Wissenschaftliche Publikationen (Auswahl) / Selected scientific publications / Selección de publicaciones científicas

Prof. Dr. M. Markus


1. K. Huebner, H. Zuber and M. Markus, "Some remarks on the z-pinch onset in an electron-hole-plasma in n-InSb", Phys. Lett. 25A, 62-64 (1967)

4. M. Markus and K. Huebner, "Determination of the time evolution of the z-pinch in n-InSb from conductivity measurements", Phys. Lett. 29A, 392-393 (1969)

7. M. Markus and K. Huebner, "Sausage instability of the z-pinch in n-InSb", Zeitschrift fuer Physik B21, 333-337 (1975)

8. M. Markus and Th. Plesser, "Design and analysis of progress curves in enzyme kinetics", Biochemical Society Transactions 4, 361-364 (1976)

11. R. Korenstein, B. Hess and M. Markus, "Cooperativity in the photocycle of purple membrane of Halobacterium halobium with a mechanism of free energy transduction", FEBS Lett. 102(1), 155-161 (1979)

12. M. Markus, Th. Plesser, A. Boiteux, B. Hess and M. Malcovati, "Analysis of progress curves: Rate law of pyruvate kinase type I from Escherichia coli", Biochem. J. 189, 421-433 (1980)

15. M. Markus, Th. Plesser and M. Kohlmeier, "Analysis of progress curves in enzyme kinetics: bias and convergent set in the differential and in the integral method", Journal of Biochemical and Biophysical Methods 4, 81-90 (1981)

16. A. Boiteux, M. Markus, Th. Plesser, B. Hess and M. Malcovati,"Analysis of progress curves: Interaction of pyruvate kinase from Escherichia coli with fructose 1,6-bisphosphate and calcium ions", Biochem. J. 211, 631-640 (1983)

17. M. Markus and Th. Plesser, "Free energy dissipation of the pyruvate kinase reaction has a minimum at cell metabolite concentrations",Biophysical  Chemistry 18, 349-352 (1983)

20. M. Markus and B. Hess, "Transitions between oscillatory modes in a glycolytic model system", Proc. Natl. Acad. Sciences USA 81, 4394-4398 (1984)

21. M. Markus, D. Kuschmitz and B. Hess, "Chaotic dynamics in yeast glycolysis under periodic substrate input flux", FEBS Lett. 172, 235-238 (1984)

25. B. Hess and M. Markus, "The diversity of biochemical time patterns", Ber. Bunsenges. Phys. Chem. 89, 642-651 (1985)

26. M. Markus, S.C. Müller and B. Hess "Observation of Entrainment, Quasiperiodicity and Chaos in Glycolyzing Yeast Extracts under Periodic Glucose Input", Ber. Bunsenges. Phys. Chem. 89, 651-654 (1985)

27. M. Markus, D. Kuschmitz and B. Hess, "Properties of strange attractors in yeast glycolysis", Biophysical Chemistry 22, 95-105 (1985)

32. M. Markus and B. Hess, "Order and chaos in biochemistry", Trends in Biochemical Sciences 12, 45-48 (1987)

39. M. Markus, S. Mueller, T. Plesser and B. Hess, "On the recognition of  order and disorder", Biological Cybernetics, 57, 187-195 (1987)

44. M. Markus, S.C. Mueller and G. Nicolis (eds.), "From chemical to biological organization", Springer-Verlag, Heidelberg (1988)

47. J. Roessler, M. Kiwi, B. Hess and M. Markus, "Modulated non-linear processes and a novel mechanism to induce chaos", Phys. Rev. A 39, 5954-5960 (1989)

48. M. Markus and B. Hess, "Lyapunov exponents of the logistic map with periodic forcing", Computer and Graphics 13, 553-558 (1989). In the web.

53. O. Maldonado, M. Markus and B. Hess, "Coexistence of attractors and hysteresis jumps in a chaotic spinning top", Physics Lett. 144, 153-158 (1990)

57. M. Markus, "Chaos in maps with continuous and discontinuous maxima", Computers in Physics, 481-493 and cover (1990)

58. M. Markus and B. Hess, "Isotropic cellular automaton for modelling excitable media", Nature 347, 56-58 and cover (1990)

59. M. Markus, "Modelling morphogenetic processes in excitable tissues using novel cellular automata". Biomed. Biochim. Acta 49, 681-696 (1990)

66. M. Markus, "Unvorhersagbarkeit in einer deterministischen Welt: Der Tod des Laplaceschen Daemons", in 'Uni-Report 13' (ed. by Rektorat der Universitaet Dortmund 1991), pp. 15-20

