Publications of members of the group
2006 2005 2004 2003 2002
2010
Bröcker, J.: On variational data assimilation in continuous time. Quarterly Journal of the Royal Meteorological Society 136, 1906 - 1919 (2010).
Bröcker, J.: Regularized Logistic Models for Probabilistic Forecasting and Diagnostics. Monthly Weather Review 138, 592 - 604 (2010).
de Wijn, A.S.: Equivalence of kinetic-theory and random-matrix approaches to Lyapunov spectra of hard-sphere systems. Physica D 239, 1834 - 1841 (2010).
Denisov, S.I., E.S. Denisova and H. Kantz: Biased diffusion in a piecewise linear random potential. European Physical Journal B 76, 1-11 (2010).
Denisov, S.I. and H. Kantz: Anomalous biased diffusion in a randomly layered medium. Physical Review E 81, 021117 (2010).
Denisov, S.I. and H. Kantz: Continuous-time random walk theory of superslow diffusion. EPL 92, 30001 (2010).
Denisov, S.I., H. Kantz and P. Hänggi: Langevin equation with super-heavy-tailed noise. Journal of Physics A 43, 285004 (2010).
Granger, L., M. Niemann and H. Kantz: Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model. Journal of Statistical Mechanics P06029 (2010).
Kantz, H.: Dynamics and statistics of extreme events. In: Network Science: complexity in nature and technology. E. Estrada, M. Fox, D. J. Higham and G.L. Oppo (Eds.). Berlin : Springer, 2010. S. 205 -216.
Laubrich, T. and H. Kantz: About First Order Geometric Auto Regressive Processes for Boundary Layer Wind Speed Simulation. In: Progress in Turbulence III. (Springer Proceedings in Physics ; 131). J. Peinke, M. Oberlack, A. Talamelli (Eds.). Berlin : Springer, 2010. S. 99 - 102.
Niemann, M., I.G. Szendro and H. Kantz: 1/f noise in a model for weak ergodicity breaking. Chemical Physics 375, 370 - 377 (2010).
Vitanov, N.K.: Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity. Communications in Nonlinear Science and Numerical Simulation 15, 2050 - 2060 (2010).
Vitanov, N.K.: Optimum fields and bounds on heat transport for nonlinear convection in rapidly rotating fluid layer. European Physical Journal B 73, 265 - 273 (2010).
Vitanov, N.K. and Z.I. Dimitrova: Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics. Communications in Nonlinear Science and Numerical Simulation 15, 2836 - 2845 (2010).
Vitanov, N.K., Z.I. Dimitrova and M. Ausloos: Verhulst-Lotka-Volterra (VLV) model of ideological struggle. Physica A 389, 4970 - 4980 (2010).
Vitanov, N.K., Z.I. Dimitrova and H. Kantz: Modified method of simplest equation and its application to nonlinear PDEs. Applied Mathematics and Computation 216, 2587 - 2595 (2010).
2009
Altmann, E.G. and T. Tël: Poincare recurrences and transient chaos in systems
with leaks. Physical
Review E 79,
016204
(2009).
Bröcker, J.: Reliability, sufficiency, and the decomposition of proper scores. Quarterly Journal of the Royal Meteorological Society 135, 1512 - 1519 (2009)
Bröcker, J., D. Engster and U. Parlitz: Probabilistic evaluation of time series models: A comparison of several approaches. Chaos 19, 043130 (2009)
Denisov, S.I., P. Hänggi and H. Kantz: Parameters of the fractional
Fokker-Planck
equation. EPL
85, 40007
(2009).
Denisov, S.I., W. Horsthemke and P. Hänggi: Generalized Fokker-Planck equation: Derivation and exact solutions. European Physical Journal B 68, 567 - 575 (2009).
Denisov, S.I., T.V. Lyutyy, E.S. Denisova, P. Hänggi and H. Kantz: Directed transport in periodically rocked random sawtooth potentials. Physical Review E 79, 051102 (2009).
Garber, A., S. Hallerberg and H. Kantz: Predicting extreme avalanches in self-organized critical sandpiles. Physical Review E 80, 026124 (2009).
