setores.

Mestrado em Mathematics, Mechanics

1978 - 1983

The State University Of Moscow
Orientador: Prof Valery Vasilevich Kozlov
Bolsista do(a): The State University Of Moscow, MSU, Rússia. Palavras-chave: Instability; Asymptotic solutions; The Routh theorem.Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise / Especialidade: Equações Diferenciais Ordinárias. Grande Área: Ciências Exatas e da Terra / Área: Física / Subárea: Áreas Clássicas de Fenomenologia e suas Aplicações / Especialidade: Mecânica, Elasticidade e Reologia. Setores de atividade: Outros Setores.

Pós-doutorado

1996 - 0000

Livre-docência. , Moscow Aviation Institute. , Título: The First Lyapunov Method for Strongly Non-linear Systems, Ano de obtenção: 1996., Palavras-chave: Instability; Non-integrability; Asymptotic solutions; Invariant manifolds; Groups of symmetries., Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise / Especialidade: Equações Diferenciais Ordinárias. , Grande Área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Matemática Aplicada / Especialidade: Física Matemática. , Grande Área: Ciências Exatas e da Terra / Área: Física / Subárea: Áreas Clássicas de Fenomenologia e suas Aplicações / Especialidade: Mecânica, Elasticidade e Reologia. , Setores de atividade: Outros Setores.

1992 - 1993

Pós-Doutorado. , Institute B Of Mechanics Of The University Of Stuttgart. , Bolsista do(a): The German Servise Of Academic Exchanges. , Grande área: Ciências Exatas e da Terra / Área: Física / Subárea: Áreas Clássicas de Fenomenologia e suas Aplicações / Especialidade: Mecânica, Elasticidade e Reologia. , Grande Área: Engenharias / Área: Engenharia Mecânica / Subárea: Mecânica dos Sólidos / Especialidade: Dinâmica dos Corpos Rígidos, Elásticos e Plásticos.

Idiomas

Bandeira representando o idioma Inglês

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Bandeira representando o idioma Português

Compreende Pouco, Fala Pouco, Lê Pouco, Escreve Pouco.

Bandeira representando o idioma Alemão

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Bandeira representando o idioma Russo

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Áreas de atuação

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise/Especialidade: Equações Diferenciais Ordinárias.

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise/Especialidade: Equações Diferenciais Parciais.

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Matemática Aplicada/Especialidade: Física Matemática.

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise/Especialidade: Análise Funcional Não-Linear.

Grande área: Ciências Exatas e da Terra / Área: Física / Subárea: Áreas Clássicas de Fenomenologia e suas Aplicações/Especialidade: Mecânica, Elasticidade e Reologia.

Produções bibliográficas

  • FURTA, S. D. ; KOZLOV, V. V. . The first Lyapunov method for strongly non-linear systems of differential equations. Resenhas do Instituto de Matemática e Estatística da Universidade de São Paulo , Sao Paulo, v. 5, n.1, p. 1-24, 2001.

  • FURTA, S. D. ; BARDIN, B. S. . Soliton-like oscillations of an infinite beam on a non-linearly elastic support. Chaos, Solitons and Fractals , Oxford, v. 9, n.1/2, p. 145-156, 1998.

  • FURTA, S. D. ; KLIEM, W. ; POMMER, C. . On the buckling of an elastic rotating beam. European Journal of Mechanics. A, Solids , Paris, v. 16, n.2, p. 307-324, 1997.

  • FURTA, S. D. . Invariant curves of discrete dynamical systems in a neighbourhood of an equilibrium position. Regular and Chaotic Dynamics , Moscow, v. 2, n.3/4, p. 156-169, 1997.

  • FURTA, S. D. ; KOZLOV, V. V. . The first method of Lyapunov for strongly nonlinear systems. Journal of Applied Mathematics and Mechanics , Moscow, v. 60, n.1, p. 7-18, 1996.

  • FURTA, S. D. . On non-integrability of general systems of differential equations. Zeitschrift für Angewandte Mathematik und Physik , Basel, v. 47, p. 112-131, 1996.

  • FURTA, S. D. ; KOZLOV, V. V. . On solutions of systems of differential equations with a generalized power asymptotics . Mathematical Notes of the Academy of Sciences of the USSR (Cessou em 1991. Cont. 1067-9073 Mathematical Notes) , Moscow, v. 58, n.6, p. 851-861, 1995.

