Lee K.K. Lectures on Dynamical Systems, Structural Stability and Their Applications
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c.
Robinson,
J.
Diff.
Eq.,
22
(1976)
28.
c.
Robinson,
Rocky
Mount.
J.
Math.,
7
(1977)
425.
c.
Robinson,
J.
Diff.
Eq.,
37
(1980)
1.
c.
Rogers
and
W.
F.
Shadwick,
Backlund
Transformations
and
Their
Applications,
Academic
Press,
1982.
R.
W.
Rollins
and
E.
R.
Hunt,
Phys.
Rev.
Lett.,
49
(1982)
1295.
R.
W.
Rollins
and
E. R.
Hunt,
Phys.
Rev.
A, 29
(1984)
3327.
s.
Rosenblat
and
D.
s.
Cohen,
Stud.
Appl.
Math.,
63
(1980)
1.
s.
Rosenblat
and
D.
s.
Cohen,
Stud.
Appl.
Math.,
64
(1981)
143.
H.
H.
Rosenbrock,
state-space
and
Multivariable
Theory,
Wiley,
1970.
o.
E.
Rossler,
Phys.
Lett.
A, 57
(1976)
397.
o.
E.
Rossler,
z.
Naturforsch.,
31A
(1976)
259.
o.
E.
Rossler
and
J.
L.
Hudson,
in
Symposium
on
Chemical
Applications
of
Topology
and
Graph
Theory,
Elsevier,
1983.
N.
Rouche,
P.
Habets,
and
M.
Laloy,
Stability
Theory
by
Liapunov•s
Direct
Method,
Springer-Verlag,
1977.
H.
L.
Royden,
Real
Analysis,
Macmillan,
1963.
v.
Roytburd,
J.
Diff.
Eqs.,
56
(1985)
40.
T.
E.
Rozzi
and
K. A.
Shore,
J.
Opt.
Soc.
Am.
B, 2
(1985)
237.
D.
Ruelle,
Physica
Scripta,
T9
(1985)
147.
D.
Ruelle,
Phys.
Rev.
Lett.,
56
(1986)
405.
D.
Ruelle,
J.
stat.
Phys.,
44
(1986)
281.
D.
Ruelle,
Proc.
R.
Soc.
A, 413
(1987)
5.
D.
Ruelle,
Elements
of
Differentiable
Dynamics
and
Bifurcation
Theory,
Academic
Press,
1989.
D.
Ruelle,
Chaotic
Evolution
and
strange
Attractors,
Cambridge
u.
Press,
1989.
D.
Ruelle
and
F.
Takens,
Commun.
Math.
Phys.,
20
(1971)
167.
H.
Russman,
Nachr.
Akad.
Wiss.
Gottingen
Math.
Phys.
Kl.,
**
(1970)
67.
434
J.
Sacher,
W.
Elsasser
and
E.
o.
Gobel,
Phys.
Rev.
Lett.,
63
(1989)
2224.
R. z.
Sagdeev,
Ed.,
Nonlinear
and
Turbulent
Processes
in
Physics,
3
Vols.,
Harwood
Academic,
1984.
F.
M.
A.
Salam,
SIAM
J.
Appl.
Math.,
47
(1987)
232.
L.
Salvadori,
Rend.
dell'
Accad.
Naz.
Lincei,
53
(1972)
35.
L.
M.
Sander,
Sci.
Am.,
256
(1987)
94.
J.
M.
Sanz-serna
and
F.
Vadillo,
SIAM
J.
Appl.
Math.,
47
(1987)
92.
R.
Saravanan,
o.
Narayan,
K.
Banerjee
and
J.
K.
Bhattacharjee,
Phys.
Rev.
A,
31
(1985)
520.
M.
Sargent,
IV,
M.
o.
Scully,
and
w.
Lamb,
Jr.,
Laser
Physics,
Addison-Wesley,
1974.
A.
N.
Sarkovskii,
Ukr.
