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Author ID: rossler.otto-e Recent zbMATH articles by "Rossler, Otto E."
Published as: Rössler, Otto E.; Rössler, O. E.; Rossler, Otto E.; Rossler, O. E.; Rössler, Otto; Rössler, O.

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 1,371 times in 1,203 Documents Cited by Year
An equation for continuous chaos. Zbl 1371.37062
Rössler, O. E.
777
1976
An equation for hyperchaos. Zbl 0996.37502
Rössler, O. E.
344
1979
Quantum mechanics, diffusion and chaotic fractals. Reprinted from the journal Chaos, Solitons and Fractals 4, No. 3, 7, 10 (1994). Zbl 0830.58001
55
1995
Continuous chaos - four prototype equations. Zbl 0437.76055
Rössler, Otto E.
46
1979
Chaos in abstract kinetics: Two prototypes. Zbl 0365.92003
Rössler, Otto E.
16
1977
Special issue: Nonlinear dynamics, general relativity and the quantum (the uneven flow of fractal time). Zbl 0932.00028
13
1997
Inequivalent topologies of chaos in simple equations. Zbl 1084.34048
Letellier, Christophe; Roulin, Elise; Rössler, Otto E.
11
2006
Hyperchaos of arbitrary order generated by a single feedback circuit, and the emergence of chaotic walks. Zbl 1080.37037
Thomas, René; Basios, Vasileios; Eiswirth, Markus; Kruel, Thomas; Rössler, Otto E.
10
2004
Continuous chaos. Zbl 0372.58012
Rössler, O. E.
10
1977
Bifurcation theory and applications in scientific disciplines. Zbl 0425.00011
8
1979
The chaotic hierarchy. Zbl 0588.58048
Rössler, Otto E.
6
1983
A “superfat” chaotic attractor. Zbl 0779.58029
Kube, M. C.; Rossler, O. E.; Hudson, J. L.
5
1993
Smooth decomposition of generalized Fatou set explains smooth structure in generalized Mandelbrot set. Zbl 0987.37500
Peinke, J.; Parisi, J.; Röhricht, B.; Rössler, O. E.; Metzler, W.
4
1988
Four open problems in four dimensions. Zbl 0834.58003
Rössler, Otto E.
4
1991
Endophysics. The world as an interface. With a preface and text selection by Peter Weibel. Edited by Reimara Rössler. Zbl 0997.00551
Rössler, Otto E.
4
1998
Chaos. The world of nonperiodic oscillations. Zbl 1439.34003
Rössler, Otto E.; Letellier, Christophe
4
2020
On the possibility of a new relativistic contraction law. Zbl 1054.83027
Rossler, O. E.; Fröhlich, D.; Kleiner, N.; Pfaff, M.; Argyris, J.
3
2004
From \(n\)-tori to hyperchaos. Zbl 0742.58046
Klein, M.; Baier, G.; Rössler, O. E.
3
1991
The gluing-together principle and chaos. Zbl 0449.34034
Rössler, O. E.
3
1981
Chaotic oscillations: An example of hyperchaos. Zbl 0451.58024
Rössler, O. E.
3
1979
Some elements for a history of the dynamical systems theory. Zbl 1462.37002
Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L.
3
2021
Micro constructivism. Zbl 0900.92196
Rossler, Otto E.
2
1994
Singular-perturbation homoclinic hyperchaos. Zbl 0744.58051
Rossler, O. E.
2
1991
Fraiberg-Lenneberg speech. Zbl 0800.92005
Rossler, O. E.
2
1994
Intra-observer chaos: Hidden root of quantum mechanics? Zbl 0798.58088
Rossler, Otto E.
2
1994
The chaotic hierarchy. Zbl 0836.34043
Rössler, Otto E.
2
1991
Strange attractors in 3-variable reaction systems. Zbl 0389.76100
Rössler, Otto E.; Ortoleva, Peter J.
2
1978
Analytical results on a chaotic piecewise-linear O.D.E. Zbl 0588.58045
Uehleke, B.; Rössler, O. E.
2
1984
Chaos in a four-variable piecewise-linear system of differential equations. Zbl 0686.34004
Hudson, J. L.; Rössler, O. E.; Killory, Helen C.
2
1988
Relative-state theory: four new aspects. Zbl 1080.81519
Rössler, Otto E.
2
1996
Staircase baker’s map generates flaring-type time series. Zbl 1061.37065
Hartmann, G. C.; Radons, G.; Diebner, H. H.; Rössler, O. E.
