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Author ID: crauel.hans Recent zbMATH articles by "Crauel, Hans"
Published as: Crauel, Hans; Crauel, H.
Documents Indexed: 35 Publications since 1983, including 2 Books
3 Contributions as Editor
Reviewing Activity: 276 Reviews
Co-Authors: 24 Co-Authors with 23 Joint Publications
953 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 1,797 times in 1,047 Documents Cited by Year
Attractors for random dynamical systems. Zbl 0819.58023
Crauel, Hans; Flandoli, Franco
516
1994
Random attractors. Zbl 0884.58064
Crauel, Hans; Debussche, Arnaud; Flandoli, Franco
503
1997
Random probability measures on Polish spaces. Zbl 1031.60041
Crauel, Hans
106
2002
Stabilization of linear systems by noise. Zbl 0514.93069
Arnold, Ludwig; Crauel, Hans; Wihstutz, Volker
94
1983
Random point attractors versus random set attractors. Zbl 1011.37032
Crauel, Hans
62
2001
Additive noise destroys a pitchfork bifurcation. Zbl 0907.34042
Crauel, Hans; Flandoli, Franco
61
1998
Global random attractors are uniquely determined by attracting deterministic compact sets. Zbl 0954.37027
Crauel, Hans
58
1999
Hausdorff dimension of invariant sets for random dynamical systems. Zbl 0927.37031
Crauel, Hans; Flandoli, Franco
41
1998
Random attractors of stochastic reaction-diffusion equations on variable domains. Zbl 1235.60076
Crauel, H.; Kloeden, P. E.; Yang, Meihua
35
2011
Markov measures for random dynamical systems. Zbl 0739.60066
Crauel, Hans
31
1991
Extremal exponents of random dynamical systems do not vanish. Zbl 0741.34026
Crauel, Hans
31
1990
Nonautonomous and random attractors. Zbl 1358.37041
Crauel, Hans; Kloeden, Peter E.
30
2015
The effect of noise on the Chafee-Infante equation: a nonlinear case study. Zbl 1173.60022
Caraballo, Tomás; Crauel, Hans; Langa, José A.; Robinson, James C.
28
2007
Random dynamical systems. Zbl 0736.58029
Arnold, Ludwig; Crauel, Hans
25
1991
Criteria for strong and weak random attractors. Zbl 1181.37075
Crauel, Hans; Dimitroff, Georgi; Scheutzow, Michael
18
2009
The Abramov-Rokhlin formula. Zbl 0764.58017
Bogenschütz, Thomas; Crauel, Hans
17
1992
Bifurcations of one-dimensional stochastic differential equations. Zbl 0949.60066
Crauel, Hans; Imkeller, Peter; Steinkamp, Marcus
16
1999
Iterated function systems and multiplicative ergodic theory. Zbl 0760.60008
Arnold, Ludwig; Crauel, Hans
15
1992
Towards a Morse theory for random dynamical systems. Zbl 1050.37026
Crauel, Hans; Duc, Luu Hoang; Siegmund, Stefan
12
2004
Measure attractors and Markov attractors. Zbl 1153.37391
Crauel, H.
11
2008
Minimal random attractors. Zbl 1386.37050
Crauel, Hans; Scheutzow, Michael
9
2018
A uniformly exponential random forward attractor which is not a pullback attractor. Zbl 1015.37041
Crauel, Hans
9
2002
Random dynamical systems: Positivity of Lyapunov exponents, and Markov systems. Zbl 0684.58019
Crauel, Hans
8
1987
Stochastic partial differential equations with additive noise on time-varying domains. Zbl 1242.60063
Crauel, Hans; Kloeden, Peter E.; Real Anguas, José
8
2010
Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the ocassion of his 60th birthday. Zbl 0916.00011
7
1999
Lyapunov exponents. Proceedings of a conference, held in Oberwolfach, Germany, May 28-June 2, 1990. Zbl 0733.00015
6
1991
Lyapunov exponents and invariant measures of stochastic systems on manifolds. Zbl 0596.58044
Crauel, Hans
6
1986
White noise eliminates instability. Zbl 0997.37021
Crauel, Hans
6
2000
Non-Markovian invariant measures are hyperbolic. Zbl 0778.60030
Crauel, Hans
5
1993
Lyapunov exponents of random dynamical systems on Grassmannians. Zbl 0754.58019
Crauel, Hans
5
1991
Invariant measures for random dynamical systems on the circle. Zbl 1015.37040
Crauel, Hans
4
2002
Difference equations with random delay. Zbl 1171.37325
Crauel, H.; Doan, T. S.; Siegmund, S.