Garber, A. and H. Kantz: Finite-size effects on the statistics of extreme
events in the
BTW
model. European
Physical
Journal B 67,
437 - 443
(2009).
Holstein, D. and H. Kantz: Optimal Markov approximations and generalized embeddings. Physical Review E 79, 056202 (2009).
Laubrich, T. and H. Kantz: A first order geometric auto regressive process for
boundary layer
wind speed
simulation. European
Physical
Journal B 70,
575 - 581
(2009).
Laubrich, T. and H. Kantz: Statistical analysis and stochastic modelling of boundary layer wind speed. European Physical Journal Spez. Top. 174, 197 - 206 (2009).
Lenz, F., D. Herde, A. Riegert and H. Kantz: Bivariate time-periodic Fokker-Planck model for freeway traffic. European Physical Journal B 72, 467 - 472 (2009).
Szendro, I.G., M.A. Rodriguez and J.M. Lopez: On the problem of data assimilation by means of synchronization. Journal of Geophysical Research Atmospheres 114, D20109 (2009).
Szendro, I.G., M.A. Rodriguez and J.M. Lopez: Spatial correlations of synchronization errors in extended chaotic systems. EPL 86, 20008 (2009).
2008
Altmann, E. G., G. Del Magno and M. Hentschel:
Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics. Epl 84, 10008 (2008).
Altmann, E. G., T. Friedrich, A. E. Motter, H. Kantz and A. Richter:
Prevalence of marginally unstable periodic orbits in chaotic billiards. Physical Review E 77, 016205 (2008).
Altmann, E. G. and T. Tel:
Poincare recurrences from the perspective of transient chaos. Physical Review Letters 100, 174101 (2008).
Bahraminasab, A., F. Ghasemi, A. Stefanovska, P. V. E. McClintock and H. Kantz:
Direction of coupling from phases of interacting oscillators: A permutation information approach.
Physical Review Letters 100, 084101 (2008).
Bahraminasab, A., D. Kenwright, A. Stefanovska, F. Ghasemi and P. V. E. McClintock:
Phase coupling in the cardiorespiratory interaction. IET Systems
Biology 2, 1, 48-54 (2008).
Baptista, M. S., C. Bohn, R. Kliegl, R. Engbert and J. Kurths:
Reconstruction of eye movements during blinks. Chaos 18, 013126 (2008).
Baptista, M. S., J. d. Carvalho and M. S. Hussein:
Finding quasi-optimal network topologies for information transmission in active networks.
PLoS One 3, e3479 (2008).
Baptista, M. S., S. P. Garcia, S. K. Dana and J. Kurths:
Transmission of information and synchronization in a pair of coupled chaotic circuits: an experimental overview.
European Physical Journal Special Topics 165, 119-128 (2008).
Baptista, M. S. and J. Kurths:
Transmission of information in active networks.
Physical Review E 77, 026205 (2008).
Broecker, J.:
Some remarks on the reliability of categorial probability forecasts.
Monthly Weather Review 136, 11, 4488-4502 (2008).
Broecker, J.:
On reliability analysis of multi-categorical forecasts. Nonlinear
Processes in Geophysics 15, 4, 661-673 (2008).
url: http://www.nonlin-processes-geophys.net/15/661/2008
Broecker, J. and L. A. Smith:
From ensemble forecasts to predictive distribution
functions. Tellus A 60, 4, 663-678 (2008).
Bunimovich, L. A. and G. Del Magno:
Semi-focusing billiards: ergodicity.
Ergodic Theory and Dynamical Systems 28, 1377-1417 (2008).
Cristadoro, G. and R. Ketzmerick:
Universality of algebraic decays in Hamiltonian systems. Physical Review Letters 100, 184101 (2008).
Denisov, S. I., W. Horsthemke and P. Haenggi:
Steady-state Levy flights in a confined domain. Physical Review E 77, 061112 (2008).
Gelfert, K. and C. Wolf:
Topological pressure via saddle points.
Transactions of the American Mathematical Society 360, 545-561 (2008).