2
2000
Unfolding a chaotic bifurcation. Zbl 0724.58045
Rössler, O. E.; Stewart, H. B.; Wiesenfeld, K.
2
1990
Noodle-map chaos: A simple example. Zbl 0539.58020
Rössler, O. E.; Hudson, J. L.; Farmer, J. D.
1
1984
The scale change of Einstein’s equivalence principle. Zbl 1073.83522
Rossler, Otto E.; Kuypers, Heinrich
1
2005
Long line attractors. Zbl 0607.58025
Rössler, O. E.
1
1985
Cosmic shear’s temporal fluctuations generate a distance-proportional redshift in both time directions: minibang-theory. Zbl 1075.83565
Rossler, O. E.
1
2004
Energy-nonconservation in physics? Zbl 0973.83067
Rossler, Otto E.
1
1999
How two competing characteristic exponents generate different classes of fractal boundaries. Zbl 0877.28008
Peinke, Joachim; Klein, Michael; Kittel, Achim; Kahlert, Claus; Stoop, Ruedi; Parisi, Jürgen; Rössler, Otto E.
1
1991
Attractors with flares. Zbl 0876.58031
Rossler, Otto E.; Hartmann, Georg C.
1
1995
Higher tori in volume-preserving maps. Zbl 0799.58045
Baier, Gerold; Klein, Michael; Rössler, Otto E.
1
1990
Almost-black-holes: An old-new paradigm. Zbl 0947.83032
Rössler, O. E.; Kuypers, H.; Diebner, H. H.; El Naschie, M. S.
1
1998
An introduction to chaos. Zbl 0831.58034
Rossler, Otto E.
1
1995
Nowhere-differentiable attractors. Zbl 0835.58024
Rossler, O. E.; Knudsen, C.; Hudson, J. L.; Tsuda, I.
1
1995
Chaotic oscillations in a 3-variable quadratic mass action system. Zbl 0424.92025
Rössler, O. E.
1
1978
Chaos as a limit in a boundary value problem. Zbl 0588.58046
Kahlert, Claus; Rössler, Otto E.
1
1984
A piecewise-linear invertible noodle map. Zbl 0594.58040
Hudson, J. L.; Rössler, O. E.
1
1984
Space time physics and fractality. Festschrift in honour of Mohamed El Naschie on the occasion of his 60th birthday. Papers from the Symposium on space time physics, transfinite mathematics and computer art, Karlsruhe, Germany, October 11, 2003. Zbl 1103.82005
1
2005
Coupled flare attractors – a discrete prototype for economic modelling. Zbl 1010.37058
Hartmann, Georg C.; Rössler, Otto E.
1
1998
Post-quantum relativity. Zbl 1012.83505
Rössler, O. E.; Weibel, P.
1
2001
Some elements for a history of the dynamical systems theory. Zbl 1462.37002
Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L.
3
2021
Chaos. The world of nonperiodic oscillations. Zbl 1439.34003
Rössler, Otto E.; Letellier, Christophe
4
2020
Inequivalent topologies of chaos in simple equations. Zbl 1084.34048
Letellier, Christophe; Roulin, Elise; Rössler, Otto E.
11
2006
The scale change of Einstein’s equivalence principle. Zbl 1073.83522
Rossler, Otto E.; Kuypers, Heinrich
1
2005
Space time physics and fractality. Festschrift in honour of Mohamed El Naschie on the occasion of his 60th birthday. Papers from the Symposium on space time physics, transfinite mathematics and computer art, Karlsruhe, Germany, October 11, 2003. Zbl 1103.82005
1
2005
Hyperchaos of arbitrary order generated by a single feedback circuit, and the emergence of chaotic walks. Zbl 1080.37037
Thomas, René; Basios, Vasileios; Eiswirth, Markus; Kruel, Thomas; Rössler, Otto E.
10
2004
On the possibility of a new relativistic contraction law. Zbl 1054.83027
Rossler, O. E.; Fröhlich, D.; Kleiner, N.; Pfaff, M.; Argyris, J.
3
2004
Cosmic shear’s temporal fluctuations generate a distance-proportional redshift in both time directions: minibang-theory. Zbl 1075.83565
Rossler, O. E.
1
2004
Post-quantum relativity. Zbl 1012.83505
Rössler, O. E.; Weibel, P.
1
2001
Staircase baker’s map generates flaring-type time series. Zbl 1061.37065
Hartmann, G. C.; Radons, G.; Diebner, H. H.; Rössler, O. E.
2
2000
Energy-nonconservation in physics? Zbl 0973.83067
Rossler, Otto E.