4
2009
Stabilization of linear systems by rotation. Zbl 1124.34031
Crauel, Hans; Damm, Tobias; Ilchmann, Achim
3
2007
Lyapunov numbers of Markov solutions of linear stochastic systems. Zbl 0564.60058
Crauel, Hans
3
1984
Dissipativity of three-dimensional stochastic Navier-Stokes equation. Zbl 0831.58032
Crauel, Hans; Flandoli, Franco
2
1995
Noise assisted high-gain stabilization: Almost surely or in second mean. Zbl 1049.93084
Crauel, Hans; Matsikis, Iakovos; Townley, Stuart
2
2003
Minimal random attractors. Zbl 1386.37050
Crauel, Hans; Scheutzow, Michael
9
2018
Nonautonomous and random attractors. Zbl 1358.37041
Crauel, Hans; Kloeden, Peter E.
30
2015
Random attractors of stochastic reaction-diffusion equations on variable domains. Zbl 1235.60076
Crauel, H.; Kloeden, P. E.; Yang, Meihua
35
2011
Stochastic partial differential equations with additive noise on time-varying domains. Zbl 1242.60063
Crauel, Hans; Kloeden, Peter E.; Real Anguas, José
8
2010
Criteria for strong and weak random attractors. Zbl 1181.37075
Crauel, Hans; Dimitroff, Georgi; Scheutzow, Michael
18
2009
Difference equations with random delay. Zbl 1171.37325
Crauel, H.; Doan, T. S.; Siegmund, S.
4
2009
Measure attractors and Markov attractors. Zbl 1153.37391
Crauel, H.
11
2008
The effect of noise on the Chafee-Infante equation: a nonlinear case study. Zbl 1173.60022
Caraballo, Tomás; Crauel, Hans; Langa, José A.; Robinson, James C.
28
2007
Stabilization of linear systems by rotation. Zbl 1124.34031
Crauel, Hans; Damm, Tobias; Ilchmann, Achim
3
2007
Towards a Morse theory for random dynamical systems. Zbl 1050.37026
Crauel, Hans; Duc, Luu Hoang; Siegmund, Stefan
12
2004
Noise assisted high-gain stabilization: Almost surely or in second mean. Zbl 1049.93084
Crauel, Hans; Matsikis, Iakovos; Townley, Stuart
2
2003
Random probability measures on Polish spaces. Zbl 1031.60041
Crauel, Hans
106
2002
A uniformly exponential random forward attractor which is not a pullback attractor. Zbl 1015.37041
Crauel, Hans
9
2002
Invariant measures for random dynamical systems on the circle. Zbl 1015.37040
Crauel, Hans
4
2002
Random point attractors versus random set attractors. Zbl 1011.37032
Crauel, Hans
62
2001
White noise eliminates instability. Zbl 0997.37021
Crauel, Hans
6
2000
Global random attractors are uniquely determined by attracting deterministic compact sets. Zbl 0954.37027
Crauel, Hans
58
1999
Bifurcations of one-dimensional stochastic differential equations. Zbl 0949.60066
Crauel, Hans; Imkeller, Peter; Steinkamp, Marcus
16
1999
Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the ocassion of his 60th birthday. Zbl 0916.00011
7
1999
Additive noise destroys a pitchfork bifurcation. Zbl 0907.34042
Crauel, Hans; Flandoli, Franco
61
1998
Hausdorff dimension of invariant sets for random dynamical systems. Zbl 0927.37031
Crauel, Hans; Flandoli, Franco
41
1998
Random attractors. Zbl 0884.58064
Crauel, Hans; Debussche, Arnaud; Flandoli, Franco
503
1997
Dissipativity of three-dimensional stochastic Navier-Stokes equation. Zbl 0831.58032
Crauel, Hans; Flandoli, Franco
2
1995
Attractors for random dynamical systems. Zbl 0819.58023
Crauel, Hans; Flandoli, Franco
516
1994
Non-Markovian invariant measures are hyperbolic. Zbl 0778.60030
Crauel, Hans
5
1993
The Abramov-Rokhlin formula. Zbl 0764.58017
Bogenschütz, Thomas; Crauel, Hans
17
1992
Iterated function systems and multiplicative ergodic theory. Zbl 0760.60008
Arnold, Ludwig; Crauel, Hans
15
1992
Markov measures for random dynamical systems. Zbl 0739.60066
Crauel, Hans
31
1991
Random dynamical systems. Zbl 0736.58029
Arnold, Ludwig; Crauel, Hans
25
1991
Lyapunov exponents. Proceedings of a conference, held in Oberwolfach, Germany, May 28-June 2, 1990. Zbl 0733.00015
6
1991
Lyapunov exponents of random dynamical systems on Grassmannians. Zbl 0754.58019
Crauel, Hans
5
1991
Extremal exponents of random dynamical systems do not vanish. Zbl 0741.34026
Crauel, Hans
31
1990
Random dynamical systems: Positivity of Lyapunov exponents, and Markov systems. Zbl 0684.58019
Crauel, Hans
8
1987
Lyapunov exponents and invariant measures of stochastic systems on manifolds. Zbl 0596.58044
Crauel, Hans
6
1986
Lyapunov numbers of Markov solutions of linear stochastic systems. Zbl 0564.60058
Crauel, Hans
3
1984
Stabilization of linear systems by noise. Zbl 0514.93069
Arnold, Ludwig; Crauel, Hans; Wihstutz, Volker
94
1983
all top 5

Cited by 1,001 Authors

