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Advanced Series in Nonlinear Dynamics

Short Title: Adv. Ser. Nonlinear Dyn.
Publisher: World Scientific, Hackensack, NJ
ISSN: 1793-1045
Online: http://www.worldscientific.com/series/asnd
Comments: Book series; Indexed cover-to-cover
Documents Indexed: 31 Publications (since 1991)

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 1,048 times in 1,036 Documents Cited by Year
Positive transfer operators and decay of correlations. Zbl 1012.37015
Baladi, Viviane
192
2000
Combinatorial dynamics and entropy in dimension one. 2nd ed. Zbl 0963.37001
Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał
121
2000
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
108
2001
Methods in equivariant bifurcations and dynamical systems. Zbl 0968.37001
Chossat, Pascal; Lauterbach, Reiner
85
2000
Combinatorial dynamics and entropy in dimension one. Zbl 0843.58034
Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał
76
1993
Renormalisation in area-preserving maps. Zbl 0791.58002
MacKay, R. S.
69
1993
Topics in bifurcation theory and applications. 2nd ed. Zbl 0968.34027
Iooss, G.; Adelmeyer, M.
66
1998
Rayleigh-Bénard convection: Structures and dynamics. Zbl 0910.76001
Getling, A. V.
62
1998
The mathematical theory of permanent progressive water-wave. Zbl 0983.76002
Okamoto, Hisashi; Shōji, Mayumi
59
2001
Symplectic twist maps. Global variational techniques. Zbl 1330.37001
Golé, Christophe
35
2001
Topics in bifurcation theory and applications. Zbl 0833.34001
Iooss, Gérard; Adelmeyer, Moritz
35
1992
Geometry of nonholonomically constrained systems. Zbl 1190.37002
Cushman, Richard; Duistermaat, Hans; Śniatycki, Jȩdrzej
29
2010
Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics. Zbl 1127.82002
Klages, Rainer
19
2007
Renormalization and geometry in one-dimensional and complex dynamics. Zbl 0864.58018
Jiang, Yunping
17
1996
Localization and solitary waves in solid mechanics. Zbl 0949.00014
13
1999
Time reversibility, computer simulation, and chaos. Zbl 1051.37507
Hoover, William Graham
12
1999
Spatio-temporal chaos and vacuum fluctuations of quantized fields. Zbl 1066.81621
Beck, Christian
11
2002
Topics in nonlinear time series analysis. With implications for EEG analysis. Zbl 0958.92021
Galka, Andreas
9
2000
Smooth dynamical systems. Reprint of the 1980 original. Zbl 1058.37001
Irwin, M. C.
9
2001
Smooth particle applied mechanics. The state of the art. Zbl 1141.76001
Hoover, William Graham
6
2006
Simulation and control of chaotic nonequilibrium systems. With a foreword by Julien Clinton Sprott. Zbl 1327.80001
Hoover, William Graham; Hoover, Carol Griswold
4
2015
Time reversibility, computer simulation, algorithms, chaos. 2nd expanded ed. Zbl 1263.82001
Hoover, William Graham; Griswold Hoover, Carol
3
2012
Geometrical theory of dynamical systems and fluid flows. Zbl 1065.37001
Kambe, Tsutomu
3
2004
Energy localisation and transfer. Selected lecture notes based on the presentation at the training school ‘Energy localisation and transfers in crystal, biomolecules and Josephson arrays’, Les Houches, France, January 27 – February 1, 2003. Zbl 1076.82001
