GEORGE P FLESSAS
Professor
E-MAIL : gfle@aegean.gr
UNDERGRADUATE STUDIES
Technical University of Vienna, Austria (Diplom Ingenieur), 1971
POSTGRADUATE STUDIES
Technical University of Vienna (Dr. techn. in Mathematical Physics), 1974
PROFESSIONAL HISTORY
 Professor, Department of Information and Communication Systems
Engineering, University of the Aegean (1.02.02-)
 Professor, Department of Mathematics, University of the Aegean (1.10.8831.01.02)
 Visiting Professor, Department of Applied Mathematics and Physics, School
of Engineering, University of Patras, Greece (1985-1990).
 Research Fellow, Department of Natural Philosophy, University of Glasgow,
Scotland (1978-1985).
PROFESSIONAL SOCIETIES/INTERNATIONAL COMMITTEES
 Institute of Physics (IOP), Great Britain
EDITORIAL BOARDS (REFEREE)
 Journal of Physics A : Mathematical and General,
 Journal of Mathematical Physics
 Physics Letters A
 Journal of Mathematical Analysis and Applications
RESEARCH INTERESTS
 Ordinary Differential Equations and Dynamical Systems
 Analytic Solutions and Asymptotic Analysis
 Group – Theoretical Approach to Ordinary Differential Equations
RESEARCH COLLABORATIONS
 Professor P G L Leach, Department of Mathematics and Applied Mathematics,
University of Durban, Republic of South Africa
FUNDING OF RESEARCH GRANTS
 ΓΓΕΤ (General Secretariat for Research and Technology)
PAPERS
Journal publications
1. Nuclear rotation for low and high spin values: G. P. Flessas, Zeitschrift fur
Physik, A 279 (1976) 187.
2. On an analytical angular momentum projection method: G. P. Flessas, Lettere al
Nuovo Cimento 19 (1977) 534.
3. On the quantization of the Liouville equation: C. Syros and G. P. Flessas, Lettere
al Nuovo Cimento 20 (1977) 534.
4. On the eigenvalues of the rotating harmonic oscillator: G. P. Flessas, Physics
Letters 71 A (1979) 315.
5. Exact solutions for a doubly anharmonic oscillator: G. P. Flessas, Physics Letters
72 A (1979) 289
6. An exact solution of the Hartree - Fock - Bogolyobov equations: G. P. Flessas,
Lettere al Nuovo Cimento 26 (1979) 492
7. On the three - dimensional anharmonic oscillator: G. P. Flessas and K. P. Das,
Physics Letters 78 A (1980) 19.
8. On the origin of constant matrix elements of a two - body operator: G. P. Flessas,
Lettere al Nuovo Cimento 29 (1980) 82.
9. Exact solutions for a doubly anharmonic oscillator (II): G. P. Flessas, Physics
Letters 81 A (1981) 17.
10. On the Schroedinger equation for the x2 + λx2/(1+Gx2) interaction: G. P. Flessas,
Physics Letters 83 A (1981) 121.
11. Exact solutions for anharmonic oscillators: G. P. Flessas, Journal of Physics A:
Mathematical and General (IOP Journal) 14 (1981) L 209.
12. On the rotating harmonic oscillator equation: G. P. Flessas, Nuovo Cimento 64 B
(1981) 358.
13. An exact solution of the Schroedinger equation for a multiterm poterntial: G. P.
Flessas and A. Watt, Journal of Physics A: Mathematical and General (IOP
Journal) 14 (1981) L 315.
14. Comments on a paper concerning the analytic continued fraction technique for
bound states: G. P. Flessas, Journal of Physics A: Mathematical and General (IOP
Journal) 15 (1982) L 1.
15. Definite integrals as solutions for the x2 + λx2/(1+Gx2) interaction: G. P. Flessas,
Journal of Physics A: Mathematical and General (IOP Journal) 15 (1982) L 97.
16. On the generalized power moment method problem: G. P. Flessas, W. K. Burton
and R. R. Whitehead, Physics Letters 87 A (1982) 201 .