67. A. Holden, M. Markus and H. Othmer (eds.), "Nonlinear Wave Processes in Excitable Media", Plenum Press, New York (1991)

69. M. Markus, Zs. Nagy-Ungvarai and B. Hess, "Phototaxis of spiral waves", Science 257, (1992), pp. 225-227

70. H. Schepers and M. Markus, "Two Types of Performance of an Isotropic Cellular Automaton: Stationary (Turing) Patterns and Spiral Waves", Physica A 188 (1992), pp. 337-343

71. M. Markus, "Are 1D-Maps of Any Practical Use in Ecology?" Ecological Modelling 63 (1992), pp. 243-259

76. D. Ruwisch, M. Bode, P. Schuetz and M. Markus, "Parallel analogue computation of coupled cell cycles with electrical oscillators", Phys. Lett. A 186 (1994),p. 137-144

79. M. Markus and K. Stavridis, "Wavefront deformations in excitable media: chemical lenses and ripples", Phil. Trans. Roy. Soc. A 347 (1994), pp. 601-605

83. M. Markus and K. Stavridis, "Observation of chemical turbulence in the Belousov-Zhabotinsky reaction", Journal of Bifurcation and Chaos 4, 1233-1243 (1994)

84. M. Markus, G. Kloss and I. Kusch, "Disordered waves in an homogeneous, motionless excitable medium", Nature 371, 402-404 (1994)

85. M. Markus, "Lyapunow-Diagramme", Spektrum der Wissenschaft, April, 66-73 (1995)

86. M. Bode, D. Ruwisch, S. Schuetz, M. Alonso, V. Perez-Munuzuri, V. Perez-Villar and M. Markus, "Parallel analog computation of coupled biological oscillators", Journal of Biological Systems 3, 81-93 (1995)

88. M. Markus and I. Kusch, "Cellular automata for modelling the shell pigmentation of molluscs", Journal of Biological Systems 3, 999-1011 (1995)

89. I. Kusch and M. Markus, "Mollusc shell pigmentation: cellular automaton simulations and evidence for undecidability", Journal of theoretical Biology 178, 333-340 (1996)

91. M. Markus, I. Kusch, A. Ribeiro and P. Almeida, "Class IV behavior in cellular automata models of physical systems", Int. J. Bifurcation & Chaos 6, 1817-1827 (1996)

92. A.P. Munuzuri and M. Markus, "Cellular Automata Model and Measurements of Autowave splitting", Int. J. Bifurcation & Chaos 6, 1837-1844 (1996)

95. A.P. Munuzuri and M. Markus, "Simplest optical feedback loop: excitation waves and their mirror image", Physical Review E 55, 33-35 (1997)

96. M. Markus, T. Hahn and I. Kusch, "A novel quantification of cellular automata", J. Parallel Comp. 23, 1635-1642 (1997)

97. M. Markus, T. Schulte and A. Czajka, "Disordered waves in an excitable medium consisting of two layers: catalytic gel and non-catalytic solution", Physical Review E 56, 1-4 (1997)

98. A. P.-Munuzuri, V. Perez-Villar and M. Markus, "Splitting of autowaves in an active medium", Phys. Rev. Lett. 79, 1941-1944 (1997)

99. V. Perez-Munuzuri, V. Perez-Villar, L.O. Chua and M. Markus (Eds.), "Discretely-coupled Dynamical Systems", World Scientific, Singapore (1997)

100. M. Markus and A. Czajka, "Oxygen-induced wavefront instabilities and disorder in the Belousov-Zhabotinsky reaction", Chem. Phys. Lett. 289, 35-40 (1998)

104. M. Markus, D. Boehm and M. Schmick, "Simulations of vessel morphogenesis using cellular automata", Mathematical Biosciences 156, 191-206 (1999)

105. M. Woltering, R. Girnus and M. Markus, "Quantification of turbulence in the Belousov-Zhabotinsky reaction by monitoring wave tips", J. Phys. Chem. A 103, 4034-4037 (1999)

106. M. Markus, "The BZ reaction as 'analog computer' for ubiquitous excitable media", Chem. Intelligencer 5(3), 48-50 (1999)

107. M. Woltering and M. Markus, "Riddled basins of coupled elastic arches", Phys. Lett. A 260, 453-461 (1999)

108. K. Koetter, E. Goles and M. Markus, "Shell structures with 'magic numbers' of spheres in a swirled dish", Phys. Rev. E 60, 7182-7185 (1999)