Hallerberg, S., J. Broecker and H. Kantz:
Prediction of extreme events. In: Nonlinear time series analysis in the geosciences. (Eds.) Donner, R.V. ; Barbosa, S.M. Lecture notes in earth sciences 112. Springer, Berlin (2008) 35-60.
url: http://swbplus.bsz-bw.de/bsz28512093xinh.htm
Hallerberg, S. and H. Kantz:
How does the quality of a prediction depend on the magnitude of the events under study?
Nonlinear Processes in Geophysics 15, 2,
321-331 (2008).
url: www.nonlin-processes-geophys.net/15/321/2008/
Hallerberg, S. and H. Kantz:
Influence of the event magnitude on the predictability of an extreme event.
Physical Review E 77, 011108 (2008).
Helbing, D., J. Jost and H. Kantz:
Nonlinear physics everywhere: from molecules to cities. European Physical Journal B 63, 3, 283-283 (2008).
Javaloyes, J., M. Perrin and A. Politi:
Collective atomic recoil laser as a synchronization transition. Physical Review E 78, 011108 (2008).
Maranhao, D. M., M. S. Baptista, J. C. Sartorelli and I. L. Caldas:
Experimental observation of a complex periodic window. Physical Review E 77, 037202 (2008).
Marwan, N., A. Facchini, M. Thiel, J. P. Zbilut and H. Kantz:
20 Year of Recurrence Plots: Perspectives for a Multi-purpose Tool of Nonlinear Data Analysis.
European Physical Journal-Special Topics 164, 1-2 (2008).
Moukam Kakmeni, F. M. and M. S. Baptista:
Synchronization and information transmission in spatio-temporal networks of deformable units.
Pramana 70, 6, 1063-1076 (2008).
Mueller, M., G. Baier, C. Rummel and K. Schindler:
Estimating the strength of genuine and random correlations in non-stationary multivariate time series. EPL 84, 10009 (2008).
Mueller, M. and I. Rotter:
Exceptional points in open quantum systems. Journal of Physics A-Mathematical and Theoretical 41, 244018 (2008).
Niemann, M. and H. Kantz:
Joint probability distributions and multipoint correlations of the continuous-time random walk.
Physical Review E 78, 051104 (2008).
Pereira, T., M. Thiel, M. S. Baptista and J. Kurths:
Network mutual information and synchronization under time transformations. New Journal Physics 10,
083003 (2008).
Rummel, C., M. Mueller and K. Schindler:
Data-driven estimates of the number of clusters in multivariate time series. Physical Review E 78, 066703
(2008).
Santhanam, M. S. and H. Kantz:
Return interval distribution of extreme events and long term memory. Physical Review E 78, 051113 (2008).
Ullner, E., A. Koseska, J. Kurths, E. Volkov, H. Kantz and J. Garcia-Ojalvo:
Multistability of synthetic genetic networks with repressive cell-to-cell communication.
Physical Review E 78, 031904 (2008).
Zahnow, J. C., R. D. Vilela, U. Feudel and T. Tel:
Aggregation and fragmentation dynamics of inertial particles in chaotic flows. Physical Review E 77, 5,
055301 (2008).
Diploma:
Garber, A. K.:
Finite-size effects on extreme events in models exhibiting self-organised criticality. Diplom, Technische Universitaet, Dresden (2008).
Dissertations:
Hallerberg, S.:
Predictability of extreme events in time series.
Doktorarbeit, Bergische Universitaet, Wuppertal (2008). url:
http://elpub.bib.uni-wuppertal.de/edocs/dokumente/fbc/physik/diss2008/hallerberg
2007
Altmann, E. G. and H. Kantz:
Hypothesis of strong chaos anomalous diffusion in coupled symplectic maps.
Europhysics Letters 78, 10008 (2007).
Benczik, I. J., T. Tel and Z. Koelloe:
Modulated point-vortex couples on a beta-plane: dynamics and chaotic advection.
