The flux theory of gravitation V: The mathematics of the new physics

Applied Mathematics and Computation

Volumn 130, Issue 1, 2002, Pages 145-169

  Escultura, E E ^a  

^a UNIVERSITY OF THE PHILIPPINES   (Philippines)

Author keywords

Chaos; Clustering; Cosmic wave; Flux; Fractal; Interaction; Prima; Qualitative, global, physical and probabilistic mathematics; Shock wave; Turbulence; Vortex

Indexed keywords

EID: 0037173508     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00088-1     Document Type: Article

References (60)

1. Astronomy (August) (1995) 88–93
2. P. Benacerraf H. Putnam Philosophy of Mathematics 1985 Cambridge University Press Cambridge
3. P.C. Davies J. Brown Superstring: A Theory of Everything? 1988 Cambridge University Press New York
4. Discover (February) (1996) 38–45; (July) (1999) 76–82; (November) (1998) 66–75
5. Encarta 98, CD Electronic Encyclopedia
6. E.E. Escultura Introduction to Qualitative Control Theory 1991 Kalikasan Manila
7. E.E. Escultura The mathematics of singularities Transactions of the National Academy of Science and Technology, Manila vol. XIV 1992 141 153
8. E.E. Escultura Diophantus: Introduction to Mathematical Philosophy (with Solution of Fermat and Other Applications) 1993 Kalikasan Manila
9. E.E. Escultura Superstring dynamics Suplemen Proceedings, Bandung vol. 25 1993 118 124
10. E.E. Escultura Probabilistic mathematics and applications to dynamic systems including Fermat's last theorem Proceedings of the 2nd International Conference on Dynamic Systems and Applications 1996 Dynamic Publishers Atlanta 147 152
11. E.E. Escultura The solution of the gravitational n-body problem Nonlinear Analysis 30 8 1997 5021 5032
12. E.E. Escultura Superstring loop dynamics and applications to astronomy and biology Nonlinear Analysis 35 1 1991 259 285
13. E.E. Escultura, Theory of intelligence and evolution, Indian Journal of Pure and Applied Mathematics, to appear
14. E.E. Escultura Exact solutions of Fermat's equation (definitive resolution of Fermat's last theorem) Nonlinear Studies 5 2 1998 227 254
15. E.E. Escultura From macro to quantum gravity Problems of Nonlinear Analysis in Engineering Systems 7 2001 22 41
16. E.E. Escultura, Quantum gravity, in: Proceedings of the 3rd International Conference on Dynamic Systems and Applications, Atlanta, 1999, pp. 154–162
17. E.E. Escultura, The flux theory of gravitation, in: Proceedings of the 3rd International Conference on Tools for Mathematical Modelling, St. Petersburg, 1999, pp. 74–89
18. E.E. Escultura, Set-valued differential equations and applications to quantum gravity, in: Proceedings of the 3rd International Conference on Differential Equations, St. Petersburg, Russia, 2000, pp. 15–31
19. E.E. Escultura, The flux theory of gravitation II: Recent verification and applications, International Journal of Nonlinear Differential Equations: Theory, Methods and Applications, to appear
20. E.E. Escultura, Turbulence: theory, verification and applications, in: Proceedings of the 3rd World Congress of Nonlinear Analysts, Catania, Italy, 2000, Nonlinear Analysis Series B: Real World Applications (special issue)
21. E.E. Escultura, The physics of the flux theory of gravitation, International Journal of Nonlinear Differential Equations: Theory, Methods and Applications, to appear
22. E.E. Escultura, The flux theory of gravitation III: Vortex interaction. Problems of Nonlinear Analysis in Engineering Problems, submitted
23. E.E. Escultura, The flux theory of gravitation IV: Chaos, turbulence and fractal, Indian Journal of Pure and Applied Mathematics, to appear
24. E.E. Escultura, By-passing chaos with a theory of turbulence and development, in: E. Perez, D. Bonzo (Eds.), Finance Stochastics, World Scientific, London, 2001