110. M. Woltering and M. Markus, "Riddled-like basins of transient chaos", Phys. Rev. Lett. 84(4), 630-633 (2000)

111. M. Markus, "A scientist's adventures in Postmodernism", Leonardo 33(3), 179-186 (2000). In the web.

113. M. Scherer, K. Koetter, M. Markus, E. Goles and I. Rehberg, "Swirling granular solidlike clusters", Phys. Rev. E 61, 4069 (2000)

114. M. Markus and K. Koetter,"Die Salzfinger von Gibraltar auf dem Labortisch", UNI-Report 30, Univ. Dortmund, 54-55 (2000)

115. M. Woltering and M. Markus, "Riddled basins of the Belousov-Zhabotinsky reaction", Chem. Phys. Lett. 321 (5-6), 473-478 (2000)

116. M. Schmick, E. Goles and M. Markus, "Intermingled basins due to finite accuracy", Phys. Rev. E 62, 397-401 (2000)

117. M. Grewe and M. Markus, "Aggregation of the green alga Pediastrum: experiments and simulations", J. biol. Systems 8, 373-398 (2000)

118. E. Goles, O. Schulz and M. Markus, "A biological generator of prime numbers", Nonlinear Phenom. in Compl. Syst. 3, 208-213 (2000). In the web.

119. E. Goles, O. Schulz and M. Markus, "Prime number selection of cycles in a predator-prey model", Complexity 6, 33-38 (2001)

120. M. Markus and K. Koetter, "Of icebergs and coffee creamers", Education in Chemistry, July, 108 (2001)

121. K. Koetter and M. Markus, "Double-diffusive fingering instability of a surfactant-glycerine-water drop in water", Europhys. Lett. 55, 807-813 (2001)

122. M. Woltering and M. Markus, "Oscillations and turbulence induced by an activating agent in an active medium", Phys. Rev. E 64, 045601/1-4 (2001)

123. K. Koetter, M. Schmick and M. Markus, "Self-confinement into a Plane and Stability Enhancement of Double-Diffusive Fingering", Nonlinear Phenomena in Complex Systems 4, 322-332 (2001)

124. M. Markus, K.Koetter, M. Schmick, M. Grewe and E. Goles, "Selforganization of interacting, round particles into symmetric or asymmetric aggregates", in: 'Symmetry 2000' (I. Hargittai & T. Laurent, eds.), Portland Press, London, 377-398 (2002)

125. M. Markus, O. Schulz and E. Goles, "Prey population cycles are stable in an evolutionary model if and only if their periods are primes", Science Asia 28, 199-203 (2002)

126. M. Woltering and M. Markus, "Control of Spatiotemporal Disorder in an Excitable Medium", Science Asia 28, 43-48 (2002)

127. K. Koetter and M. Markus, "Scaling Laws for the Wavelength and the Appearance Time of Cells Resulting from Double-Diffusive Convection", Science Asia 28, 49-54 (2002)

128. M. Markus and E. Goles, "Cicadas showing up after a prime number of years", Math. Intelligencer 24, 30-33 (2002)

129. M. Woltering and M. Markus, "Turbulence control by wave splitting in excitable media", Phys. Lett. A 297, 363-369 (2002)

130. M. Markus, "A Biological Generator of Prime Numbers", Max-Planck Research 2, 4-5 (2002)

131. M. Woltering and M. Markus, "Annihilation of turbulence in excitable systems using pulses that inhibit activator growth", Physica D 168/9, 23-34 (2002)

132. K. Koetter and M. Markus, "Power laws for sizes and growth times of double-diffusive convection cells", International Journal of Heat and Mass Transfer 45, 5045-5051 (2002)

133. M. Schmick, E. Goles and M. Markus, "On-off intermittency and intermingledlike basins in a granular medium", Phys. Rev. E 66, 066214/1-4 (2002).

134. A. Greilich and M. Markus, "Correlation of entropy with optimal pinning density for the control of spatiotemporal chaos". Nonlinear Phenomena in Complex Systems 6, 541-546 (2003). In the web.

135. D. Fischer, E. Goles and M. Markus, "Frieze-Generation Using Artificial Life". In: 'Isama-Bridges'. (Ed. by J. Barrallo, N. Friedman, R. Sarhangi, C. Séquin, J. Martínez and J.A. Maldonado), 151-160, University of Granada (2003).