17. Exact solutions for the Schroedinger equation y"(x) + (E - x2 - λx2/(1+Gx2))
y"(x) = 0: R. R. Whitehead, A. Watt, G. P. Flessas and M. A. Nagarajan, Journal
of Physics A: Mathematical and General (IOP Journal) 15 (1982) 1217.
18. On the moment problem for non-positive distributions: G. P. Flessas, W. K.
Burton and R. R. Whitehead, Journal of Physics A: Mathematical and General
(IOP Journal) 15 (1982) 3119.
19. On the applicability of the Hill determinant and the analytic continued fraction
method to anharmonic oscillators: G. P. Flessas and G. S. Anagnostatos, Journal
of Physics A: Mathematical and General (IOP Journal) 15 (1082) L 437.
20. On the ax2 + bx4 interaction: G. P. Flessas, R. R. Whitehead and A. Rigas,
Journal of Physics A: Mathematical and General (IOP Journal) 16 (1983) 85
21. Non-perturbative results for the ax2 + bx4 interaction: G. P. Flessas, Physics
Letters 95 A (1983) 361.
22. Analytic treatment of the ax2 + bx4 oscillator: G. P. Flessas and R. R. Whitehead,
Journal of Mathematical Physics 25 (1984) 910.
23. On a field-theoretic non-polynomial interaction: G. P. Flessas, Physics Letters
100 A (1984) 383.
24. An analysis of the Lorenz equations: stable exact solutions: G. P. Flessas, Physics
Letters 108 A (1985) 4.
25. New exact solutioins of the complex Lorenz equations: G. P. Flessas, Journal of
Physics A: Mathematical and General (IOP Journal) 22 (1989) L 137.
26. A Rodrigues' formula approach to determining closed form solutions to the
Schroedinger equation for symmetric anharmonic oscillators: P. G. L. Leach, G.
P. Flessas and V. M. Gorringe, Journal of Mathematical Physics 30 (1989) 406.
27. A completely integrable case in the complex Lorenz equations: G. P. Flessas and
P. G. Leach, Physics Letters 154 A (1991) 127.
28. Stability of FRW cosmology in higher order gravity: S.Cotsakis and G. P.
Flessas, Physical Review D48 (1993) 3577
29. Generalized cosmic no-hair theorem: S. Cotsakis and G. P. Flessas, Physics
Letters 319B (1993) 69
30. a) Comment on a paper concerning symmetries of equations of motion and
equivalent Lagrangians: G. P. Flessas, P. G. L. Leach and S. Cotsakis, Can. J.
Physics 74 (1994) 86 b) On Noether’s formulation of her theore: G. P. Flessas, P.
G. L. Leach and C. Cotsakis, Can. J. Physics 74 (1995) 543
31. Minimally coupled scalar field wormholes: S. Cotsakis, P. G. L. Leach and G. P.
Flessas, Physical Review D49 (1994) 6489
32. Past-instability conjecture and cosmological attractors in generalized isotropic
universes: S. Cotsakis and G. P. Flessas, Physical Review D51(1995) 4160
33. Graviton creation and conformal non-invariance in higher order gravity theories:
S.Cotsakis and G. P. Flessas, Physical Review D 52(1995) 5783
34. Characterization of the algebraic properties of first integrals of scalar ordinary
differential equations of maximal symmetry: G. P. Flessas, K. S. Govinder and P.
