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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 1,298 times in 1,279 Documents Cited by Year
Positive transfer operators and decay of correlations. Zbl 1012.37015
Baladi, Viviane
236
2000
Integrability and nonintegrability of dynamical systems. Zbl 1002.34001
Goriely, Alain
142
2001
Combinatorial dynamics and entropy in dimension one. 2nd ed. Zbl 0963.37001
Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał
142
2000
Methods in equivariant bifurcations and dynamical systems. Zbl 0968.37001
Chossat, Pascal; Lauterbach, Reiner
100
2000
Rayleigh-Bénard convection: Structures and dynamics. Zbl 0910.76001
Getling, A. V.
93
1998
Combinatorial dynamics and entropy in dimension one. Zbl 0843.58034
Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał
87
1993
Renormalisation in area-preserving maps. Zbl 0791.58002
MacKay, R. S.
85
1993
Topics in bifurcation theory and applications. 2nd ed. Zbl 0968.34027
Iooss, G.; Adelmeyer, M.
70
1998
The mathematical theory of permanent progressive water-wave. Zbl 0983.76002
Okamoto, Hisashi; Shōji, Mayumi
69
2001
Symplectic twist maps. Global variational techniques. Zbl 1330.37001
Golé, Christophe
53
2001
Topics in bifurcation theory and applications. Zbl 0833.34001
Iooss, Gérard; Adelmeyer, Moritz
39
1992
Geometry of nonholonomically constrained systems. Zbl 1190.37002
Cushman, Richard; Duistermaat, Hans; Śniatycki, Jȩdrzej
35
2010
Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics. Zbl 1127.82002
Klages, Rainer
27
2007
Renormalization and geometry in one-dimensional and complex dynamics. Zbl 0864.58018
Jiang, Yunping
22
1996
Smooth dynamical systems. Reprint of the 1980 original. Zbl 1058.37001
Irwin, M. C.
15
2001
Time reversibility, computer simulation, and chaos. Zbl 1051.37507
Hoover, William Graham
14
1999
Localization and solitary waves in solid mechanics. Zbl 0949.00014
14
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
10
2000
Time reversibility, computer simulation, algorithms, chaos. 2nd expanded ed. Zbl 1263.82001
Hoover, William Graham; Griswold Hoover, Carol
9
2012
Smooth particle applied mechanics. The state of the art. Zbl 1141.76001
Hoover, William Graham
7
2006
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
6
2004
Simulation and control of chaotic nonequilibrium systems. With a foreword by Julien Clinton Sprott. Zbl 1327.80001
Hoover, William Graham; Hoover, Carol Griswold
6
2015
Geometrical theory of dynamical systems and fluid flows. Zbl 1065.37001
Kambe, Tsutomu
3
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
6
2015
Time reversibility, computer simulation, algorithms, chaos. 2nd expanded ed. Zbl 1263.82001
Hoover, William Graham; Griswold Hoover, Carol
9
2012
Geometry of nonholonomically constrained systems. Zbl 1190.37002
Cushman, Richard; Duistermaat, Hans; Śniatycki, Jȩdrzej
35
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
27
2007
Smooth particle applied mechanics. The state of the art. Zbl 1141.76001
Hoover, William Graham
7
2006
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
6
2004
Geometrical theory of dynamical systems and fluid flows. Zbl 1065.37001
Kambe, Tsutomu
3
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
142
2001
The mathematical theory of permanent progressive water-wave. Zbl 0983.76002
Okamoto, Hisashi; Shōji, Mayumi
69
2001
Symplectic twist maps. Global variational techniques. Zbl 1330.37001
Golé, Christophe
53
2001
Smooth dynamical systems. Reprint of the 1980 original. Zbl 1058.37001
Irwin, M. C.
15
2001
Positive transfer operators and decay of correlations. Zbl 1012.37015
Baladi, Viviane
236
2000
Combinatorial dynamics and entropy in dimension one. 2nd ed. Zbl 0963.37001
Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał
142
2000
Methods in equivariant bifurcations and dynamical systems. Zbl 0968.37001
Chossat, Pascal; Lauterbach, Reiner
100
2000
Topics in nonlinear time series analysis. With implications for EEG analysis. Zbl 0958.92021
Galka, Andreas
10
2000
Time reversibility, computer simulation, and chaos. Zbl 1051.37507
Hoover, William Graham
14
1999
Localization and solitary waves in solid mechanics. Zbl 0949.00014
14
1999
Rayleigh-Bénard convection: Structures and dynamics. Zbl 0910.76001
Getling, A. V.
93
1998
Topics in bifurcation theory and applications. 2nd ed. Zbl 0968.34027
Iooss, G.; Adelmeyer, M.
70
1998
Renormalization and geometry in one-dimensional and complex dynamics. Zbl 0864.58018
Jiang, Yunping
22
1996
Combinatorial dynamics and entropy in dimension one. Zbl 0843.58034
Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał
87
1993
Renormalisation in area-preserving maps. Zbl 0791.58002
MacKay, R. S.
85
1993
Topics in bifurcation theory and applications. Zbl 0833.34001
Iooss, Gérard; Adelmeyer, Moritz
39
1992
Mathematical problems of statistical mechanics. Collection of papers. Zbl 0728.00021
1
1991
all top 5