Math.
J.,
16
(1964)
61.
I. I.
Satija,
Phys.
Rev.
Lett.,
58
(1987)
623.
D.
H.
sattinger,
Branching
in
the
Presence
of
symmetry,
Soc.
Ind.
Appl.
Math.,
1983.
P.
T.
Saunders,
An
Introduction
to
catastrophe
Theory,
Cambridge
u.
Press,
1980.
W.
Scharpf,
M.
Squicciarini,
D.
Bromley,
c.
Green,
J.
R.
Tredicce
and
L.
M.
Narducci,
Opt.
Communi.,
63
(1987)
344.
A.
Schenzle
and
H.
Brand,
Phys.
Rev.
A, 20
(1979)
1628.
R.
A.
Schimitz,
K.
R.
Graziani
and
J.
L.
Hudson,
J.
Chem.
Phys.,
67
(1977)
3040.
W.
A.
Schlup,
J.
Phys.
A,
11
(1978)
1871.
H.
J.
Scholz,
T.
Yamada, H.
Brand
and
R.
Graham,
Phys.
Lett.
A, 82
(1981)
321.
A.
Schremer,
T.
Fujita,
c.
F.
Lin
and
c.
L.
Tang,
Appl.
Phys.
Lett.,
52
(1988)
263.
P.
Schuster,
ed.,
Stochastic
Phenomena
and
Chaotic
Behaviour
in
Complex
Systems,
Springer-Verlag,
1984.
P.
Schuster,
K.
Sigmund
and
R.
Wolff,
J.
Diff.
Eqs.,
32
(1979)
357.
P.
Schuster,
K.
Sigmund
and
R.
Wolff,
J.
Math.
Analy.
Appl.,
78
(1980)
88.
I.
B.
Schwartz,
Phys.
Rev.
Lett.,
60
(1988)
1359.
435
J.
T.
Schwartz,
Differential
Geometry
and
Topology,
Gordon
&
Breach,
1968.
K.
Seeger,
Semiconductor
Physics,
Springer-Verlag,
1982.
G.
Seeley,
T.
Keyes
and
T.
Ohtsuki,
Phys.
Rev.
Lett.,
60
(1988)
290.
B.
Segard,
B.
Macke,
L.
A.
Lugiato,
F.
Prati
and
M.
Brambilla,
Phys.
Rev.
A,
39
(1989)
703.
P.
Seibert,
in
Nonlinear
Differential
Equations
and
Nonlinear
Mechanics,
ed.
by
J.
P.
LaSalle
and
s.
Lefschetz,
Academic
Press,
1963.
J.-P.
Serre,
Lie
Algebras
and
Lie
Groups,
Benjamin,
1965.
v.
M.
Shalaev
and
M.
I.
Stockman,
z.
Phys.
D,
10
(1988)
71.
F.
R.
Sharpe
and
A.
J.
Latka,
Phil.
Mag.,
21
(1911)
435.
T.
M.
Shay,
J.
D.
Dobbins
andY.
c.
Chung,
Top.
Meeting
on
Laser
and
Optical
Remote
Sensing,
Sept.
1987.
M.-L.
Shih
and
P.
w.
Milonni,
Opt.
Communi.,
49
(1984)
155.
I.
Shimada
and
T.
Nagashima,
Prog.
Theor.
Phys.,
59
(1978)
1033.
T.
Shimizu
and
N.
Morioka,
Phys.
Lett.
A,
66
(1978)
182.
K.
A.
Shore,
IEEE
J.-QE,
21
(1985)
1249.
K.
A.
Shore,
SPIE,
667
(1986)
109.
K.
A.
Shore,
IEE
Proc.,
134
(1987)
51.
K.
A.
Shore
and
M.
w.
McCall,
IEE
Proc.,
136
(1989)
14.
K.
A.
Shore
and
T.
E.
Rozzi,
IEEE
J.-QE,
20
(1984)
246.
M.