2
2004
Geometrical theory of dynamical systems and fluid flows. Revised ed. Zbl 1201.37108
Kambe, Tsutomu
2
2010
Mathematical problems of statistical mechanics. Collection of papers. Zbl 0728.00021
1
1991
Simulation and control of chaotic nonequilibrium systems. With a foreword by Julien Clinton Sprott. Zbl 1327.80001
Hoover, William Graham; Hoover, Carol Griswold
4
2015
Time reversibility, computer simulation, algorithms, chaos. 2nd expanded ed. Zbl 1263.82001
Hoover, William Graham; Griswold Hoover, Carol
3
2012
Geometry of nonholonomically constrained systems. Zbl 1190.37002
Cushman, Richard; Duistermaat, Hans; Śniatycki, Jȩdrzej
29
2010
Geometrical theory of dynamical systems and fluid flows. Revised ed. Zbl 1201.37108
Kambe, Tsutomu
2
2010
Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics. Zbl 1127.82002
Klages, Rainer
19
2007
Smooth particle applied mechanics. The state of the art. Zbl 1141.76001
Hoover, William Graham
6
2006
Geometrical theory of dynamical systems and fluid flows. Zbl 1065.37001
Kambe, Tsutomu
3
2004
Energy localisation and transfer. Selected lecture notes based on the presentation at the training school ‘Energy localisation and transfers in crystal, biomolecules and Josephson arrays’, Les Houches, France, January 27 – February 1, 2003. Zbl 1076.82001
2
2004
Spatio-temporal chaos and vacuum fluctuations of quantized fields. Zbl 1066.81621
Beck, Christian
11
2002
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
108
2001
The mathematical theory of permanent progressive water-wave. Zbl 0983.76002
Okamoto, Hisashi; Shōji, Mayumi
59
2001
Symplectic twist maps. Global variational techniques. Zbl 1330.37001
Golé, Christophe
35
2001
Smooth dynamical systems. Reprint of the 1980 original. Zbl 1058.37001
Irwin, M. C.
9
2001
Positive transfer operators and decay of correlations. Zbl 1012.37015
Baladi, Viviane
192
2000
Combinatorial dynamics and entropy in dimension one. 2nd ed. Zbl 0963.37001
Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał
121
2000
Methods in equivariant bifurcations and dynamical systems. Zbl 0968.37001
Chossat, Pascal; Lauterbach, Reiner
85
2000
Topics in nonlinear time series analysis. With implications for EEG analysis. Zbl 0958.92021
Galka, Andreas
9
2000
Localization and solitary waves in solid mechanics. Zbl 0949.00014
13
1999
Time reversibility, computer simulation, and chaos. Zbl 1051.37507
Hoover, William Graham
12
1999
Topics in bifurcation theory and applications. 2nd ed. Zbl 0968.34027
Iooss, G.; Adelmeyer, M.
66
1998
Rayleigh-Bénard convection: Structures and dynamics. Zbl 0910.76001
Getling, A. V.
62
1998
Renormalization and geometry in one-dimensional and complex dynamics. Zbl 0864.58018
Jiang, Yunping
17
1996
Combinatorial dynamics and entropy in dimension one. Zbl 0843.58034
Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał
76
1993
Renormalisation in area-preserving maps. Zbl 0791.58002
MacKay, R. S.
69
1993
Topics in bifurcation theory and applications. Zbl 0833.34001
Iooss, Gérard; Adelmeyer, Moritz
35
1992
Mathematical problems of statistical mechanics. Collection of papers. Zbl 0728.00021
1
1991
all top 5