Journal of Fluid Mechanics 582, 1-22 (2007).
de Wijn, A. S. and H. Kantz:
Vertical chaos and horizontal diffusion in the bouncing-ball billiard. Physical Review E 75, 046214 (2007).
Emmerich, H., R. Siquieri, M. Jurgk, J. Rezende and J. Hubert:
A sharp interface model for the morphological evolution of precipitates in Al cast alloys.
Philosophical Magazine Letters 87, 11, 863-869 (2007).
Facchini, A. and H. Kantz:
Curved structures in recurrence plots: The role of the sampling time. Physical Review E 75, 036215 (2007).
Farahpour, F., Z. Eskandari, A. Bahraminasab, G. R. Jafari, F. Ghasemi, M. Sahimi
and M. Reza Rahimi Tabar:
A Langevin equation for the rates of currency exchange based on the Markov analysis. Physica A 385, 2, 601-608 (2007).
Garcia, S. P., L. B. DeLancey, J. S. Almeida and R. W. Chapman:
Ecoforecasting in real time for commercial fisheries: the Atlantic white shrimp as a case study.
Marine Biology 152, 15-24 (2007).
Gelfert, K. and H. Kantz:
Dynamical quantities and their numerical analysis by saddle periodic orbits. Physica D 232, 166-172 (2007).
Ghasemi, F., M. Sahimi, J. Peinke, R. Friedrich, G. R. Jafari and M. Reza Rahimi Tabar:
Markov analysis and Kramers-Moyal expansion of nonstationary stochastic processes with application to the fluctuations in the oil price. Physical Review E 75, 060102 (2007).
Hallerberg, S., E. G. Altmann, D. Holstein and H. Kantz:
Precursors of extreme increments. Physical Review E 75, 016706 (2007).
Jafari, G. R., M. Sadegh Movahed, P. Norouzzadeh, A. Bahraminasab, M. Sahimi, F. Ghasemi and M. Reza Rahimi Tabar:
Uncertainty in the fluctuations of the price of stocks. International Journal of Modern Physics C 18, 11, 1689-1697 (2007).
Kantz, H., D. Holstein, M. Ragwitz and N. K. Vitanov:
Short time prediction of wind speeds from local measurements. Wind Energy. (Eds.) Peinke, J. Springer, Berlin (2007) 93-98.
url: http://dx.doi.org/10.1007/978-3-540-33866-6
Riegert, A., W. Just, N. Baba and H. Kantz:
Fast Hamiltonian chaos: Heat bath without thermodynamic limit. Physical Review E 76, 066211 (2007).
Siquieri, R., H. Emmerich and M. Jurgk:
Computation of solidification problems with hydrodynamic convection resolving energetic anisotropies at the microscale quantitatively. European Physical Journal Special Topics 149, 27-41 (2007).
Urbanowicz, K. and H. Kantz:
Improvement of speech recognition by nonlinear noise reduction. Chaos 17, 023121 (2007).
Urbanowicz, K., J. J. Zebrowski, R. Baranowski and J. A. Holyst:
How random is your heart beat?. Physica A 384, 2, 439-447 (2007).
Varn, D. P., G. S. Canright and J. P. Crutchfield:
Inferring planar disorder in close-packed structures via epsilon-machine spectral reconstruction theory: structure and intrinsic computation in zinc sulfide. Acta Crystallographica Section B 63,
169-182 (2007).
Vilela, R. D. and A. E. Motter:
Can Aerosols Be Trapped in Open Flows? Physical Review Letters 99, 264101 (2007).
Vilela, R. D., T. Tel, A. P. S. de Moura and C. Grebogi:
Signatures of fractal clustering of aerosols advected under gravity. Physical Review E 75, 065203 (2007).
Dissertations:
Altmann, E. G.:
Intermittent chaos in hamiltonian dynamical systems.
Doktorarbeit, Bergische Universitaet, Wuppertal (2007).
2006
Albeverio, S., V. Jentsch and H. Kantz (Eds.):
Extreme events in nature and society. Berlin : Springer, 2006. XV, 352 S.
Altmann, E.G., S. Hallerberg and H. Kantz:
Reactions to extreme events: Moving threshold model. Physica A 364, 435 - 444 (2006).