  • FURTA, S. D. . On asymptotic solutions of systems of differential equations with a deviating argument. Sbornik. Mathematics , Moscow, v. 78, n.1, p. 175-186, 1994.

  • FURTA, S. D. . On some problems of the study of stability of equilibria of systems with an infinite number of degrees of freedom. Meccanica (Milano) , Rome, v. 29, p. 195-210, 1994.

  • FURTA, S. D. . Dynamical stability of an elastic column and phenomenon of bifurcation . Mathematical Methods in the Applied Sciences , Stuttgart, v. 17, p. 855-875, 1994.

  • FURTA, S. D. . On the motion of a roupe on a rough surface. Archive of Applied Mechanics , Berlin, v. 64, p. 357-364, 1994.

  • FURTA, S. D. . On the instability of ´folded´equilibria of a flexible nonstretchable thread attached to the satellite in a circular orbit. Celestial Mechanics & Dynamical Astronomy , Dordrecht, v. 53, p. 255-266, 1992.

  • FURTA, S. D. . On asymptotic solutions of systems of differential equations in the case of pure imaginary eigen-values. Differential Equations , Minsk, v. 26, n.8, p. 988-991, 1991.

  • FURTA, S. D. . The instability of equilibrium positions of constrained mechanical systems. Soviet Applied Mechanics , Kiev, v. 27, n.2, p. 204-208, 1991.

  • FURTA, S. D. . Bifurcations of equilibrium formes of a nonhomogeneous nonlinear elastic rod in a gravity force field. Mechanics Of Rigid Bodies , Kiev, n.22, p. 92-96, 1991.

  • FURTA, S. D. . On steady-state motions of an elastic membrane on a circular orbit. Cosmic Research, Moscow, v. 28, n.1, p. 47-55, 1990.

  • FURTA, S. D. . On dynamical stability of an elastic column. Journal of Applied Mathematics and Mechanics , Moscow, v. 54, n.6, p. 769-776, 1990.

  • FURTA, S. D. . On asymptotic trajectories of dynamical systems. Dynamics Of Systems Dynamics Stochasticity Bifurcations , Gor´ky, p. 89-101, 1990.

  • FURTA, S. D. . On the loss of stability of a flexible nonstretcable thin rod with one of the ends fixed in the gravity force field. Moscow University Math Bulletin , Moscow, n.6, p. 37-42, 1988.

  • FURTA, S. D. . On asymptotic motions of an asymmetric rigid body in a circular orbit in the case of a third-order resonance. Cosmic Research, Moscow, v. 24, n.6, p. 943-944, 1988.

  • FURTA, S. D. . On asymptotic solutions of equations of motion of mechanical systems. Journal of Applied Mathematics and Mechanics , Moscow, v. 50, n.6, p. 726-731, 1987.

  • FURTA, S. D. . On instability of equilibrium of a gyroscopic system with two degrees of freedom. Moscow University Math Bulletin , Moscow, n.5, p. 100-101, 1987.

  • FURTA, S. D. ; DEMIN, V. G. ; KOSENKO, I. I. ; KRASILNIKOV, P. S. . Selected Problems of Celestial Mechanics (to the memory of Prof. V.G.Demin). Izhevsk: The Udmurtian University Publishing House, 1999. 210p .

  • FURTA, S. D. (Org.) . Actual Problems of Theretical and Celestial Mechanics. Moscow: Elf Ltd, 1998.

  • FURTA, S. D. . Two-body problem from different points of view. Moscow: Elf Ltd., 1997. 97p .

  • FURTA, S. D. ; KOZLOV, V. V. . Asymptotics of Solutions of Strongly Non-linear Systems of Differential Equations. Moscow: Moscow University Publishing House, 1996. 244p .

  • ASRIEV, A. V. ; FURTA, S. D. ; GRISHIN, M. V. ; MELESHKIN, A. V. ; SAFONOV, A. V. . Collection of problems on functional analysis. Measure and Integral. Moscow: Moscow Aviation Institute Publishing House, 1990. 45p .

  • FURTA, S. D. ; BARDIN, B. S. . Local theory of existence of periodic wave motions of an infinite beam on a non-linear elastic support. In: S.D.Furta. (Org.). Actual Problems of Classical and Celestial Mechanics (to the memory of Prof. V.G.Demin). Moscow: Elf Ltd., 1998, v. , p. 13-22.

  • FURTA, S. D. . On some problems of the study of stability of equilibria of systems with an infinite number of degrees of freedom. In: K.S.Kolesnikov. (Org.). Theoretical Mechanics. Problems and Didactics. Moscow: Moscow State Technical University, 1996, v. 22, p. 63-72.