G. L. Leach, Journal of Mathematical Analysis and Applications 212(1997)349374
35. Symmetry, Singularities and Integrability in Complex Dynamics I: The reduction
problem: P G L Leach, S Cotsakis and G P Flessas, Journal of Nonlinear
Mathematical Physics 7(2000) 445
36. Symmetry, Singularities and Integrability in Complex Dynamics II: Rescaling and
time-translation: P G L Leach, S Cotsakis and G P Flessas, Journal of
Mathematical Analysis and Applications 251(2000) 587
37. Ever-expanding, isotropizing, quadratic cosmologies: S. Cotsakis, G. P. Flessas,
P. G. L. Leach and L. Querella, Gravitation and Cosmology 6(2000) 1
38. Solutions in closed form and as power series to the real Lorenz equations: P. G.
L. Leach and G. P. Flessas, Journal of Physics A: Mathematical and General (IOP
Journal) 34 (2001) 6013
39. Complete symmetry groups of ordinary differential equations and their integrals :
some basic considerations: K Andriopoulos, P G L Leach and G P Flessas, Journal
of Mathematical Analysis and Applications 262(2001) 256
40. Generalisations of the Laplace – Runge – Lenz vector: P G L Leach and G P
Flessas, Journal of Nonlinear Mathematical Physics 10(2003) 340.
41. Stochastic effects of the non-linear Schroedinger equation: G P Flessas, P G L
Leach and A N Yannacopoulos, Journal of Optics B: Quantum and Semiclassical
Optics (IOP Journal) 6 (2004) 161
42. Nonlinear ordinary differential equations: Symmetries and singularities, G P
Flessas and P G L Leach, Problems of nonlinear analysis in Engineering Systems
No. 1(22), vol. 11, 2005.
43. Riemann's equation and Lie point symmetries: G P Flessas, P G L Leach, Phys.
Scr. (IOP Journal) 73 (2006) 377.
44. Noetherian first integrals : P G L Leach and G P Flessas, Journal of Nonlinear
Mathematical Physics 5(2008)9
International recognition
I) Citations (up to 17/10/2011): Over 726 by third parties in 428 publications (see list
below).
a) Excluding also self-citations by co-authors over 607 in 354 publications.
b) Excluding all other co-authors over 567 in 344 publications.
II) In the title of the paper : Pursey D L, Journal of Mathematical Physics 31 (9)
(1990) 2170, where paper 26 above is cited, new polynomials in the mathematical
bibliography are introduced under the name “ The Leach – Flessas – Gorringe
Polynomials “
Citations as can be seen from the international database SCISEARCH (equivalent to
ISI).
NO
HITS SEARCH EXPRESSION
-- ----- ---------- ------------------------------------------------------C=
1 32309234 IS74
S=
2
10 RF="FLESSAS G,1982,V15,PL 97"
3
6 RF=FLESSAS G,1982,V15,PL 97
4
5 RF=FLESSAS G,1982,V15,PL97
5
7 RF=FLESSAS GP,,V,P
6
1 RF=FLESSAS GP,,V14,PL 315
7
1 RF=FLESSAS GP,1973,V,P
8
1 RF=FLESSAS GP,1976,V 279,P 187
9
4 RF=FLESSAS GP,1979,V27,P289
10