Shub,
Bull.
Am.
Math.
Soc.,
78
(1972)
817.
A.
Siegman,
Presentation
at
the
19th
Winter
Colloquium
on
Quantum
Electronics,
Snowbird,
Utah,
Jan.
1989.
K.
Sigmund
and
P.
Schuster,
in
stochastic
Phenomena
and
Chaotic
Behaviour
in
Complex
systems,
ed.
by
P.
Schuster,
Springer-Verlag,
1984.
L.
P.
Sil'nikov,
Sov.
Math.
Dokl.,
6
(1965)
163.
L.
P.
Sil'nikov,
Math.
Sb.
USSR,
10
(1970)
91.
I.
M.
Singer
and
J.
A.
Thorpe,
Lecture
Notes
on
Elementary
Topology
and
Geometry,
Scott
and
Foresman,
1967.
D.
Singer,
SIAM
J.
Appl.
Math,
35
(1978)
260.
L.
Sirovich
and
J.
D.
Rodriguez,
Phys.
Lett.
A,
120
(1987)
211.
436
F.
Skiff,
F.
Anderegg,
T.
N.
Good,
P.
J.
Paris,
M.
Q.
Tran,
N.
Rynn
and
R.
A.
Stern,
Phys.
Rev.
Lett.,
61
(1988)
2034.
s.
Smale,
Ann.
Math.,
74
(1961)
199.
s.
Smale,
Ann.
Scuola
Normale
Superiore
Pisa,
18
(1963)
97.
s.
Smale,
Bull.
Amer.
Math.
Soc.,
73
(1967)
747.
s.
Smale,
in
Dynamical
Systems,
ed.
by
M.
M.
Peixoto,
Academic
Press,
1973.
s.
Smale,
J.
Math.
Biol.,
3
(1976)
5.
L.
A.
Smith,
Phys.
Lett.
A,
133
(1988)
283.
J.
Smeller,
Shock
Waves
and
Reaction-Diffusion
Equations,
Springer-Verlag,
1983.
L.
Sneddon
and
K. A.
Cox,
Phys.
Rev.
Lett.,
58
(1987)
1903.
J.
so,
J.
Theor.
Biol.,
80
(1979)
185.
H.
Sompolinsky
and
A.
Crisanti,
Phys.
Rev.
Lett.,
61
(1988)
259.
E.
H.
Spanier,
Algebraic
Topology,
McGraw-Hill,
1966.
c.
Sparrow,
The
Lorenz
Equations:
Bifurcations,
Chaos,
and
Strange
Attractors,
Springer-Verlag,
1982.
c.
Sparrow,
in
Opticl
Instabilities,
ed.
by
R.
w.
Boyd,
M.
G.
Raymer
and
L.
M.
Narducci,
Cambridge
U.
Press,
1986.
D. c.
Spencer
and
s.
Iyanaga,
ed.,
Global
Analysis,
Princeton,
1969.
M.
Spivak,
Differential
Geometry,
5
vols,
Publish
or
Perish,
2nd
ed.,
1979.
N.
Sri
Namachchivaya
and
s.
T.
Ariaratnam,
SIAM
J.
Appl.
Math.,
47
(1987)
15.
W.-H.
Steeb,
J.
Phys.
A,
10
(1977)
L221.
N.
Steenrod,
The
Topology
of
Fibre
Bundles,
Princeton
Univ.
Press,
1951.
H.
Steinruck,
SIAM
J.
Appl.
Math.,
47
(1987)
1131.
J.
Stensby,
SIAM
J.
Appl.
Math.,
47
(1987)
1177.
s.
Sternberg,
Am.
J.
Math.,
79
(1957)
809.
s.
Sternberg,
Am.
J.
Math.,
80
(1958)
623.
I.
Stewart,
in
New
Directions
in
Dynamical
Systems,
ed.
by
T.
Bedford
and
J.
swift,
Cambridge
u.
Press,
1988.