Cited by 1,354 Authors

26 Llibre, Jaume
21 Cánovas, Jose S.
15 Alsedà, Lluís
14 Il’ichev, Andreĭ Teĭmurazovich
13 Blokh, Alexander M.
13 Misiurewicz, Michał
11 Andres, Jan
11 Jiang, Yunping
11 MacKay, Robert Sinclair
11 Meiss, James D.
10 de la Llave, Rafael
9 Chossat, Pascal
9 Guha, Partha
9 Jørgensen, Palle E. T.
9 Linero Bas, Antonio
8 Dutkay, Dorin Ervin
8 Ghose Choudhury, Anindya
8 Pawlak, Ryszard Jerzy
7 Constantin, Adrian
7 Fassò, Francesco
7 Guo, Shangjiang
7 Lucarini, Valerio
7 Marques, Francisco
7 Oprocha, Piotr
7 Sansonetto, Nicola
6 Balseiro, Paula
6 Demina, Maria V.
6 Ehrnström, Mats
6 Gaeta, Giuseppe
6 Iooss, Gérard
6 Li, Wenlei
6 Liverani, Carlangelo
6 López, Juan Manuel
6 Munoz Guillermo, Maria
6 Shi, Shaoyun
6 Snoha, Ľubomír
5 Bahsoun, Wael
5 Balibrea, Francisco
5 Bandtlow, Oscar F.
5 Deng, Shengfu
5 Dutykh, Denys
5 Faugeras, Olivier D.
5 García-Naranjo, Luis C.
5 Juher, David
5 Lopes, Artur Oscar
5 Mai, Jiehua
5 Ruette, Sylvie
5 Valls Anglés, Cláudia
5 Ye, Yuanling
4 Algaba, Antonio
4 Amigó, José María
4 Aziz, Waleed
4 Beck, Christian
4 Bobok, Jozef
4 Budanur, Nazmi Burak
4 Castro, Armando
4 Chèze, Guillaume
4 Clamond, Didier
4 Coman, Ciprian D.
4 Dewar, Robert L.
4 Esen, Oğul
4 Faye, Grégory
4 Froyland, Gary
4 Giné, Jaume
4 Koch, Hans-Friedrich
4 Lopes Dias, João
4 Manoel, Miriam
4 Mañosas, Francesc
4 Matioc, Bogdan-Vasile
4 Naud, Frédéric
4 Nicol, Matthew
4 Pinto, Alberto Adrego
4 Podvigina, Ol’ga Mikhaĭlovna
4 Qin, Wenxin
4 Rivera-Letelier, Juan
4 Roth, Samuel
4 Rousseau, Jérôme
4 Shao, Song
4 Sire, Yannick
4 Sirvent, Víctor F.
4 Strauss, Walter Alexander
4 Touzé, Cyril
4 Vallée, Brigitte
4 Veltz, Romain
4 Wang, Yanan
3 Arnaud, Marie-Claude
3 Baladi, Viviane
3 Bernhardt, Chris
3 Beyn, Wolf-Jürgen
3 Boyland, Philip L.
3 Bruin, Henk
3 Chien, Cheng-Sheng
3 Cioletti, Leandro Martins
3 Dai, Jia-Yuan
3 Demers, Mark F.
3 Dias, Frédéric
3 Duran, Angel
3 El Naschie, Mohamed Saladin
3 Eskandari, Zohreh
3 Falcó, Antonio
...and 1,254 more Authors
all top 5