Cited by 1,673 Authors

30 Llibre, Jaume
27 Cánovas, Jose S.
16 Alsedà, Lluís
15 Il’ichev, Andreĭ Teĭmurazovich
15 Misiurewicz, Michał
14 Blokh, Alexander M.
14 MacKay, Robert Sinclair
13 Jiang, Yunping
12 Meiss, James D.
11 Andres, Jan
11 de la Llave, Rafael
10 Chossat, Pascal
10 Jørgensen, Palle E. T.
10 Linero Bas, Antonio
10 Pawlak, Ryszard Jerzy
9 Dutkay, Dorin Ervin
9 Guha, Partha
9 Lucarini, Valerio
9 Oprocha, Piotr
9 Sansonetto, Nicola
8 Constantin, Adrian
8 Fassò, Francesco
8 Ghose Choudhury, Anindya
8 Shi, Shaoyun
7 Arnaud, Marie-Claude
7 Balseiro, Paula
7 Ehrnström, Mats
7 Guo, Shangjiang
7 Hervé, Loïc
7 Marques, Francisco
7 Munoz Guillermo, Maria
7 Ye, Yuanling
6 Bandtlow, Oscar F.
6 Demina, Maria V.
6 Gaeta, Giuseppe
6 Giné, Jaume
6 Iooss, Gérard
6 Li, Wenlei
6 Liverani, Carlangelo
6 Lopes, Artur Oscar
6 López, Juan Manuel
6 Matioc, Bogdan-Vasile
6 Qin, Wenxin
6 Simó, Carles
6 Snoha, Ľubomír
6 Valls Anglés, Cláudia
5 Algaba, Antonio
5 Bahsoun, Wael
5 Balibrea, Francisco
5 Budanur, Nazmi Burak
5 Chèze, Guillaume
5 Clamond, Didier
5 Coman, Ciprian D.
5 Demers, Mark F.
5 Deng, Shengfu
5 Dutykh, Denys
5 Faugeras, Olivier D.
5 García-Naranjo, Luis C.
5 Giannakis, Dimitrios
5 Huang, Kaiyin
5 Juher, David
5 Koch, Hans-Friedrich
5 Lopes Dias, João
5 Mai, Jiehua
5 Mañosas, Francesc
5 McLaren, David I.
5 Podvigina, Ol’ga Mikhaĭlovna
5 Quispel, Gilles Reinout Willem
5 Ruette, Sylvie
5 Siddheshwar, Pradeep G.
5 Sire, Yannick
5 Sirvent, Víctor F.
5 Strauss, Walter Alexander
5 Touzé, Cyril
4 Amigó, José María
4 Beck, Christian
4 Bobok, Jozef
4 Calleja, Renato C.
4 Castro, Armando
4 Cioletti, Leandro Martins
4 Dewar, Robert L.
4 Esen, Oğul
4 Faye, Grégory
4 Froyland, Gary
4 Gallavotti, Giovanni M.
4 García Guirao, Juan Luis
4 Healey, Timothy J.
4 James, Guillaume
4 Just, Wolfram
4 Loranty, Anna
4 Luque, Alejandro
4 Manoel, Miriam
4 Matioc, Anca-Voichita
4 Nakano, Yushi
4 Naud, Frédéric
4 Nicol, Matthew
4 Pinto, Alberto Adrego
4 Ramshaw, John D.
4 Rivera-Letelier, Juan
4 Roth, Samuel
...and 1,573 more Authors
all top 5