  • FURTA, S. D. . On asymptotic trajectories of smooth non-invertible dynamical systems. In: V.G.Veretennikov. (Org.). Functional Methods in Boundary-Value Problem Theory. Moscow: Moscow Aviation Institute Publishing House, 1992, v. , p. 48-56.

  • FURTA, S. D. ; VLASOVA, O. V. . On a mechanism of instability in systems with elastic collisions. In: Veretennikov V.G.. (Org.). Selected Problems of Dynamics of Mechanical Systems. Moscow: Moscow Aviation Institute Publishing House, 1991, v. , p. 16-21.

  • FURTA, S. D. . Asymptotic trajectories of mechanical systems and the problem of the inversion of the Routh theorem on equilibrium stability. In: N.F.Otrokov. (Org.). Differential and Integral Equations. Methods of Topological Dynamics. Gor´ky: Gor´ky State University, 1990, v. , p. 80-86.

  • FURTA, S. D. . On motions of an axis-symmetrical gyroscope affected by small random disturbances. In: V.V.Malyshev. (Org.). Analysis and Synthesys of Dynamical Systems under uncertainity conditions. Moscow: Moscow Aviation Institute, 1990, v. , p. 75-80.

  • FURTA, S. D. . On instability of equilibria of a filament on an inclined plane. In: V.V.Malanin. (Org.). Problems of Mechanics of Controlled Motion. Nonlinear Dynamical Systems. Perm: Perm State University, 1990, v. , p. 134-139.

  • FURTA, S. D. . Asymptotic solutions of semiquasi-homogeneous systems of differential equations. In: V.V.Kozlov. (Org.). Mathematical Methods in Mechanics. Moscow: The Moscow Univesity Publishing House, 1990, v. , p. 93-97.

  • FURTA, S. D. . On asymptotic solutions of autonomous systems of differential equations in the critical case of several zero eigen-values. In: V.V.Malanin. (Org.). Problems of Mechanics of Controlled Motion. Perm: Perm State University, 1989, v. , p. 152-157.

  • FURTA, S. D. . Asymptotic trajectories of mechanical systems affected by viscous friction forces. In: V.G.Veretennikov. (Org.). Analytical and Numerical Methods for Studying Mechanical Systems. Moscow: Moscow Aviation Institute Publishing House, 1989, v. , p. 35-38.

  • FURTA, S. D. . A theorem on instability via an even approximation. In: O.A.Oleynik; V.A.Sadovnichy; P.L.Ulyanov. (Org.). Differential Equations, Harmonic Analysis and Their Applications. Moscow: Moscow University Publishing House, 1987, v. , p. 50-51.

  • FURTA, S. D. . Non-integrability of perturbed twist mappings and chaotic phenomena. In: EUROMECH Colloquium - 308, 1994, Lodz. Nonlinear Science: Chaos & Nonlinear Mechanics. New York: John Wiley & Sons, 1993. v. 4. p. 5-15.

  • FURTA, S. D. ; VLASOVA, O. V. . Asymptotic solutions of systems of ordinary differential and difference equations with smooth right-hand sides and applications in mechanics. In: Top Problems of Fundamental Sciences, 1991, Moscow. Proceedings of the Conference. Moscow: Moscow State Technical University, 1989. v. 8. p. 22-25.

  • FURTA, S. D. ; DEMIN, V. G. ; MARKOV, Y. G. ; CHURKINA, N. I. . Stationary motions of mechanical systems with an infinite number of degrees of freedom. In: IUTAM Symposium: Dynamical Problems of Rigid-Elastic Systems and Structures, 1991, Moscow. Proceedings of the Symposium. Berlin: Springer-Verlag, 1989. p. 83-90.

  • FURTA, S. D. . Bifurcation and stability of equilibrium shapes of a nonlinearelastic nonstretchable rod in the gravity field. In: V All-Union Chetaev Conference on Analytical Mechanics, Stability Theory and Control, 1990, Kazan. Proceedings of the Conference. Moscow: Academy of Sciences of the USSR, 1987. p. 64-72.

  • FURTA, S. D. . On instability of equilibria of non-natural conservative systems. In: The Lyapunov Method in the Analysis of Dynamics of Systems, 1987, Irkutsk. The Lyapunov Method in the Analysis of Dynamics of Systems. Novosibirsk: Nauka, 1985. p. 203-206.