E.
Stiefel,
Comment.
Math.
Helv.
17
(1944/5)
165.
437
D.
A.
Stone,
The
Exponential
Map
at
an
Isolated
Singular
Point,
Am.
Math.
soc.,
1982.
B.
Straughan,
R.
E.
Ewing,
P.
G.
Jacobs
and
M.
J.
Djomehri,
Numeri.
Meth.
Partial
Diff.
Eqs.,
3
(1987)
51.
w.
J.
Strange
and
D.
Shu,
Proc.
Roy.
Soc.
A,
418
(1988)
155.
c.
R.
Stroud,
Jr.,
K.
Koch
and
s.
Chakmakjian,
in
Optical
Instabilities,
ed.
by
R.
W.
Boyd,
M.
G.
Raymer
and
L.
M.
Narducci,
Cambridge
u.
Press,
1986.
J.
W.
Swift
and
K.
Wiesenfeld,
Phys.
Rev.
Lett.,
52
(1984)
705.
P.
Szepfalusy
and
T.
Tel,
Phys.
Rev.
A,
34
(1986)
2520.
M.
Tachikawa,
F.-L.
Hong,
K.
Tanii
and
T.
Shimizu,
Phys.
Rev.
Lett.,
60
(1988)
2266.
F.
Takens,
J.
Diff.
Eqs.,
14
(1973)
476.
A.
Tallet,
M.
Le
Berre
and
E.
Ressayre,
in
Optical
Bistability,
Instability,
and
Optical
Computing,
ed.
by
H.
Y.
Zhang
and
K. K.
Lee,
World
Sci.
Pub.,
1988.
w.
Y.
Tam,
J.
A.
Vastano,
H.
L.
swinney
and
W.
Horsthemke,
Phys.
Rev.
Lett.,
61
(1988)
2163.
c.
Tang
and
P.
Bak,
Phys.
Rev.
Lett.,
60
(1988)
2347.
c.
Tang,
K.
Wiesenfeld,
P.
Bak,
s.
Coppersmith
and
P.
Littlewood,
Phys.
Rev.
Lett.,
58
(1987)
1161.
M.
Tang
and
s.
Wang,
Appl.
Phys.
Lett.,
48
(1986)
900.
R.
Temam,
Navier-stokes
Equations
and
Nonlinear
Functional
Analysis,
SIAM,
1983.
J.
Testa,
J.
Perez
and
c.
Jeffries,
Phys.
Rev.
Lett.,
48
(1982)
714.
B.
Thedrez
and
J.
G.
Provost,
Opt.
Lett.,
14
(1989)
958.
R.
Them,
Stabilite
structurelle
et
Morphogenese,
Addison-Wesley,
1973.
J.
M.
T.
Thompson,
Phil.
Tran.
Roy.
Soc.
London
A,
292
(1979)
1.
J.
M.
T.
Thompson
and
R.
Ghaffari,
Phys.
Lett.
A,
91
(1982)
5.
J.
M.
T.
Thompson
and
H.
B.
Stewart,
Nonlinear
Dynamics
and
Chaos,
Wiley,
1986.
A.
Thorpe,
Elementary
Topics
in
Differential
Geometry,
438
Springer-Verlag,
1979.
A.
Thyagaraja,
Phys.
Fluids,
22
(1979)
2093.
R.
W.
Tkach
and
A.
R.
Chraplyvy,
Electron.
Lett.,
21
(1985)
1081.
K.
Tomita,
Phys.
Reports,
86
(1982)
113.
K.
Tomita
and
I.
Tsuda,
Phys.
Lett.,
71A
(1979)
489.
J.
R.
Tredicce,
N.
B.
Abraham,
G.
P.
Puccioni
and
F.
T.
Arecchi,
Opt.
Communi.,
55
(1985)
131.
J.
R.
Tredicce,
G.
L.
Lippi,
F.
T.
Arecchi
and
N.
B.
Abraham,
Phil.
