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) all top 5 Latest Volumes 27 (2015) 26 (2010) 25 (2006) 24 (2007) 23 (2004/2010) 22 (2004) 21 (2002) 20 (2001) 19 (2001) 18 (2001) 17 (2001) 16 (2000) 15 (2000) 14 (2000) 13 (1999/2012) 12 (1999) 11 (1998) 10 (1996) 9 (1996) 8 (1996) 7 (1995) 6 (1993) 5 (1993/2000) 4 (1993) 3 (1992/1998) 2 (1991) 1 (1991) all top 5 Authors / Editors 4 Hoover, William Graham 4 Llibre, Jaume 2 Adelmeyer, Moritz 2 Alsedà, Lluís 2 Hoover, Carol Griswold 2 Iooss, Gérard 2 Kambe, Tsutomu 2 Lacomba, Ernesto A. 2 MacKay, Robert Sinclair 2 Misiurewicz, Michał 2 Sinaĭ, Yakov Grigor’evich 1 Baladi, Viviane 1 Beck, Christian 1 Benkadda, Sadruddin 1 Champneys, Alan R. 1 Chossat, Pascal 1 Cushman, Richard H. 1 Dauxois, Thierry 1 Doveil, Fabrice 1 Duistermaat, Johannes Jisse 1 Elskens, Yves 1 Galka, Andreas 1 Getling, A. V. 1 Golé, Christophe 1 Goriely, Alain 1 Hunt, Giles W. 1 Irwin, M. C. 1 Jiang, Yunping 1 Kirchgässner, Klaus 1 Klages, Rainer 1 Lauterbach, Reiner 1 Litvak-Hinenzon, Anna 1 Mielke, Alexander 1 Okamoto, Hisashi 1 Shōji, Mayumi 1 Śniatycki, Jędrzej 1 Spanoudaki, Anna 1 Sprott, Julien Clinton 1 Thompson, John Michael T. all top 5 Fields 19 Dynamical systems and ergodic theory (37-XX) 8 General and overarching topics; collections (00-XX) 8 Fluid mechanics (76-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of particles and systems (70-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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