  • FURTA, S. D. . Wave propagation in an infinite beam on a nonlinearly elastic support. In: International Conference on Differential Equations and Dynamical Systems in honour of W.M.Oliva, 2000, Lisbon. Abstracts. Lisbon: Instituto Superior Technico, 2000. p. 14.

  • FURTA, S. D. ; KOZLOV, V. V. . The first Lyapunov method for strongly nonlinear systems. In: International Conference on Dynamical Systems and Evolutionary Equations in honour of J.K.Hale, 1998, Lisbon. Abstracts. Lisbon: Instituto Superior Tecnico, 1998. p. 16-18.

  • FURTA, S. D. ; BARDIN, B. S. . Soliton-like oscillations of an infinite beam on a nonlinearly elastic support. In: International Conference: Applied Chaotic Systems, 1996, Lodz. Abstracts. Lodz: Technical University of Lodz, 1996. p. 8.

  • FURTA, S. D. . Dynamics of perturbed twist mappings and integrability of billiards. In: International Symposium on Classical and Quantum Billiards, 1994, Ascona. Abstracts. Ascona: Center for Theoretical Physics, 1994. p. 18.

  • FURTA, S. D. . Nonexponential asymptotics of solutions to differential equations. In: International Congress of Mathematicians, 1994, Zuerich. Abstracts. Zuerich: ETH, 1994. p. 192.

  • FURTA, S. D. . On asymptotic solutions of differential equations with deviating argument in some critical cases. In: International Conference on Functional Differentional Equations and Applications, 1994, Moscow. Abstracts. Moscow: Moscow Aviation Institute, 1994. p. 27-28.

  • FURTA, S. D. . The integrability problem and the chaotic behaviour of discrete dynamical systems close to a twist mapping. In: I European Nonlinear Oscillations Conference, 1993, Hamburg. Abstracts. Hamburg: Technical University of Hamburg-Harburg, 1993. p. 40.

  • FURTA, S. D. ; KOZLOV, V. V. . On asymptotic solutions of equations of motion of mechanical systems. In: XVIII International Congress on Theoretical and Applied Mechanics, 1992, Haifa. Abstracts. Haifa: The Technion of Haifa, 1992. p. 87.

  • FURTA, S. D. . On stability of equilibria of mechanical systems with an infinite numbers of degrees of freedom. In: IV Bulgarian National Congress on Theoretical and Applied Mechanics, 1990, Varna. Proceedings of the Congress. Sofia: Bulgarian Academy of Sciences, 1989. p. 142-144.

  • FURTA, S. D. . Asymptotic solutions of smooth systems of differential equations. In: IV International Conference on Differential Equations and Applications, 1989, Russe. Abstracts. Russe: Bulgarian Academy of Sciences, 1989. p. 298.

  • FURTA, S. D. ; BARDIN, B. S. . Periodic travelling waves of an infinite beam on a non-linear elastic support. Stuttgart: Institut B fuer Mechanik, Universitaet Stuttgart, IB-36, 2001 (Technical report).

  • FURTA, S. D. . Linear vibrations of rotating elastic beam with attached particle. Stuttgart: Institut B fuer Mechanik, Universitaet Stuttgart, IB-37, 2001 (Technical report).

  • FURTA, S. D. ; PICCIONE, P. . Global existence of periodic travelling waves of an infinite non-linearly supported beam I. Continuous model. Sao Paulo: Trabalhos do Departamento de Matematica. IME.USP. RT-MAT 2001-09, 2001 (Technical report).

  • FURTA, S. D. ; BARONE, A. . Stability of trivial equilibrium position of two non-linearly coupled oscillators. Sao Paulo: Trabalhos do Departamento de Matematica. IME.USP. RT-MAT 2001-10, 2001 (Technical report).

  • FURTA, S. D. . On loss of stability of rectilinear shape of a rope moving in a resisting medium. Torino: University of Torino, Quaderno 13, 2000 (Technical report).

  • FURTA, S. D. . Once again on the Yoshida criterion. Lyngby: Mathematical Institute of the Technical University of Denmark. MAT-REPORT 1994-46, 1994 (Technical report).

  • FURTA, S. D. . Dynamical analysis of nonlinear systems by perturbed twist mappings. Stuttgart: Institut B fuer Mechanik, Universitaet Stuttgart, IB-22, 1993 (Technical report).

Prêmios

2001

Felowship of the FAPESP Foundation (Brazil), The FAPESP Foundation.