Trans.
R.
Soc.
Lend.
A,
313
(1984)
411.
J.
R.
Tredicce,
L.
M.
Narducci,
D. K.
Bandy.
L.
A.
Lugiato
and
N.
B.
Abraham,
Opt.
Commun.,
56
(1986)
435.
J.
R.
Tredicce,
E.
J.
Quel,
A.
M.
Ghazzawi,
c.
Green,
M.
A.
Pernigo,
L.
M.
Narducci
and
L.
A.
Lugiato,
Phys.
Rev.
Lett.,
62
(1989)
1274.
J.
Treiber
and
R.
I.
Kitney,
Phys.
Lett.
A,
134
(1988)
108.
s.
Trillo,
s.
Wabnitz,
R.
H.
Stolen,
G.
Assante,
c.
T.
seaton
and
G.
I.
Stegeman,
Appl.
Phys.
Lett.,
49
(1986)
1224.
K. Y.
Tsang,
Phys.
Rev.
Lett.,
57
(1986)
1390.
s.
L.
Tucker
and
s.
o.
Zimmerman,
SIAM
J.
Appl.
Math.,
48
(1988)
549.
J.
s.
Turner,
J.
c.
Roux,
w.
D.
McCormick
and
H.
L.
swinney,
Phys.
Lett.,
85A
(1981)
9.
H.
Turschner,
Phys.
Lett.
A,
90
(1982)
385.
D. K.
Umberger,
J.
D.
Farmer
and
I.
I.
Satija,
Phys.
Lett.
A,
114
(1986)
341.
I.
Vaisman,
Cohomology
and
Differential
Forms,
Marcel
Dekker,
1973.
J.
F.
Valley,
H.
M.
Gibbs,
M.
W.
Derstine,
R.
Pon,
K.
Tay,
M.
LeBerre,
E.
Ressayre,
and
A.
Tallet,
in
Optical
Bistability
III,
ed.
by
H.
M.
Gibbs,
P.
Mandel,
N.
Peyghambarian
and
s.
D.
Smith,
Springer-Verlag,
1986.
R.
Van
Buskirk
and
c.
Jeffries,
Phys.
Rev.
A,
31
(1985)
3332.
439
M.
Varghese
and
J.
s.
Thorp,
Phys.
Rev.
Lett.,
60
(1988)
665.
c.
Vidal
and
A.
Pacault,
ed.,
Non-Equilibrium
Dynamics
in
Chemical
Systems,
Springer-Verlag,
1984.
s.
Wabnitz,
Phys.
Rev.
Lett.,
58
(1987)
1415.
s.
Wabnitz
and
G.
Gregori,
Opt.
Communi.,
59
(1986)
72.
R.
w.
Walden
and
G.
Ahlers,
Phys.
Rev.
Lett.,
44
(1980)
445.
c.
T.
c.
Wall,
Surgery
on
Compact
Manifolds,
Academic
Press,
1970.
A.
H.
Wallace,
An
Introduction
to
Algebraic
Topology,
Pergamon
Press,
1957.
A.
H.
Wallace,
Differential
Topology.
First
step,
Benjamin,
1968.
P.-Y.
Wang,
J.-H.
Dai
and
H.-J.
Zhang,
Acta
Phys.
Sinica,
(1985)
581.
P.-Y.
Wang,
H.-J.
Zhang
and
J.-H.
Dai,
Acta
Phys.
Sinica,
(1985)
1233.
F.
w.
Warner,
Foundations
of
Differentiable
Manifolds
and
Lie
Groups,
Scott
Foresman,
1971.
G.
Wasserman,
Stability
of
Unfoldings,
Springer-Verlag,
1974.
T.
Wazewski,
Ann.
Soc.
Polonaise
Math.,
23
(1950)
112.
E.
Weinstock
and
c.
Rorres,
SIAM
J.
Appl.
Math.,
47
(1987)
589.
34
34
c. o.