1
1999
Endophysics. The world as an interface. With a preface and text selection by Peter Weibel. Edited by Reimara Rössler. Zbl 0997.00551
Rössler, Otto E.
4
1998
Almost-black-holes: An old-new paradigm. Zbl 0947.83032
Rössler, O. E.; Kuypers, H.; Diebner, H. H.; El Naschie, M. S.
1
1998
Coupled flare attractors – a discrete prototype for economic modelling. Zbl 1010.37058
Hartmann, Georg C.; Rössler, Otto E.
1
1998
Special issue: Nonlinear dynamics, general relativity and the quantum (the uneven flow of fractal time). Zbl 0932.00028
13
1997
Relative-state theory: four new aspects. Zbl 1080.81519
Rössler, Otto E.
2
1996
Quantum mechanics, diffusion and chaotic fractals. Reprinted from the journal Chaos, Solitons and Fractals 4, No. 3, 7, 10 (1994). Zbl 0830.58001
55
1995
Attractors with flares. Zbl 0876.58031
Rossler, Otto E.; Hartmann, Georg C.
1
1995
An introduction to chaos. Zbl 0831.58034
Rossler, Otto E.
1
1995
Nowhere-differentiable attractors. Zbl 0835.58024
Rossler, O. E.; Knudsen, C.; Hudson, J. L.; Tsuda, I.
1
1995
Micro constructivism. Zbl 0900.92196
Rossler, Otto E.
2
1994
Fraiberg-Lenneberg speech. Zbl 0800.92005
Rossler, O. E.
2
1994
Intra-observer chaos: Hidden root of quantum mechanics? Zbl 0798.58088
Rossler, Otto E.
2
1994
A “superfat” chaotic attractor. Zbl 0779.58029
Kube, M. C.; Rossler, O. E.; Hudson, J. L.
5
1993
Four open problems in four dimensions. Zbl 0834.58003
Rössler, Otto E.
4
1991
From \(n\)-tori to hyperchaos. Zbl 0742.58046
Klein, M.; Baier, G.; Rössler, O. E.
3
1991
Singular-perturbation homoclinic hyperchaos. Zbl 0744.58051
Rossler, O. E.
2
1991
The chaotic hierarchy. Zbl 0836.34043
Rössler, Otto E.
2
1991
How two competing characteristic exponents generate different classes of fractal boundaries. Zbl 0877.28008
Peinke, Joachim; Klein, Michael; Kittel, Achim; Kahlert, Claus; Stoop, Ruedi; Parisi, Jürgen; Rössler, Otto E.
1
1991
Unfolding a chaotic bifurcation. Zbl 0724.58045
Rössler, O. E.; Stewart, H. B.; Wiesenfeld, K.
2
1990
Higher tori in volume-preserving maps. Zbl 0799.58045
Baier, Gerold; Klein, Michael; Rössler, Otto E.
1
1990
Smooth decomposition of generalized Fatou set explains smooth structure in generalized Mandelbrot set. Zbl 0987.37500
Peinke, J.; Parisi, J.; Röhricht, B.; Rössler, O. E.; Metzler, W.
4
1988
Chaos in a four-variable piecewise-linear system of differential equations. Zbl 0686.34004
Hudson, J. L.; Rössler, O. E.; Killory, Helen C.
2
1988
Long line attractors. Zbl 0607.58025
Rössler, O. E.
1
1985
Analytical results on a chaotic piecewise-linear O.D.E. Zbl 0588.58045
Uehleke, B.; Rössler, O. E.
2
1984
Noodle-map chaos: A simple example. Zbl 0539.58020
Rössler, O. E.; Hudson, J. L.; Farmer, J. D.
1
1984
Chaos as a limit in a boundary value problem. Zbl 0588.58046
Kahlert, Claus; Rössler, Otto E.
1
1984
A piecewise-linear invertible noodle map. Zbl 0594.58040
Hudson, J. L.; Rössler, O. E.
1
1984
The chaotic hierarchy. Zbl 0588.58048
Rössler, Otto E.
6
1983
The gluing-together principle and chaos. Zbl 0449.34034
Rössler, O. E.
3
1981
An equation for hyperchaos. Zbl 0996.37502
Rössler, O. E.
344
1979
Continuous chaos - four prototype equations. Zbl 0437.76055
Rössler, Otto E.
46
1979
Bifurcation theory and applications in scientific disciplines. Zbl 0425.00011
8
1979
Chaotic oscillations: An example of hyperchaos. Zbl 0451.58024
Rössler, O. E.
