Title	Selected Papers of Demetrios G. Magiros [electronic resource] : Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis / edited by S. G. Tzafestas
Imprint	Dordrecht : Springer Netherlands, 1985
Connect to	http://dx.doi.org/10.1007/978-94-009-5368-0
Descript	XV, 518 p. online resource

The theory of nonlinear oscillations and stability of motion is a fundamental part of the study of numerous real world phenomena. These phenomena, particularly auto-oscillations of the first and second kind, capture, paraยญ metric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbits' stability, constitute the core of problems treated in "Nonlinear Mechanics", and their study is connected with the names of H. Poincare, A. M. Lyapunov, N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a widely known scientist in the theories of oscillations and nonlinear differential equations, has devoted his numerous works to this significant part of modern physical science. His scientific results can be classified in the following way: I) creation of methods of analysis of subharmonic resonances under the nonlinear effect, 2) determination and analysis of the main modes of nonlinear oscillations on the basis of infinite determinants, 3) analysis of problems of celestial mechanics, 4) classification of stability of solutions of dynamic systems concepts, 5) mathematical analogs of physical and social systems. He has developed new methods and solutions for a great number of difficult problems of nonlinear mechanics making a significant contriยญ bution to the theory and applications of the field. Urgency, depth of perception of the considered phenomena, and practiยญ cal directness are characteristics of his work

I Applied Mathematics and Modelling -- II Nonlinear Mechanics -- 1. Subharmonic Oscillations and Principal Modes -- 12. Subharmonics of any order in case of nonlinear restoring force, pt. I. Proc. Athens Acad. Sci., V. 32 (1957): 77โ85 [6] -- 13. Subharmonics of order one third in the case of cubic restoring force, pt. II. Proc. Athens Acad. Sci., V. 32 (1957): 101โ108 [7] -- 14. Remarks on a problem of subharmonics. Proc. Athens Acad. Sci., V. 32 (1957): 143โ146 [8] -- 15. On the singularities of a system of differential equations, where the time figures explicitly. Proc. Athens Acad. Sci., V. 32 (1957): 448โ451 [9] -- 16. Subharmonics of any order in nonlinear systems of one degree of freedom: application to subharmonics of order 1/3. Inf. and Control, V. 1, no. 3 (1958): 198โ227 [10] -- 17. On a problem of nonlinear mechanics. Inf. and Control, V. 2, no. 3 (1959): 297โ309; Also Proc. Athens Acad. Sci., V. 34 (1959): 238โ242 [11] -- 18. A method for defining principal modes of nonlinear systems utilizing infinite determinants (I). Proc. Natl. Acad. Sci., U.S., V. 46, no. 12 (1960): 1608โ1611 [14] -- 19. A method for defining principal modes of nonlinear systems utilizing infinite determinants (II). Proc. Natl. Acad. Sci., U.S., V. 47, no. 6 (1961): 883โ887 [15] -- 20. Method for defining principal modes of nonlinear systems utilizing infinite determinants. J. Math. Phys., V. 2, no. 6 (1961): 869โ875 [17] -- 21. On the convergence of series related to principal modes of nonlinear systems. Proc. Acad. of Athens, V. 38 (1963): 33โ36 [19] -- 2. Celestial and Orbital Mechanics -- 22. The motion of a projectile around the earth under the influence of the earthโs gravitational attraction and a thrust. Proc. Athens Acad. Sci., V. 35 (1960): 96โ103 [12] -- 23. The Keplerian orbit of a projectile around the earth, after the thrust is suddenly removed. Proc. Athens Acad. Sci., V. 35 (1960): 191โ202 [13] -- 24. On the convergence of the solution of a special two-body problem. Proc. Acad. of Athens, V. 38 (1963): 36โ39 [20] -- 25. The impulsive force required to effectuate a new orbit through a given point in space. J. Franklin Inst., V. 276, no. 6 (1963): 475โ489; Proc. XIVth Intl. Astron. Congress, Paris, 1963 [21] -- 26. Motion in a Newtonian forced field modified by a general force, (I). J. Franklin Inst., V. 278, no. 6 (1964): 407โ416; Proc. XVth Intl. Astron. Congress, Warsaw, 1964 [22] -- 27. Motion in a Newtonian force field modified by a general force (II). J. Franklin Inst., V. 278 (1964): 349โ355. XVIth Int. Astron. Congress, Athens, Greece (1965): [23] -- 28. Motion in a Newtonian force field modified by a general force, (III). Application: the entry problem (with G. Reehl). XVIIth Intl. Astron. Congress, Madrid (1966): 149โ154 [26] -- 29. The entry problem (with G. Reehl), Proc. Acad. of Athens, V. 41 (1966): 246โ251 [27] -- III Dynamical Systems Analysis -- 1. Stability Analysis -- 30. On the stability definitions of dynamical systems. Proc. Natl. Acad. Sci. (U.S.), V. 53, no. 6 (1965): 1288โ1294 [24] -- 31. Stability concepts of dynamical systems. Inf. and Control, V. 9, no. 5 (1966): 531โ548 [28] -- 32. Attitude stability of a spherical satellite (with A. J. Dennison). J. Franklin Inst., V. 286, no. 3 (1968): 193โ203; Bull. Amer. Phys. Soc., ser. 2, V. 12, no. 3 (1967): p. 288 (Abstract) [33] -- 33. Stability concepts of solutions of differential equations with deviating arguments. Proc. Acad. of Athens, V. 46 (1971): 273โ278 [42] -- 34. Remarks on stability concepts of solutions of dynamical systems. Proc. Acad. of Athens, V. 49 (1974): 408โ416 [44] -- 35. Stability Concepts of dynamical systems. Philadelphia: Genl. Electric Co., R.S.D., 1980 [54] -- 2. Precessional Phenomena -- 36. On a class of precessional phenomena and their stability in the sense of Liapunov, Poincarรฉ and Lagrange. Proc. VIIIth Intl. Symp. on Space, Tech. Sci., Tokyo (1969): 1163โ1170 [35] -- 37. On the helicoid precession: its stability and an application to a re-entry problem (with G. Reehl.). Proc. XXth Intl. Astron. Congress, Buenos Aires, Argentina (1969): 491โ496 [37] -- 38. Orientation of the angular momentum vector of a space vehicle at the end of spin-up. Proc. XXIInd Intl. Astron. Congress, Brussels, Belgium, 1971 [41] -- 39. The stability of a class of helicoid precessions in the sense of Liapunov and Poincarรฉ. Proc. Acad. of Athens, V. 17 (1972): 102โ110 [43] -- 3. Separatrices of Dynamical Systems -- 40. On the separatrices of dynamical systems, Proc. Athens Acad. Sci., V. 54 (1979): 264โ287 [52] -- 41. Separatrices of dynamical systems. Proc. IXth Conf. on Nonlinear Oscillations, Kiev., 1981 (Yu.A. Mitropolsky, ed.), Ukrainian Acad. Sci. (Math. Inst.) Kiev. Naukova Dumka (1984): 280โ287 -- Appendix: Papers in Russian -- Biographical note of D.G. Magiros -- Complete chronological list of Magirosโ publications -- Magirosโ unpublished works

1. Mathematics
2. Dynamics
3. Ergodic theory
4. Applied mathematics
5. Engineering mathematics
6. Mathematical physics
7. Mathematics
8. Applications of Mathematics
9. Mathematical Applications in the Physical Sciences
10. Dynamical Systems and Ergodic Theory