Altmann, E.G., G. Cristadoro and D. Pazo:
Nontwist non-Hamiltonian systems. Physical Review E 73, 056201 (2006).
Altmann, E.G., A.E. Motter and H. Kantz:
Stickiness in Hamiltonian systems: From sharply divided to hierarchical phase space. Physical Review E 73, 026207 (2006).
Artuso, R., L. Cavallasca and G. Cristadoro:
Recycling Parrondo games. Journal of Physics A 39, 1285 - 1295 (2006).
Baba, N., W. Just, H. Kantz and A. Riegert:
Accuracy and efficiency of reduced stochastic models for chaotic Hamiltonian systems with
time-scale separation. Physical Review E 73, 066228 (2006)
Barreira, L. and K. Gelfert:
Multifractal analysis for Lyapunov exponents on non-conformal repellers. Communications in
Mathematical Physics 267, 393 - 418 (2006).
Cristadoro, G.:
Fractal diffusion coefficient from dynamical zeta functions. Journal of Physics A 39, L151 - L157 (2006).
Kantz, H., E. Altmann, S. Hallerberg, D. Holstein and A. Riegert:
Dynamical interpretation of extreme events: Predictions and predictability.
In: Extreme Events in Nature and Society. Ed. by S. Albeverio [u.a.] Berlin : Springer, 2006. S. 69 - 93.
Kantz, H.:
Extreme events in nature - a challenge to the understanding of complex dynamics. International Journal of
Ecodynamics 1, 173 - 185 (2006).
Vitanov, N.K., Z.I. Dimitrova and H. Kantz:
On the trap of extinction and its elimination. Physics Letters A 349, 350 - 355 (2006).
Vitanov, N.K., K. Tarnev, H. Kantz:
Hölder-exponent-based test for long-range correlations in pseudorandom sequences. Journal
of Theoretical Applied Mechanics (Sofia) 36, 47 - 64 (2006).
Vitanov, N.K. and E.D.Yankulova:
Multifractal analysis of the long-range correlations in the cardiac dynamics of
Drosophila melanogaster . Chaos Solitons and Fractals 28, 768 - 775 (2006).
Pazo, D. and M.A. Matias:
Comment on “Periodic synchronization in coupled chaotic oscillators“. Physical Review E 73, 038201 (2006).
Pazo, D. and E. Montbrio:
Universal behavior in populations composed of excitable and self-oscillatory elements. Physical Review E 73, 055202 (2006).
Sanchez, E., D. Pazo and M.A. Matias:
Experimental study of the transitions between synchronous chaos and a period rotating wave. Chaos 16, 033122 (2006).
2005
Altmann, E.G. and H. Kantz:
Recurrence time analysis, long-term correlations, and extreme events. Physical Review E 71, 056106 (2005).
Altmann, E.G., A.E. Motter and H. Kantz:
Stickiness in mushroom billiards. Chaos 15, 033105 (2005).
Benczik, I.J.:
Discrete time model for chemical or biological decay in chaotic flows: Reentrance phase transitions. Physical Review E 71,
066205 (2005).
Benczik, I., Z. Neufeld and T. Tél:
Multifractal spectra of chemical fields in fluid flows. Physical Review E 71, 016208 (2005).
Boichenko, V.A., G.A. Leonov and V. Reitmann:
Dimension theory for ordinary differential equations. Stuttgart : Teubner, 2005 441 S.
de Wijn, A.S.:
Kolmogorov-Sinai entropy for dilute systems of hard particles in equilibrium. Physical Review E 71, 046211 (2005).
de Wijn, A.S.:
Lyapunov spectra of billiards with cylindrical scatterers: Comparison with many-particle systems. Physical
Review E 72, 026216 (2005).
Facchini, A., H. Kantz and E. Tiezzi:
Recurrence plot analysis of nonstationary data: The understanding of curved patterns. Physical Review E 72, 021915 (2005).
Gelfert, K.:
Dimension estimates beyond conformal and hyperbolic dynamics. Dynamical Systems 20, 267 - 280 (2005).