54 Caraballo Garrido, Tomás
46 Wang, Bixiang
35 Li, Yangrong
32 Kloeden, Peter Eris
32 Langa, Jose’ Antonio
30 Zhou, Shengfan
23 Shu, Ji
23 Zhao, Wenqiang
21 Duan, Jinqiao
20 Guo, Boling
20 Real Anguas, José
19 Mao, Xuerong
18 Robinson, James Cooper
17 Gu, Anhui
16 Flandoli, Franco
16 Marín-Rubio, Pedro
16 Scheutzow, Michael K. R.
15 Crauel, Hans
14 Cui, Hongyong
14 Huang, Jianhua
14 Lu, Kening
13 Han, Xiaoying
13 Li, Dingshi
13 Schmalfuß, Björn
13 Valero, José
13 Wang, Renhai
12 Wang, Zhaojuan
11 Gess, Benjamin
11 Guo, Chunxiao
11 Guo, Yanfeng
11 Ma, Qiaozhen
11 Wang, Xiaohu
10 Anguiano, María
10 Wang, Yejuan
9 Li, Desheng
9 Yang, Meihua
9 You, Yuncheng
9 Zhang, Jian
8 Gao, Hongjun
8 Kühn, Christian
8 Nolasco de Carvalho, Alexandre
8 Sun, Chunyou
8 Wu, Fuke
8 Xin, Jie
7 Barbu, Viorel
7 Duc, Luu Hoang
7 Engel, Maximilian
7 Ju, Xuewei
7 Kinra, Kush
7 Łukaszewicz, Grzegorz
7 Mohan, Manil Thankamani
7 Neamţu, Alexandra
7 Rasmussen, Martin
7 Shi, Lin
7 Wang, Wei
7 You, Bo
7 Zhang, Qiangheng
7 Zhang, Yijin
7 Zhao, Caidi
6 Blömker, Dirk
6 Chekroun, Mickaël D.
6 Chen, Ercai
6 Debussche, Arnaud
6 Ding, Xiaoquan
6 Guzik, Grzegorz
6 Homburg, Ale Jan
6 Huang, Xin
6 Jiang, Jifa
6 Li, Donglong
6 Li, Fang
6 Liang, Fei
6 Lv, Yan
6 Rodkina, Alexandra
6 Urbański, Mariusz
6 Xu, Ling
6 Yang, Shuang
6 Yao, Xiaobin
5 Arnold, Ludwig
5 Bates, Peter W.
5 Chen, Pengyu
5 Da Prato, Giuseppe
5 Deng, Feiqi
5 Doan, Thai Son
5 Friston, Karl J.
5 Garrido-Atienza, María José
5 Gelfert, Katrin Grit
5 Lamb, Jeroen S. W.
5 Lawley, Sean D.
5 Liu, Hui
5 Liu, Linfang
5 Lu, Hong
5 Park, Jong Yeoul
5 Röckner, Michael
5 Shen, Wenxian
5 Tan, Wen
5 Xu, Wei
5 Zhu, Quanxin
4 Appleby, John A. D.
4 Brzeźniak, Zdzisław
4 Cao, Dengqing
...and 901 more Authors
all top 5

Cited in 211 Serials

78 Journal of Differential Equations
70 Discrete and Continuous Dynamical Systems. Series B
64 Stochastics and Dynamics
42 Journal of Mathematical Analysis and Applications
41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
35 Stochastic Analysis and Applications
30 Journal of Mathematical Physics
27 Journal of Dynamics and Differential Equations
25 Discrete and Continuous Dynamical Systems
24 Physica D
20 Stochastic Processes and their Applications
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 Communications on Pure and Applied Analysis
15 Journal of Difference Equations and Applications
14 Dynamical Systems
13 Nonlinear Analysis. Real World Applications
13 Advances in Difference Equations
12 Nonlinearity
12 Systems & Control Letters
12 Abstract and Applied Analysis
11 Applied Mathematics and Computation
11 Ergodic Theory and Dynamical Systems
10 Probability Theory and Related Fields
9 Communications in Mathematical Physics
9 Boundary Value Problems
8 Transactions of the American Mathematical Society
8 SIAM Journal on Applied Dynamical Systems
8 Stochastics
7 Computers & Mathematics with Applications
7 International Journal of Control
7 Chaos, Solitons and Fractals
7 SIAM Journal on Control and Optimization
7 Discrete and Continuous Dynamical Systems. Series S
6 Applicable Analysis
6 Journal of Statistical Physics
6 Proceedings of the American Mathematical Society
6 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Mathematical Biology
5 The Annals of Probability