Weiss,
N.
B.
Abraham
and
U.
Hubner,
Phys.
Rev.
Lett.,
61
(1988)
1587.
c.
o.
Weiss
and
J.
Brock,
Phys.
Rev.
Lett.,
57
(1986)
2804.
c.
o.
Weiss
and
w.
Klische,
Opt.
Communi.,
51
(1984)
47.
c. o.
Weiss,
W.
Klische,
P.
s.
Ering
and
M.
Cooper,
Opt.
Communi.,
52
(1985)
405.
s.
Weiss
and
B.
Fischer,
Opt.
Lett.,
14
(1989)
1213.
J.
E.
Wesfreid
and
s.
Zaleski,
Cellular
structures
in
Instabilities,
Springer-Verlag,
1984.
J.
H.
Westcott,
Proc.
Roy.
Soc.
London
A,
407
(1986)
89.
D.
Whitley,
Bull.
Lond.
Math.
Soc.,
15
(1983)
177.
H.
Whitney,
Duke
Math.
J.
1
(1935)
514.
440
H.
Whitney,
Ann.
of
Math.
37
(1936)
645.
H.
Whitney,
Ann.
of
Math.
45
(1944)
220;
247.
K.
Wiesenfeld,
J.
stat.
Phys.,
38
(1985)
1071.
K.
Wiesenfeld
and
P.
Hadley,
Phys.
Rev.
Lett.,
62
(1989)
1335.
K.
Wiesenfeld,
E.
Knobloch,
R.
F.
Miracky
and
J.
Clarke,
Phys.
Rev.
A,
29
(1984)
2102.
K.
Wiesenfeld
and
I.
Satija,
Phys.
Rev.
B,
36
(1987)
2483.
S.
Wiggins,
SIAM
J.
Appl.
Math.,
48
(1988)
262.
J.
L.
Willems,
Stability
Theory
of
Dynamical
Systems,
Wiley,
1970.
R.
F.
Williams,
in
Global
Analysis,
ed.
by
s.
s.
Chern
and
s.
Smale,
1970.
R.
F.
Williams,
Expanding
Attractors,
(1971)
169.
R.
F.
Williams,
Pub.
Math.
IHES,
50
(1980)
59.
R.
F.
Williams,
Ergod.
Th.
Dynam.
Sys.,
4
(1983)
147.
c.
R.
Willis,
in
Coherence
and
Quantum
Optics
IV,
ed.
by
L.
Mandel
and
E.
Wolf,
Plenum,
1978.
T.
J.
Willmore,
An
Introduction
to
Differential
Geometry,
Oxford
Univ.
Press,
1959.
H.
G.
Winful,
Opt.
Lett.,
11
(1986)
33.
D.
Wintgen,
Phys.
Rev.
Lett.,
58
(1987)
1589.
D.
Wolf,
ed.,
Noise
in
Physical
systems,
Springer-Verlag,
1978.
W.
A.
Wolovich,
Linear
Multivariable
Systems,
Springer-Verlag,
1974.
T.
Q.
Wu
and
c.
o.
Weiss,
Opt.
Communi.,
61
(1987)
337.
x.-G.
Wu
and
P.
Mandel,
J.
Opt.
Soc.
Am.
B,
3
(1986)
724.
E.
Yablonovitch,
Phys.
Rev.
Lett.,
58
(1987)
2059.
v.
A.
Yacuborich,
Dokl.
Akad.
Nauk.
SSSR,
143
(1962)
1304.
s.
Yamaguchi
and
M.
suzuki,
IEEE
J.
QE,
19
(1983)
1514.
Y.
Yamaguchi
and
K.
Sakai,
Phys.
Lett.
A,
131
(1988)
499.
K.
Yano
and
s.
Ishihara,
Tangent
and
Cotangent
Bundles,
Marcel
Dekker,
1973.
Y.
Yao,
Phys.
Lett.
A,
118
(1986)
59.
T.