Hallerberg, S., W. Just W. and G. Radons:
Analytic properties of the Ruelle ζ-function for mean field models of phase transition. Journal of Physics
A 38, 5097 - 5109 (2005).
Kantz, H., D. Holstein, M. Ragwitz and N.K. Vitanov:
Predicting probability for stochastic processes with local Markov property. In: Progress in Turbulence.
Eds. J. Peinke [u.a.] Berlin : Springer, 2005.S. 95 - 98.
Kantz, H. and V. Reitmann:
Determining functionals for bifurcations on a finite-time interval in variational inequalities. In: EQUADIFF 2003.
Ed. by F. Dumortie. Singapore : World Scientific, 2005. S.1098 -1100.
Lai, Y.C., A. Motter, T. Nishikawa, K. Park and L. Zhao:
Complex networks: Dynamics and security. Pramana 64, 483 - 502 (2005).
Motter, A.E., A.P.S. de Moura, C. Grebogi and H. Kantz:
Effective dynamics in Hamiltonian systems with mixed phase space. Physical Review E 71, 036215 (2005).
Motter, A.E., C.S. Zhou and J. Kurths:
Enhancing complex-network synchronization. Europhysics Letters 69, 334 - 340 (2005).
Motter, A.E., C.S. Zhou and J. Kurths:
Network synchronization,diffusion, and the paradox of heteerogeneity. Physical Review E 71,016116 (2005).
Motter, A.E., C.S. Zhou and J. Kurths:
Weighted networks are more synchronizable: how and why. In: Science of complex networks. Ed. J. F. F. Mendes. Melville,
N.Y. : American Institute of Physics, 2005. S. 201- 214.
Pazó, D.:
Thermodynamic limit of the first-order phase transition in the Kuramoto model. Physical Review E 72, 046211 (2005).
Pazó, D., R.R. Deza and V. Pérez-Muñuzuri:
Parity-breaking front bifurcation in bistable media: link between discrete and continuous versions. Physics Letters A
340, 132 - 138 (2005).
Pineda, M. and M.G. Cosenza:
Synchronization in driven versus autonomous coupled chaotic maps. Physical Review E 71, 057201 (2005).
Reitmann, V. and H. Kantz:
Generic analytical embedding methods for nonstationary systems based on control theory. In: Proceedings:2005
International Conference Physics and Control. Ed. A.L. Fradkov. Piscataway, NJ : IEEE Service Center, 2005. S. 425 - 428.
Riegert, A., N. Baba, K. Gelfert, W. Just and H. Kantz:
Hamiltonian chaos acts like a finite energy reservoir: Accuracy of the Fokker-Planck approximation. Physical
Review Letters 94, 054103 (2005).
Santhanam, M.S. and H. Kantz:
Long-range correlations and rare events in boundary layer wind fields. Physica A 345, 713 - 721 (2005).
Urbanowicz, K. and J.A. Hołyst:
Noise reduction for flows using nonlinear constraints. Acta Physica Polonica B 36, 2805 - 2820 (2005).
Urbanowicz, K., H. Kantz and J.A. Hołyst:
Anti-deterministic behaviour of discrete systems that are less predictable than noise.Physica A 350, 189 - 198 (2005).
Vitanov, N.K.:
Numerical upper bounds on convective heat transport in a layer of fluid of finite Prandtl number: Confirmation of Howard's
analytical asymptotic single-wave-number bound. Physics of Fluids 17,105106 (2005).
2004
Dimitrova, Z.I. and N. K. Vitanov:
Chaotic pairwise competition. Theoretical Population Biology 66, 1-12 (2004).
Emmerich, H., M. Jurgk and R. Siquieri:
Multiscale simulations of micro-structure selection in binary alloy solidification. physica status solidi b 241, 2128 - 2135 (2004).
Juarez, L.H., H. Kantz, O. Martinez, E. Ramos and R. Rechtman:
Complex dynamics in simple systems with periodic parameter oscillations. Physical Review E 70, 056202 (2004).