5 Applied Mathematics and Optimization
5 Automatica
5 SIAM Journal on Mathematical Analysis
5 Nonlinear Dynamics
5 Journal of Applied Analysis and Computation
5 Evolution Equations and Control Theory
5 Open Mathematics
5 AIMS Mathematics
4 Journal of the Franklin Institute
4 Journal of Functional Analysis
4 Applied Mathematics and Mechanics. (English Edition)
4 The Annals of Applied Probability
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 NoDEA. Nonlinear Differential Equations and Applications
4 Mathematical Problems in Engineering
4 Journal of Inequalities and Applications
4 Chaos
4 Discrete Dynamics in Nature and Society
4 Electronic Journal of Statistics
4 Banach Journal of Mathematical Analysis
4 Electronic Research Archive
3 Mathematical Methods in the Applied Sciences
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Statistics & Probability Letters
3 Acta Mathematicae Applicatae Sinica. English Series
3 Science in China. Series A
3 Journal of Nonlinear Science
3 Bulletin des Sciences Mathématiques
3 Taiwanese Journal of Mathematics
3 Qualitative Theory of Dynamical Systems
3 Differential Equations
3 Journal of Evolution Equations
3 Frontiers of Mathematics in China
3 Science China. Mathematics
2 Acta Mechanica
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal d’Analyse Mathématique
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Advances in Mathematics
2 Archiv der Mathematik
2 Monatshefte für Mathematik
2 Results in Mathematics
2 SIAM Journal on Numerical Analysis
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematics Letters
2 Dynamics and Stability of Systems
2 MCSS. Mathematics of Control, Signals, and Systems
2 Neural Computation
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Indagationes Mathematicae. New Series
2 Vestnik St. Petersburg University. Mathematics
2 Topological Methods in Nonlinear Analysis
2 Complexity
2 Electronic Journal of Probability
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of Mathematical Fluid Mechanics
2 Acta Mathematica Sinica. English Series
2 Journal of Dynamical and Control Systems
...and 111 more Serials
all top 5

Cited in 37 Fields

634 Dynamical systems and ergodic theory (37-XX)
519 Partial differential equations (35-XX)
501 Probability theory and stochastic processes (60-XX)
154 Ordinary differential equations (34-XX)
92 Systems theory; control (93-XX)
77 Fluid mechanics (76-XX)
57 Biology and other natural sciences (92-XX)
29 Measure and integration (28-XX)
23 Operator theory (47-XX)
23 Numerical analysis (65-XX)
23 Geophysics (86-XX)
19 Mechanics of deformable solids (74-XX)
14 Real functions (26-XX)
14 Difference and functional equations (39-XX)
11 Statistical mechanics, structure of matter (82-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Statistics (62-XX)
8 General topology (54-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Integral equations (45-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Mechanics of particles and systems (70-XX)
4 Functional analysis (46-XX)
4 Computer science (68-XX)
3 Topological groups, Lie groups (22-XX)
3 Quantum theory (81-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Information and communication theory, circuits (94-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year