14 RF=FLESSAS GP,1979,V71,P315
11
74 RF=FLESSAS GP,1979,V72,P289
12
78 RF=FLESSAS GP,1980,V78,P19
13
1 RF=FLESSAS GP,1980,V78,PA 19
14
1 RF=FLESSAS GP,1981,V14,P209
15
10 RF=FLESSAS GP,1981,V14,PL 209
16
5 RF=FLESSAS GP,1981,V14,PL 315
17
20 RF=FLESSAS GP,1981,V14,PL209
18
12 RF=FLESSAS GP,1981,V14,PL315
19
4 RF=FLESSAS GP,1981,V64,P358
20
42 RF=FLESSAS GP,1981,V81,P17
21
1 RF=FLESSAS GP,1981,V83,P103
22
80 RF=FLESSAS GP,1981,V83,P121
23
1 RF=FLESSAS GP,1981,V84,P121
24
1 RF=FLESSAS GP,1981,V87,P201
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
2
4
14
4
7
4
2
12
3
1
17
8
1
9
4
1
3
1
2
1
10
1
1
8
1
2
1
9
2
1
1
1
1
1
69
1
1
1
19
6
1
11
5
3
1
1
20
5
2
2
27
1
20
0
70
17
1
RF=FLESSAS GP,1982,V15,P3119
RF="FLESSAS GP,1982,V15,PL 1"
RF="FLESSAS GP,1982,V15,PL 1"
RF=FLESSAS GP,1982,V15,PL 537
RF=FLESSAS GP,1982,V15,PL 97
RF=FLESSAS GP,1982,V15,PL1
RF=FLESSAS GP,1982,V15,PL437
RF=FLESSAS GP,1982,V15,PL537
RF=FLESSAS GP,1982,V15,PL97
RF=FLESSAS GP,1982,V87,P201
RF=FLESSAS GP,1983,V16,P85
RF=FLESSAS GP,1983,V95,P361
RF=FLESSAS GP,1984,V,P
RF=FLESSAS GP,1984,V100,P383
RF=FLESSAS GP,1984,V25,P910
RF=FLESSAS GP,1984,V25,P923
RF=FLESSAS GP,1985,V108,P4
RF=FLESSAS GP,1988,V,P
RF=FLESSAS GP,1988,V,P161
RF=FLESSAS GP,1989,V22,PL 137
RF=FLESSAS GP,1991,V154,P127
RF=FLESSAS GP,1992,V15,P121
RF=FLESSAS GP,1994,V,P
RF=FLESSAS GP,1994,V36,P63
RF=FLESSAS GP,1994,V72,P
RF=FLESSAS GP,1994,V72,P86
RF=FLESSAS GP,1995,V,P
RF=FLESSAS GP,1997,V212,P349
RF=FLESSAS GP,2004,V6,PS161
RF=FLESSAS JP,1984,V25,P923
RF=FLESSAS P,1980,V78,P19
RF=FLOSSES GP,1983,V95,P361
RF=SYROS C,1977,V20,P213
RF=WHITEHEAD RR,1982,V15,P
RF=WHITEHEAD RR,1982,V15,P1217
RF=WHITEHEAD RR,1982,V15,P1227
RF=WHITEHEAD RR,1982,V15,P217
RF=LEACH PGL,1989,V30,P1525
RF=LEACH PGL,1989,V30,P406
RF=COTSAKIS S,1993,V48,P3577
RF=COTSAKIS S,1993,V,P
RF=COTSAKIS S,1993,V319,P69
RF=COTSAKIS S,1994,V49,P6489
RF=COTSAKIS S,1995,V51,P4160
RF=COTSAKIS S,1995,V52,P5783
RF=LEACH PGL,2000,V7,P1
RF=LEACH PGL,2000,V7,P445
RF=LEACH PGL,2000,V251,P587
RF=COTSAKIS S,2000,V6,P291
RF=COTSAKIS S,2000,V6,P66
RF=ANDRIOPOULOS K,2001,V262,P256
RF=ANDRIOPOULOS K,2000,V262,P256
RF=LEACH PGL,2003,V10,P340
58 NOT AU=(SYROS C?;FLESSAS G?)
(12;13;56) NOT AU=(FLESSAS G?;DAS KP)
(6;16;18) NOT AU=(FLESSAS G?;WATT A?)
(24;34) NOT AU=(FLESSAS G?;BURTON W?;WHITEHEAD
69
(59;60;61;62) NOT AU=(WHITEHEAD R?;WATT
R?)
83
A?;FLESSAS
G?;NAGARAJAN M?)
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
P?;QUERELLA
99
2
17
16
5
18
7
4
7
1
1
1
1
2
2
4
25 NOT AU=(FLESSAS G?;BURTON W?;WHITEHEAD R?)
(28;31;32) NOT AU=(FLESSAS G?;ANAGNOSTATOS G?)
35 NOT AU=(FLESSAS G?;WHITEHEAD R?;RIGAS A?)
(39;40) NOT AU=(FLESSAS G?;WHITEHEAD R?)
(63;64) NOT AU=(LEACH P?;FLESSAS G?;GORRINGE V?)
45 NOT AU=(FLESSAS G?;LEACH P?)
(65;66) NOT AU=(COTSAKIS S?;FLESSAS G?)