2000

Fellowship of the Alexander von Humboldt Foundation (Germany), The Alexander von Humboldt Foundation.

1997

Prize-holder : 25th Aniversary of the Moscow Aviation Institute (2nd prize) in collaboration, Rector of the Moscow Aviation Institute.

1997

Fellowship of the DAAD Foundation (Germany), The DAAD Foundation.

1992

Fellowship of the DAAD Foundation (Germany), The DAAD Foundation.

1988

The Best Young Scientist of the Moscow Aviation Institute, Rector of the Moscow Aviation Institute.

1988

The Best Young Scientist of the Leningradsky District of Moscow, Prefecture of the Leningradsky District of Moscow.

Histórico profissional

Endereço profissional

  • Universidade de São Paulo. , A/C: BENEDITO TADEU V. FREIRE//UFRN-CENTRO DE CIENCIAS EXATAS E DA TERRA, DEPARTAMENTO DE MATEMATICA, 59072970 - Natal, RN - Brasil, Telefone: (084) 215 3820, Ramal: 3822, Fax: (084) 211 9219, URL da Homepage:

Experiência profissional

2001 - 2001

Universidade de São Paulo

Vínculo: Professor Visitante, Enquadramento Funcional: Researcher, Carga horária: 40

Outras informações:
Supported by the FAPESP Foundation

Atividades

  • 05/2001 - 10/2001

    Pesquisa e desenvolvimento , Dipartamento de Matematica, .,Linhas de pesquisa

2000 - 2000

Universitá di Torino

Vínculo: Professor Visitante, Enquadramento Funcional: Researcher, Carga horária: 40

Atividades

  • 05/2000 - 06/2000

    Pesquisa e desenvolvimento , Dipartimento Di Matematica, .,Linhas de pesquisa

1997 - 2000

Higher Commersial School

Vínculo: Colaborador, Enquadramento Funcional: Full Professor, Carga horária: 20

Atividades

  • 11/1997 - 02/2000

    Ensino, Matemática, Nível: Pós-Graduação,Disciplinas ministradas, Financial Mathematics

1997 - 1997

University of Stuttgart

Vínculo: Professor Visitante, Enquadramento Funcional: Researcher, Carga horária: 40

Outras informações:
Supported by the DAAD

Atividades

  • 03/2000 - 04/2001

    Pesquisa e desenvolvimento , Institute B Of Mechanics, .,Linhas de pesquisa

  • 09/1997 - 11/1997

    Pesquisa e desenvolvimento , Institute B Of Mechanics, .,Linhas de pesquisa

1995 - 1995

Università degli studi di Trento

Vínculo: Professor Visitante, Enquadramento Funcional: Researcher, Carga horária: 40

Atividades

  • 07/1997 - 08/1997

    Pesquisa e desenvolvimento , Laboratorio Di Matematica Applicata e Meccanica Computazionale, .,Linhas de pesquisa

  • 04/1995 - 06/1995

    Pesquisa e desenvolvimento , Dipartimento Di Ingegneria Civile Ed Ambientale, .,Linhas de pesquisa

1994 - 1995

Technical University of Denmark

Vínculo: Professor Visitante, Enquadramento Funcional: Researcher, Carga horária: 40

Atividades

  • 12/1994 - 01/1995

    Pesquisa e desenvolvimento , Mathematical Institute, .,Linhas de pesquisa

1994 - 1994

Universite Catholique de Louvain

Vínculo: Professor Visitante, Enquadramento Funcional: Researcher, Carga horária: 40

Atividades

  • 02/1994 - 03/1994

    Pesquisa e desenvolvimento .,Linhas de pesquisa

1986 - 1990

Moscow Aviation Institute

Vínculo: Servidor público ou celetista, Enquadramento Funcional: Lecturer, Carga horária: 40

Atividades

  • 09/1990 - 02/2000

    Pesquisa e desenvolvimento , Department Of Theoretical Mechanics, .,Linhas de pesquisa

  • 09/1990 - 02/2000

    Ensino,,Disciplinas ministradas, Theoretical Mechanics

  • 10/1989 - 08/1990

    Direção e administração, Department Of The Probability Theory, .,Cargo ou função, Deputy Head of the Department.

  • 11/1986 - 08/1990

    Pesquisa e desenvolvimento , Department Of The Probability Theory, .,Linhas de pesquisa

  • 11/1986 - 08/1990

    Ensino,,Disciplinas ministradas, Mathematical Analysis, Differential Equations, Complex Analysis, Functional Analysis