Cited in 263 Journals

70 Physica D
36 Chaos, Solitons and Fractals
33 Communications in Mathematical Physics
29 Journal of Differential Equations
29 Topology and its Applications
27 Journal of Statistical Physics
26 Transactions of the American Mathematical Society
24 Discrete and Continuous Dynamical Systems
22 Proceedings of the American Mathematical Society
21 Journal of Mathematical Analysis and Applications
21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
21 Communications in Nonlinear Science and Numerical Simulation
19 Ergodic Theory and Dynamical Systems
17 Physics Letters. A
16 Journal of Fluid Mechanics
16 Journal of Nonlinear Science
16 Chaos
15 Journal of Mathematical Physics
15 Nonlinearity
12 Archive for Rational Mechanics and Analysis
11 Regular and Chaotic Dynamics
10 Applied Mathematics and Computation
10 Qualitative Theory of Dynamical Systems
10 Dynamical Systems
9 Wave Motion
9 Advances in Mathematics
9 Journal of Dynamics and Differential Equations
9 Journal of Difference Equations and Applications
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Journal of Nonlinear Mathematical Physics
7 Annales de l’Institut Fourier
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 SIAM Journal on Mathematical Analysis
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Symbolic Computation
6 Nonlinear Dynamics
6 Discrete and Continuous Dynamical Systems. Series B
5 Physica A
5 Journal of Functional Analysis
5 Acta Applicandae Mathematicae
5 Physics of Fluids
5 European Journal of Mechanics. B. Fluids
5 Nonlinear Analysis. Real World Applications
5 Stochastics and Dynamics
5 SIAM Journal on Applied Dynamical Systems
4 Fluid Dynamics
4 Israel Journal of Mathematics
4 Physics Reports
4 Inventiones Mathematicae
4 Applied Mathematics Letters
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Journal of Geometric Mechanics
4 Science China. Mathematics
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Computer Physics Communications
3 International Journal of Heat and Mass Transfer
3 Journal of Computational Physics
3 Journal of Mathematical Biology
3 Letters in Mathematical Physics
3 Reports on Mathematical Physics
3 Mathematics of Computation
3 Journal of Geometry and Physics
3 Fuzzy Sets and Systems
3 Journal of Computational and Applied Mathematics
3 Japan Journal of Industrial and Applied Mathematics
3 Applied Mathematical Modelling
3 Journal of Mathematical Sciences (New York)
3 Computational and Applied Mathematics
3 Conformal Geometry and Dynamics
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Acta Mathematica Sinica. English Series
3 Annales Henri Poincaré
3 International Journal of Geometric Methods in Modern Physics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Computational Dynamics
3 Arnold Mathematical Journal
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Computers and Fluids
2 Computers & Mathematics with Applications
2 Communications on Pure and Applied Mathematics
2 International Journal of Engineering Science
2 Journal of Engineering Mathematics
2 Journal of the Mechanics and Physics of Solids
2 Physics Letters. B
2 Theoretical and Mathematical Physics
2 Ukrainian Mathematical Journal
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Theoretical and Computational Fluid Dynamics
2 Prikladnaya Matematika i Mekhanika
2 The Annals of Statistics
2 BIT
2 Czechoslovak Mathematical Journal
2 Duke Mathematical Journal
2 Integral Equations and Operator Theory
2 International Journal for Numerical Methods in Engineering
2 Journal of Applied Probability
2 Journal of Economic Theory
...and 163 more Journals
all top 5

Cited in 59 Fields

626 Dynamical systems and ergodic theory (37-XX)
168 Fluid mechanics (76-XX)
164 Ordinary differential equations (34-XX)
159 Partial differential equations (35-XX)
90 Mechanics of particles and systems (70-XX)
69 Statistical mechanics, structure of matter (82-XX)
56 General topology (54-XX)
51 Probability theory and stochastic processes (60-XX)
43 Numerical analysis (65-XX)
38 Operator theory (47-XX)
34 Biology and other natural sciences (92-XX)
32 Mechanics of deformable solids (74-XX)
30 Measure and integration (28-XX)
24 Global analysis, analysis on manifolds (58-XX)
23 Computer science (68-XX)
22 Number theory (11-XX)
22 Quantum theory (81-XX)
21 Differential geometry (53-XX)
18 Classical thermodynamics, heat transfer (80-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Real functions (26-XX)
15 Difference and functional equations (39-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Geophysics (86-XX)
13 Commutative algebra (13-XX)
12 Functional analysis (46-XX)
11 Statistics (62-XX)
11 Relativity and gravitational theory (83-XX)
10 Topological groups, Lie groups (22-XX)
10 Functions of a complex variable (30-XX)
9 Information and communication theory, circuits (94-XX)
8 Manifolds and cell complexes (57-XX)
8 Systems theory; control (93-XX)
7 Group theory and generalizations (20-XX)
6 Integral equations (45-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Optics, electromagnetic theory (78-XX)
5 Combinatorics (05-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Algebraic topology (55-XX)
5 Astronomy and astrophysics (85-XX)
4 Mathematical logic and foundations (03-XX)
4 Algebraic geometry (14-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Nonassociative rings and algebras (17-XX)
3 Category theory; homological algebra (18-XX)
3 Potential theory (31-XX)
3 Approximations and expansions (41-XX)
2 General and overarching topics; collections (00-XX)
2 Special functions (33-XX)
2 Convex and discrete geometry (52-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year