Cited in 297 Journals

83 Physica D
41 Communications in Mathematical Physics
40 Chaos, Solitons and Fractals
32 Journal of Differential Equations
32 Topology and its Applications
32 Discrete and Continuous Dynamical Systems
31 Communications in Nonlinear Science and Numerical Simulation
29 Nonlinearity
27 Journal of Statistical Physics
27 Transactions of the American Mathematical Society
26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
25 Ergodic Theory and Dynamical Systems
23 Journal of Mathematical Analysis and Applications
22 Proceedings of the American Mathematical Society
19 Journal of Mathematical Physics
19 Chaos
18 Journal of Fluid Mechanics
18 Journal of Nonlinear Science
17 Physics Letters. A
15 Journal of Physics A: Mathematical and Theoretical
14 Archive for Rational Mechanics and Analysis
14 Regular and Chaotic Dynamics
12 Advances in Mathematics
12 Qualitative Theory of Dynamical Systems
12 Dynamical Systems
11 Journal of Difference Equations and Applications
10 Applied Mathematics and Computation
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Journal of Dynamics and Differential Equations
9 Wave Motion
9 SIAM Journal on Mathematical Analysis
9 Discrete and Continuous Dynamical Systems. Series B
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Nonlinear Mathematical Physics
8 Nonlinear Analysis. Real World Applications
8 SIAM Journal on Applied Dynamical Systems
7 Annales de l’Institut Fourier
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Physica A
6 Journal of Geometry and Physics
6 Journal of Symbolic Computation
6 Nonlinear Dynamics
6 European Journal of Mechanics. B. Fluids
5 Israel Journal of Mathematics
5 Physics Reports
5 Journal of Functional Analysis
5 Monatshefte für Mathematik
5 Acta Applicandae Mathematicae
5 Japan Journal of Industrial and Applied Mathematics
5 Physics of Fluids
5 Stochastics and Dynamics
5 Science China. Mathematics
4 Computer Physics Communications
4 Fluid Dynamics
4 Reports on Mathematical Physics
4 Fuzzy Sets and Systems
4 Inventiones Mathematicae
4 Memoirs of the American Mathematical Society
4 Applied Mathematics Letters
4 Journal of Mathematical Sciences (New York)
4 Journal of the European Mathematical Society (JEMS)
4 Foundations of Computational Mathematics
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Journal of Geometric Mechanics
4 Journal of Computational Dynamics
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Computers & Mathematics with Applications
3 International Journal of Heat and Mass Transfer
3 Journal of Computational Physics
3 Journal of Engineering Mathematics
3 Journal of Mathematical Biology
3 Letters in Mathematical Physics
3 Theoretical and Mathematical Physics
3 Mathematics of Computation
3 Automatica
3 Journal of Applied Probability
3 Journal of Computational and Applied Mathematics
3 Meccanica
3 Journal of Scientific Computing
3 European Journal of Applied Mathematics
3 Applied Mathematical Modelling
3 Stochastic Processes and their Applications
3 Calculus of Variations and Partial Differential Equations
3 Computational and Applied Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Conformal Geometry and Dynamics
3 Annals of Mathematics. Second Series
3 Acta Mathematica Sinica. English Series
3 Annales Henri Poincaré
3 International Journal of Geometric Methods in Modern Physics
3 Mediterranean Journal of Mathematics
3 Journal of Statistical Mechanics: Theory and Experiment
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 The Journal of Mathematical Neuroscience
3 Arnold Mathematical Journal
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Applied Mathematics and Nonlinear Sciences
3 Annales Henri Lebesgue
2 Acta Mechanica
2 Applicable Analysis
...and 197 more Journals
all top 5

Cited in 59 Fields

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

Citations by Year