Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis

Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis / edited by S.G. Tzafestas.

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, para­ metric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbi...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Tzafestas, S.G (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1985.
Edition:1st ed. 1985.
Series:Springer eBook Collection.
Subjects:
Applied mathematics.
Engineering mathematics.
Mathematical physics.
Dynamics.
Ergodic theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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): 77–85 [6]
  • 13. Subharmonics of order one third in the case of cubic restoring force, pt. II. Proc. Athens Acad. Sci., V. 32 (1957): 101–108 [7]
  • 14. Remarks on a problem of subharmonics. Proc. Athens Acad. Sci., V. 32 (1957): 143–146 [8]
  • 15. On the singularities of a system of differential equations, where the time figures explicitly. Proc. Athens Acad. Sci., V. 32 (1957): 448–451 [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): 198–227 [10]
  • 17. On a problem of nonlinear mechanics. Inf. and Control, V. 2, no. 3 (1959): 297–309; Also Proc. Athens Acad. Sci., V. 34 (1959): 238–242 [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): 1608–1611 [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): 883–887 [15]
  • 20. Method for defining principal modes of nonlinear systems utilizing infinite determinants. J. Math. Phys., V. 2, no. 6 (1961): 869–875 [17]
  • 21. On the convergence of series related to principal modes of nonlinear systems. Proc. Acad. of Athens, V. 38 (1963): 33–36 [19]
  • 2. Celestial and Orbital Mechanics
  • 22. The motion of a projectile around the earth under the influence of the earth’s gravitational attraction and a thrust. Proc. Athens Acad. Sci., V. 35 (1960): 96–103 [12]
  • 23. The Keplerian orbit of a projectile around the earth, after the thrust is suddenly removed. Proc. Athens Acad. Sci., V. 35 (1960): 191–202 [13]
  • 24. On the convergence of the solution of a special two-body problem. Proc. Acad. of Athens, V. 38 (1963): 36–39 [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): 475–489; 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): 407–416; 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): 349–355. 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): 149–154 [26]
  • 29. The entry problem (with G. Reehl), Proc. Acad. of Athens, V. 41 (1966): 246–251 [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): 1288–1294 [24]
  • 31. Stability concepts of dynamical systems. Inf. and Control, V. 9, no. 5 (1966): 531–548 [28]
  • 32. Attitude stability of a spherical satellite (with A. J. Dennison). J. Franklin Inst., V. 286, no. 3 (1968): 193–203; 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): 273–278 [42]
  • 34. Remarks on stability concepts of solutions of dynamical systems. Proc. Acad. of Athens, V. 49 (1974): 408–416 [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, Poincaré and Lagrange. Proc. VIIIth Intl. Symp. on Space, Tech. Sci., Tokyo (1969): 1163–1170 [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): 491–496 [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 Poincaré. Proc. Acad. of Athens, V. 17 (1972): 102–110 [43]
  • 3. Separatrices of Dynamical Systems
  • 40. On the separatrices of dynamical systems, Proc. Athens Acad. Sci., V. 54 (1979): 264–287 [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): 280–287
  • Appendix: Papers in Russian
  • Biographical note of D.G. Magiros
  • Complete chronological list of Magiros’ publications
  • Magiros’ unpublished works.

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