Yazaki,
s.
Takashima
and
F.
Mizutani,
Phys.
Rev.
Lett.,
441
58
(1987)
1108.
W.
J.
Yeh
andY.
H.
Kao,
Phys.
Rev.
Lett.,
49
(1982)
1888.
T.
H.
Yoon,
C.-H.
Lee
and
S.-Y.
Shin,
IEEE
J-QE,
25
(1989)
1993.
G.
w.
Young
and
s.
H.
Davis,
SIAM
J.
Appl.
Math.,
49
(1989)
152.
T.
Yoshizawa,
Stability
Theory
by
Liapunov•s
Second
Method,
Math.
Soc.
of
Japan,
1966.
P.
Yu
and
K.
Huseyin,
SIAM
J.
Appl.
Math.,
48
(1988)
229.
J.-M.
Yuan,
in
Directions
in
Chaos,
Vol.
1,
ed.
by
B.-L.
Hac,
World
Sci.
Pub.,
1987.
J.-M.
Yuan,
M.
Tung,
D. H.
Feng
and
L.
M.
Narducci,
Phys.
Rev.
A,
28
(1983)
1662.
J.
Yumoto
and
K.
Otsuka,
Phys.
Rev.
Lett.,
54
(1985)
1806.
A.
Zardecki,
Phys.
Lett.
A,
90
(1982)
274.
E.
c.
Zeeman,
in
P.
Hilton
1976.
E.
c.
Zeeman,
in
New
directions
in
Applied
Mathematics,
ed.
by
P.
J.
Hilton
and
G.
s.
Young,
Springer-Verlag,
1981.
E.
c.
Zeeman,
Nonlinearity,
1
(1988)
115.
H.
Zeghlache
and
P.
Mandel,
J.
Opt.
Soc.
Am.
B,
2
(1985)
18.
H.
Zeghlache
and
P.
Mandel,
Phys.
Rev.
A,
37
(1988)
470.
H.
Zeghlache,
P.
Mandel,
N.
B.
Abraham
and
c.
o.
Weiss,
Phys.
Rev.
A,
38
(1988)
3128.
w.-z.
Zeng
and
B.-L.
Hao,
Chinese
Phys.
Lett.,
3
(1986)
285.
L.A.
Zenteno,
K.
E.
Aldous
and
G.
H.
c.
New,
J.
Mod.
Opt.,
35
(1988)
1281.
H.-Y.
Zhang
and
K. K.
Lee,
Optical
Bistability,
Instability,
and
Optical
Computing,
World
Scientific
Pub.,
1988.
J.-Y.
Zhang,
H.
Haken
and
H.
Ohno,
J.
Opt.
Soc.
Am.
B,
2
(1985)
141.
Y.-c.
Zhang,
Phys.
Rev.
Lett.,
59
(1987)
2125.
B.
Zhou,
T.
J.
Kane,
G.
J.
Dixon,
and
R.
L.
Byer,
Opt.
Lett.,
10
(1985)
62.
442
1-boundary,
41
1-chain,
40
1-cycle,
41
a-limit
cycle,
159
a-limit
set,
157
a-set,
157
E-equivalent,
315
E-stable,
315
n-conjugacy,
165
n-conjugate,
165
n-decomposition,
261
n-equivalence,
165
n-limit
cycle,
159
n-limit
set,
157
n-set,
157
Accumulation
point,
31
Abelian,
26
Index
Absolutely
c
1
-structually
stable,
262
Admissible,
143
Almost
periodic,
238
Analytic,
75
Analytic
index
of
a
linear
differential
operator
P,
133,
142'
144
Analytic
manifold,
48
Anosov,
260
Arcwise
connected,
37
Asymptotic
stibility,
203
Asymptotically
controllable,
380
Asymptotically
stable,
192,
200,
202,
233
Asymptotically
stable
relative
to
U,
236
Attracted,
202
Attractive,
201
Attractor,
202,
233
443