3
1979
Strange attractors in 3-variable reaction systems. Zbl 0389.76100
Rössler, Otto E.; Ortoleva, Peter J.
2
1978
Chaotic oscillations in a 3-variable quadratic mass action system. Zbl 0424.92025
Rössler, O. E.
1
1978
Chaos in abstract kinetics: Two prototypes. Zbl 0365.92003
Rössler, Otto E.
16
1977
Continuous chaos. Zbl 0372.58012
Rössler, O. E.
10
1977
An equation for continuous chaos. Zbl 1371.37062
Rössler, O. E.
777
1976
all top 5

Cited by 1,879 Authors

61 Vaidyanathan, Sundarapandian
34 El Naschie, Mohamed Saladin
25 Chen, Guanrong
23 Letellier, Christophe
20 Yang, Qigui
17 Pham, Viet-Thanh
17 Rossler, Otto E.
16 Chen, Zengqiang
16 Volos, Christos K.
16 Wang, Xingyuan
14 Wei, Zhouchao
13 Jafari, Sajad
13 Liu, Yongjian
12 Aguirre, Luis Antonio
12 Llibre, Jaume
12 Sprott, Julien Clinton
12 Yu, Pei
12 Zhang, Fuchen
11 Agop, Maricel
11 Azar, Ahmad Taher
11 Ghosh, Dibakar
10 Lai, Yingcheng
9 Kurths, Jürgen
9 Yang, Xiaosong
8 Aihara, Kazuyuki
8 Doungmo Goufo, Emile Franc
8 Li, Xianyi
8 Rech, Paulo C.
7 Ioannou, Pavlos D.
7 Liao, Xiao Xin
7 Mangiarotti, Sylvain
7 Shu, Yonglu
7 Wang, Haijun
7 Yan, Jun-Juh
7 Zgliczyński, Piotr
7 Zhou, Xiaobing
6 Boccaletti, Stefano
6 Cang, Shijian
6 Carroll, Thomas L.
6 Chlouverakis, Konstantinos E.
6 Chu, Yandong
6 Fotsin, Hilaire Bertrand
6 Frasca, Mattia
6 Hirata, Yoshito
6 Kapitaniak, Tomasz
6 Kazakov, Alexey O.
6 Leonov, Gennadiĭ Alekseevich
6 Li, Xianfeng
6 Mahmoud, Emad E.
6 Mahmoud, Gamal M.
6 Mu, Chunlai
6 Nepomuceno, Erivelton Geraldo
6 Qi, Guoyuan
6 Stankevich, Nataliya Vladimirovna
6 Wang, Jiezhi
6 Wang, Zenghui
6 Zhang, Jiangang
6 Zhou, Ping
5 Anishchenko, Vadim Semenovich
5 Buzea, Călin Gheorghe
5 Corron, Ned J.
5 Donner, Reik V.
5 Fang, Jian’an
5 Grassi, Giuseppe
5 Grebogi, Celso
5 Jiang, Guoping
5 Lai, Qiang
5 Li, Qingdu
5 Liao, Tehlu
5 Messias, Marcelo
5 Nica, Petrică
5 Ord, Garnet N.
5 Prasad, Awadhesh
5 Rajagopal, Karthikeyan
5 Roy, Binoy Krishna
5 Singh, Jay Prakash
5 Valls Anglés, Cláudia
5 Wu, Ranchao
5 Yang, Fangyan
5 Yuan, Zhuzhi
5 Zhou, Tianshou
4 Andreadis, Ioannis
4 Argyris, John Hadji
4 Blakely, Jonathan N.
4 Burkin, Igor’ Mikhaĭlovich
4 Cao, Jinde
4 Dana, Syamal Kumar
4 Gilmore, Robert
4 Khan, Ayub
4 Khumalo, Melusi
4 Kingni, Sifeu Takougang
4 Kuznetsov, Nikolay Vladimirovich
4 Liao, Xiaofeng
4 Liu, Chongxin
4 Lu, Junan
4 Nazarimehr, Fahimeh
4 Nikolov, Svetoslav G.
4 Odibat, Zaid M.
4 Ouannas, Adel
4 Pyragas, Kestutis
...and 1,779 more Authors
all top 5

Cited in 166 Serials

216 Chaos, Solitons and Fractals
188 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
152 Chaos
79 Nonlinear Dynamics
50 Physica D
44 Communications in Nonlinear Science and Numerical Simulation
24 Applied Mathematics and Computation
17 International Journal of Modern Physics B
15 Physics Letters. A
14 Complexity
14 Mathematical Problems in Engineering
11 Nonlinear Analysis. Real World Applications
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Abstract and Applied Analysis
8 Physica A
8 Mathematics and Computers in Simulation
7 Journal of the Franklin Institute
7 Mathematical and Computer Modelling
7 Discrete Dynamics in Nature and Society
6 Computers & Mathematics with Applications
6 Journal of Mathematical Physics
6 Journal of Applied Mathematics
6 Advances in Difference Equations
5 Physics Reports
5 Bulletin of Mathematical Biology
5 Archives of Control Sciences
5 Regular and Chaotic Dynamics
4 Journal of Mathematical Analysis and Applications
4 Journal of Computational and Applied Mathematics
4 Applied Mathematics Letters
4 International Journal of Modern Physics C
4 Discrete and Continuous Dynamical Systems. Series B
4 Journal of Systems Science and Complexity
4 Entropy
4 International Journal of Applied and Computational Mathematics
3 Modern Physics Letters B