25. E.E. Escultura, V.V. Gudkov, Mathematical models on the way from superstring to photon, Nonlinear Analysis (2000), submitted
26. M. Feix, Rapport D'Activite Du 01 Juillet 1990 Au 01 Juillet 1992, Centre National de la Recherches Scientifiques (Phys. Math., Modélisation et simul.), Lyons, 1992
27. I.L. Gerlovin, The Foundations of United Theory of Interactions in a Substance, Energoattomizdat, Leningrad, 1990
28. J. Gleick Chaos: Making a New Science 1998 Penguin New York
29. J. Gribbin Companion to the Cosmos 1996 Weidenfeld & Nicolson London
30. V.V. Gudkov, Matrix sol. of diffusion equation, Nonlinear Analysis, submitted
31. V.V. Gudkov Geometrical properties of matrix solutions of Klein–Gordon equations Journal of Physics A: Mathematical, Nuclear and General 32 26 1999 281 284
32. V.V. Gudkov A family of exact traveling wave solutions to nonlinear evolution and wave equations Journal of Mathematical Physics 37 12 1997 959 985
33. V.V. Gudkov, New types of wave solutions to the general nonlinear Klein–Gordon equation, Comp. Math. and Math. Phys. 37(5) 584–589
34. S. Hawking A Brief History of Time 1989 Bantam Press London
35. H. Horgan, Scientific American (October) (1993) 74–82
36. M. Kaku J. Thompson Beyond Einstein 1995 Anchor Books New York
37. M. Kline Mathematics: The Loss of Certainty 1980 Oxford University Press New York
38. I. Lakatos J. Worral E. Zahar Proofs and Refutations 1976 Cambridge University Press Cambridge
39. B.V. Krylov, B.F. Shehegelov, Mathematical Methods in the Physiology of Sensory Systems, Book of Abstracts, 2nd International Conference on Tools for Mathematical Modelling, St. Petersburg, Russia, June 14–19, 1999
40. Mathematical Society of Japan, Encyclopedic Dictionary of Mathematics, 2nd ed., MIT Press, Cambridge, 1999
41. New Scientist (July 12) (1997) 28–32
42. G.S. Osipenko, A.N. Pokrovsky, B.V. Krylov, V.B. Plakhova, Mathematical Modelling of Pain Sensation, Book of Abstracts, 2nd International Conference on Mathematical Modeling, St. Petersburg, Russia, June 14–19, 1999, p. 96
43. Our Solar System, A Reader's Digest Young Families Book, Joshua Morris Publishing, Westport, CT, 1998
44. F.D. Peat Superstrings, Search for Theories of Everything 1970 Abacus London
45. C.A. Pickover Chaos and Fractals 1998 Elsevier Amsterdam
46. L.S. Pontrjagin V.G. Boltyanskii R.V. Gamkrelidze E.F. Mischenko L.W. Neustadt The Mathematical Theory of Optimal Processes 1962 Interscience New York (K.N. Trirogoff, Trans.)
47. A.N. Pokrovsky, Small Parameters in Neuron Models, Book of Abstracts, 2nd International Conference on Tools for Mathematical Modelling, St. Petersburg, Russia, June 14–19, 1999
48. A.N. Pokrovsky Mathematical model of the neural network memorizing the time interval Biofizika 41 5 1996 1102 1105
49. T. Postelnicu, Fractal and non-fractal growth of biological cell systems, Presented at the 3rd World Congress of Nonlinear Analysts, Catania, Italy; Nonlinear Analysis (2000), submitted
50. A. Robinson Nonstandard Analysis 1966 North-Holland Amsterdam
51. H.L. Royden Real Analysis 3rd ed. 1983 MacMillan New York
52. Science 282(5397) (1998) 2156–2157; 2158–2159
53. Scientific American (April) (1983) 708–745
54. Scientific American (April) (1995) 11–14
55. G. Smoot K. Davidson Wrinkles in Time 1988 Avon Books New York
56. Time (November) (1995) 40–49
57. R.R. Trippi Chaos and Nonlinear Dynamics, Financial Markets 1995 Irwin Homewood, IL
58. L.C. Young, Generalized curves and the existence of an attained absolute minimum in the calculus of variations, C. R. Sci. Lettr., Varsovie, Cl III 30 (1937) 211–234
59. L.C. Young Lectures on the Calculus of Variations and Optimal Control Theory 1969 Saunders Philadelphia
60. L.C. Young Mathematicians and Their Times 1980 North-Holland Amsterdam