136. K. Koetter, M. Schmick and M. Markus, "Transport Out of a Gravitationally Stable Layer with the Help of a Faster Diffusing Substance: PDE Simulations and Scaling Laws". In: Interface And Transport Dynamics. (Ed. by H. Emmerich, B. Nestler & M. Schreckenberg, 322-328), Springer, Berlin (2003).

137. M. Schmick and M. Markus, "Evidence for intermittency in a granular medium: experiments and simulations". Discrete Mathematics and Theoretical Computer Science AB, 1-10 (2003).

138. M. Markus and M. Schmick, "Intermittency in connected hamiltonian systems". Physica A 328, 335-340 (2003).

139. M. Markus, "Double-diffusive convection: a simple demonstration", J. Chem. Ed. 81, 526-529 (2004).

140. M. Schmick and M. Markus, "Fluctuation theorem for a deterministic one-particle system". Physical Review E 70, 065101 (2004).

141. M. Markus and K. Kötter, "Doppelt-diffusive Konvektion". Der mathematische und naturwissenschaftliche Unterricht 58, 24-28 (2005).

142. M. Markus, O. Schulz and E. Goles, Comment on "Emergence of Prime Numbers as the Result of Evolutionary Strategy". Physical Review Letters 95, 229891 (2005).

143. A. Greilich, M. Markus and E. Goles, "Control of spatiotemporal chaos: dependence of the minimum pinning distance on the spatial measure entropy". European Physical Journal D 33, 279-283 (2005).

144. B. Maiworm and M. Markus, "Mechanical oscillations of an oxidizing agent over a mercury surface". ScienceAsia 31, 329-333 (2005).

145. M. Markus, M. Schmick and E. Goles, "Hierarchy of Cellular Automata In Relation To Control Of Chaos Or Anticontrol". In: 'Complexus Mundi Emergent Patterns in Nature'. (Ed.) M. M. Novak, World Scientific, New Jersey, 2006, 297-304.

146. M. Markus, M. Schmick and E. Goles, "Tracks Emerging by Forcing Langton's Ant with Binary Sequences". Complexity 11 27-32 (2006).

147. S. Viridi, M. Schmick and M. Markus, " 'Granular Clock' and Full Segregation in a Shaken, Binary Granular Medium: Experiments and Simulations", Nonlinear Phenomena in Complex Systems 9, 352-359 (2006)

148. S. Viridi, M. Schmick and M. Markus, "Experimental observations of oscillations and segregation in a binary granular mixture", Physical Review E 74, 041301 (2006)

149. P. Grete and M. Markus, "Residence Time Distributions For Double-Scroll Attractors", International Journal of Bifurcation and Chaos 17, 1007-1015 (2007)

150. B. Maiworm, M. Schmick and M. Markus, "Transduction of electrochemical into mechanical oscillations", Physics Letters A 361, 488-492 (2007)

151. P. Grete and M. Markus, "Multipeaked probability distributions of recurrence times", Physical Review E 75, 036207 (2007)

152. M. Schmick, Q. Liu, Q. Ouyang, M. Markus, "Fluctuation theorem for a single particle in a moving billiard: Experiments and simulations", Physical Review E 76, 021115 (2007)

153. O. Schulz and M. Markus, "Velocity distributions of camphor particle ensembles", Journal of Physical Chemistry B 111, 8175-8178 (2007)

154. M. Schmick, A. Hasselhuhn, Q. Liu, Q. Ouyang and M. Markus, "The fluctuation Theorem in a Sinai-billiard geometry: Predictions and Measurements", Proceedings of the International Conference on Mathematics and Applications (ICMA 2007), Bangkok, pp. 39-44 (2007)

155. S. Viridi, P. Grete and M. Markus, "A minimal mechanical device displaying bona fide resonance", Physics Letters A 372, 1040-1043 (2008)

156. M. Schmick and M. Markus, "Gaussian Distribution if rotational velocities in a granular medium", Physical Review E78, 010302 (2008)

157. B. Zelinski, E. Goles and M. Markus, "Maximization of granular outflow by oblique exits and by obstacles", Physics of Fluids 21, 031701 (2009)

158. P. Grete and M. Markus, "Crisis induced intermittency in hamiltonian systems", International Journal of Bifurcation and Chaos 20, 1459-1466 (2010)

159. Mario Markus and Alfons Knauth, "Translations between Science and Poetry: Chemical Poems". In: Translational & Multilingual Literature, ed. by K. Alfons Knauth, LIT-Verlag, Münster, 333-346 (2012)


 
 
 
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