67 NOT AU=(COTSAKIS S?;FLESSAS G?)
(49;50) NOT AU=(FLESSAS G?;LEACH P?;COTSAKIS S?)
69 NOT AU=(COTSAKIS S?;FLESSAS G?)
70 NOT AU=(COTSAKIS S?;FLESSAS G?)
52 NOT AU=(FLESSAS G?;GOVINDER K?;LEACH P?)
(71;72) NOT AU=(LEACH P?;COTSAKIS S?;FLESSAS G?)
73 NOT AU=(LEACH P?;COTSAKIS S?;FLESSAS G?)
(74;75) NOT AU=(COTSAKIS S?;FLESSAS G?;LEACH
3
L?)
(76;77) NOT AU=(ANDRIOPOULOS K?;LEACH P?;FLESSAS
G?)
100
19 78 NOT AU=(LEACH P?;FLESSAS G?)
101
2 53 NOT AU=(FLESSAS G?;LEACH P?;YANNACOPOULOS A?)
102
1 55 NOT AU=(FLESSAS G?;WHITEHEAD R?)
103
220
(2;3;4;5;7;8;9;10;11;14;15;17;19;20;21;22;23;26;27;29;30
;33;36;37;38;41;42;43;44;46;47;48;51;57) NOT
AU=(FLESSAS
G?)
104
425 2 TO 78
105
425 REFS WHERE 104
... 717 REFS in 425 Hits
106
351 79 TO 103
107
351 REFS WHERE 106
... 598 REFS in 351 Hits
108
86 105 AND RD>=01.01.05
109
86 REFS WHERE 108
... 111 REFS in 86 Hits
110
63 107 AND RD>=01.01.05
111
63 REFS WHERE 110
... 85 REFS in 63 Hits
112
1 RF=FLESSAS GP,1980,V78,P90
113
0 112 AND AU=FLESSAS ?
114
426 105;112
115
426 REFS WHERE 114
... 718 REFS in 426 Hits
116
221 103;112
117
352 106;112
118
352 REFS WHERE 117
... 599 REFS in 352 Hits
119
84 115 AND AU=(FLESSAS G?;SYROS C?;DAS KP;WATT
A?;BURTON
W?;WHITEHEAD R?;NAGARAJAN M?;ANAGNOSTATOS
G?;RIGAS
A?;LEACH P?;GORRINGE V?;COTSAKIS S?;GOVINGER
K?;QUERELLA
L?;ANDRIOPOULOS K?;YANNACOPOULOS A?)
120
84 REFS WHERE 119
... 159 REFS in 84 Hits
121
342 115 NOT 120
122
342 REFS WHERE 121
... 559 REFS in 342 Hits
123
35 115 AND RD>=12.06.08
124
35
125
126
24
24
127
129
130
131
132
133
134
135
136
137
1
1
1
2
1
1
1
4
428
428
138
139
354
354
140
141
344
344
142
143
26
26
144
145
20
20
*** END OF TAB ***
?
REFS WHERE 123
... 43 REFS in 35 Hits
118 AND RD>=12.06.08
REFS WHERE 125
... 30 REFS in 24 Hits
RF=FLESSAS C,1982,V15,PL97
RF=FIESSAS GP,1981,V83,P121
RF=FLEASES GP,1979,V72,P289
RF=FLEASES GP,1980,V78,P19
RF=FLEASES GP,1981,V14,P315
RF=FLEASES GP,1981,V83,P121
RF=FLEASES GP,1982,V15,PL97
127 TO 134
135;115
REFS WHERE 136
... 726 REFS in 428 Hits
118;127 TO 134
REFS WHERE 138
... 607 REFS in 354 Hits
137 NOT 120
REFS WHERE 140
... 567 REFS in 344 Hits
137 AND RD>=01.06.09
REFS WHERE 142
... 35 REFS in 26 Hits
139 AND RD>=01.06.09
REFS WHERE 144
... 27 REFS in 20 Hits