Kaiser, A. and T. Schreiber:
Nonparametric detection of dependences in stochastic point processes. International Journal of Bifurcation and Chaos 14, 1987 - 1993 (2004).
Kantz, H., D. Holstein, M. Ragwitz and N.K. Vitanov:
Extreme Events in Surface Wind: Predicting Turbulent Guts. In: Experimental Chaos. Ed. S. Boccaletti. New York: American
Institute of Physics,2004 S. 315 - 324.
Kantz, H., D. Holstein, M. Ragwitz and N.K. Vitanov:
Markov chain model for turbulent wind speed data. Physica A 342, 315 - 321 (2004).
Kantz, H., W. Just, N. Baba, K. Gelfert and A. Riegert:
Fast chaos versus white noise: entropy analysis and a Fokker-Planck model for the slow dynamics. Physica D 187, 200 - 213 (2004).
Kantz, H. and M. Ragwitz:
Phase space reconstruction and nonlinear predictions for stationary and nonstationary Markovian processes.
International Journal of Bifurcation and Chaos 14, 1935 -1945 (2004).
Kantz, H. and T. Schreiber:
Nonlinear Time Series Analysis. 2. Aufl. Cambridge: Cambridge Univ. Press, 2004. 369 S.
Kleiner, M., R. Göbel, C. Klimmek, B. Heller, V. Reitmann and H. Kantz:
Wrinkling in Shett Metal Spinning. In: Nonlinear dynamics of production systems. Ed. G. Radons. Weinheim : Wiley-VCH, 2004. S. 287
- 303.
Motter, A.E.:
Cascade Control dend Defense in Complex Networks. Physical Review Letters 93, 098701 (2004).
Reitmann, V.:
Dynamical Systems and Chaos. In: Handbook of Mathematics. Ed. I. Bronshtein. Berlin: Springer, 2004. S. 795 - 843.
Reitmann, V. and H. Kantz:
Frequency domain conditions for the existence of almost periodic solutions in evolutionary variational
inequalities. Stochastics and Dynamics 4, 483 - 499 (2004).
Santhanam, M.S.:
Entropic uncertainty relations for the ground state of a coupled
Santhanam, M.S. and H. Kantz:
Random matrix approach to multivariate correlations: Some limiting cases. Physical Review E 69, 056102 (2004).
Tel, T., T. Nishikawa, A.E. Motter, C. Grebogi and Z. Totoczkai:
Universality in active chaos. Chaos 14, 72 - 78 (2004).
2003
Boeck, T., M. Jurgk and U. Bahr:
Oscillatory Rayleigh-Marangoni convection in a layer heated from above: Numerical simulations with an
undeformable free surface. Physical Review E 67, 027303 (2003).
Ferretti Manffra, E., H. Kantz and M. Ragwitz:
Genetic distance in sequence space of evolving populations. Complexity 8, 51-56 (2003).
Gelfert, K.:
Lower estimates of the topological entropy for dynamical systems on Riemannian Manifolds. In: Progress in analysis: proceedings
of the 3rd International ISAAC Berlin 2001. Ed. by H.G.W. Begehr. Singapore: World Scientific, 2003 S. 535 - 544
Gelfert, K.:
Maximum local Lyapunov dimension bounds the box dimension. Direct proof for invariant sets on Riemannian manifolds.
Zeitschrift für Analysis und ihre Anwendungen 22, 553-568 (2003).
Hegger, R., H. Kantz, L. Matassini and M. Ragwitz:
Time series analysis in reconstructed state spaces. In: From quanta to societies. Ed. W. Klonowski. Lengerich: Pabst Science Publ.,
2003. S. 130 - 150.
Hernandez-Cruz, G., H. Kantz, T. Letz, M. Ragwitz, E. Ramos and R. Rechtman:
Noise-induced fluctuations of period lengths of stable periodic orbits. Physical Review E 67, 036210 (2003).
Just, W., K. Gelfert, N. Baba, A. Riegert and H. Kantz:
Elimination of fast chaotic degrees of freedom: On the accuracy of the born approximation. Journal of
Statistical Physics 112, 277 - 292 (2003).