3 Computer Methods in Applied Mechanics and Engineering
3 International Journal of Control
3 International Journal of Engineering Science
3 International Journal of Systems Science
3 Mathematical Methods in the Applied Sciences
3 Automatica
3 Systems & Control Letters
3 Applied Mathematical Modelling
3 Journal of Nonlinear Science
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Advances in Mathematical Physics
3 Journal of Theoretical Biology
3 Russian Journal of Nonlinear Dynamics
2 Biological Cybernetics
2 International Journal of General Systems
2 International Journal of Theoretical Physics
2 Journal of Mathematical Biology
2 Letters in Mathematical Physics
2 Mathematical Biosciences
2 Nonlinearity
2 Information Sciences
2 Journal of Differential Equations
2 Kybernetika
2 Circuits, Systems, and Signal Processing
2 Acta Applicandae Mathematicae
2 Japan Journal of Applied Mathematics
2 Neural Computation
2 Journal of Dynamics and Differential Equations
2 Journal of Computer and Systems Sciences International
2 Physics of Fluids
2 Computational and Applied Mathematics
2 Fractals
2 Doklady Mathematics
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 New Journal of Physics
2 Qualitative Theory of Dynamical Systems
2 Dynamical Systems
2 Journal of Statistical Mechanics: Theory and Experiment
2 Chebyshevskiĭ Sbornik
2 Journal of Nonlinear Science and Applications
2 Journal of Mathematics
2 AIMS Mathematics
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Journal of Applied Mathematics and Mechanics
1 Journal of Computational Physics
1 Journal of Statistical Physics
1 Reports on Mathematical Physics
1 Reviews of Modern Physics
1 Theoretical and Mathematical Physics
1 Demonstratio Mathematica
1 Journal of Mathematical Economics
1 Journal of Statistical Planning and Inference
1 SIAM Journal on Control and Optimization
1 Theoretical Population Biology
1 Cybernetics and Systems
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Optimization
1 International Journal of Intelligent Systems
1 Dynamics and Stability of Systems
1 Journal of the Ramanujan Mathematical Society
1 European Journal of Applied Mathematics
1 Computational Mathematics and Modeling
...and 66 more Serials
all top 5

Cited in 48 Fields

674 Dynamical systems and ergodic theory (37-XX)
624 Ordinary differential equations (34-XX)
287 Systems theory; control (93-XX)
75 Information and communication theory, circuits (94-XX)
73 Numerical analysis (65-XX)
64 Biology and other natural sciences (92-XX)
50 Quantum theory (81-XX)
42 Mechanics of particles and systems (70-XX)
38 Statistics (62-XX)
38 Relativity and gravitational theory (83-XX)
31 Computer science (68-XX)
26 Statistical mechanics, structure of matter (82-XX)
22 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Fluid mechanics (76-XX)
20 Real functions (26-XX)
19 Partial differential equations (35-XX)
19 Probability theory and stochastic processes (60-XX)
14 Measure and integration (28-XX)
12 Combinatorics (05-XX)
12 Operations research, mathematical programming (90-XX)
11 General topology (54-XX)
9 General and overarching topics; collections (00-XX)
9 Difference and functional equations (39-XX)
9 Geophysics (86-XX)
6 History and biography (01-XX)
6 Mathematical logic and foundations (03-XX)
5 Differential geometry (53-XX)
5 Manifolds and cell complexes (57-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Optics, electromagnetic theory (78-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Number theory (11-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Astronomy and astrophysics (85-XX)
2 Group theory and generalizations (20-XX)
2 Operator theory (47-XX)
2 Mechanics of deformable solids (74-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year