Just, W., H. Kantz, M. Ragwitz and F. Schmüser:
Nonequilibrium physics meets time series analysis: Measuring probability currents from data. Europhysics Letters 62, 28-34 (2003).
Kantz, H.:
Robustness versus Sensitivity - Can Biological Systems Behave Chaotically? Nova Acta Leopolodina NF 88, 245-253 (2003).
Kim, J.W. and H. Kantz:
Effects of random noise on a simple class of growing network models. Physical Review E 68, 026110 (2003).
Matassini, L. and G. Cuniberti:
On the three body behavior of foreign exchange markets (vol 308, pg 402, 2002). Physica A 318, 638 (2003).
Motter, A.E.:
Relativistic chaos is coordinate invariant. Physical Review Letters 91, 231101 (2003).
Motter, A.E., Y.C. Lai and C. Grebogi:
Reactive dynamics of inertial particles in nonhyperbolic chaotic flows. Physical Review E 68, 056307 (2003).
Motter, A.E., T. Nishikawa and Y.C. Lai:
Large-scale structural organization of social networks. Physical Review E 68, 036105 (2003).
Vitanov, N.K.:
Convective heat transport in a rotating fluid layer of infinite Prandtl number: Optimum fields and upper bounds on Nusselt
number. Physical Review E 67, 026322 (2003).
Waechter, M., F. Riess, H. Kantz and J. Peinke:
Stochastic analysis of surface roughness. Europhysics Letters 64, 579-585 (2003).
2002
Boeck, T. and N.K. Vitanov:
Low-dimensional chaos in zero-Prandtl-number Benard-Marangoni convection. Physical Review E 65,
037203 (2002).
Boffetta, G., M. Cencini and J. Davoudi:
Closure of two-dimensional turbulence: The role of pressure gradients. Physical Review E 66,
017301 (2002).
Boffetta, G., M. Cencini, M. Falcioni and A. Vulpiani:
Predictability: a way to characterize complexity. Physics Reports 356, 367-474 (2002).
Ferretti Manffra, E., W. Just and H. Kantz:
Invariant densities of delayed maps in the limit of large time delay. Physical Review E 65,
016211 (2002).
Kaiser, A. and T. Schreiber:
Information transfer in continuous processes. Physica D 166, 43-62 (2002).
Kantz, H. C. Grebogi, A. Prasad, Y.C. Lai and E. Sinde:
Unexpected robustness against noise of a class of nonhyperbolic chaotic attractors. Physical Review E 65, 026209 (2002).
Kleiner, M., R. Göbel, H. Kantz, C. Klimmek and W. Homberg:
Combined methods for the prediction of dynamic instabilities in sheet metal spinning. CIRP Annals 51, 209 - 214 (2002).
Matassini, L.:
On the rigid body behavior of foreign exchange markets. Physica A 308, 410 (2002).
Matassini, L., H. Kantz, H. Holyst and R. Hegger:
Optimizing of recurrence plots for nose reduction. Physical Review E 65, 021102 (2002).
Matassini, L. and C. Manfredi:
Noise reduction for vocal pathologies. Medical Engineering and Physics 24, 547-552 (2002).
Matassini, L. and C. Manfredi:
Software corrections of vocal disorders. Computer Methods and Programs in Biomedicine 68, 135-145 (2002).
Ragwitz, M., C.N. Baroud, B.B. Plapp and H.L. Swinney:
Nonlinear determinism in time series measurements of two-dimensional turbulence. Physica D 162, 244-255 (2002).
Ragwitz, M. and H. Kantz:
Comment on ’Indispensable finite time corrections for Fokker-Planck equations from time series data’
- Reply. Physical Review Letters 89, 149402 (2002).
Ragwitz, M. and H. Kantz:
Markov models from data by simple nonlinear time series predictors in delay embedding. Physical Review E 65,
056201 (2002).
Schmüser, F. and B. Schmittmann:
Non-equilibrium stationary state of a two-temperature spin chain. Journal of Physics A 35, 2569-2580 (2002).
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