Institut für Theoretische Physik

Institut für Theoretische Physik Arbeitsgruppe Halbleiterphysik

Artikel aus der Zeit in Bremen (seit 1984)

Dissipative Systeme

P. H. Richter, Entrainment of chemical oscillators and resonance dissipation
Physica 10D (1984) 353-376

B. Eckhardt, P. H. Richter, Computation of bifurcation diagrams for Selkov's model of glycolytic oscillations
In: L. Rensing, N. I. Jäger, Temporal Order, pp. 197-201, Springer, Berlin 1985

M. Stadler, P. H. Richter, S. Pfaff, P. Kruse, Attractors and perceptual field dynamics of homogeneous stimulus areas
Psychological Res. 53 (1991) 102-112


Fraktale

H.-O. Peitgen, M. Prüfer, P. H. Richter, Phase transitions and Julia sets
Math. Research 23 (1985) 81 ff.; Proc. 5th Meeting UNESCO Working Group on Systems Theory 1984, Akademie-Verlag, Berlin

H.-O. Peitgen, P. H. Richter, Fraktale Strukturen, Mandelbrot-Menge und die Theorie der Phasenübergänge
Phys. Bl. 41 (1985) 19-20

H.-O. Peitgen, P. H. Richter, Fractals and phase transitions
Festkörperprobleme XXV (1985) 55-58

H.-O. Peitgen, P. H. Richter, The Mandelbrot set in a model for phase transitions
Lecture Notes in Math. 1111 (1985) 111-134

P. H. Richter, H.-O. Peitgen, Morphology of complex boundaries
Ber. Bunsenges. physik. Chemie 89 (1985) 571-588

H.-O. Peitgen, P. H. Richter, Fraktale und die Theorie der Phasenübergänge
Phys. Bl. 42 (1986) 9-22

H.-O. Peitgen, P. H. Richter, Phase transitions and complex dynamical systems
J. Non-Equilib. Thermodyn. 11 (1986) 243-246

 

Chaos

P. H. Richter, H.-J. Scholz, Chaos in classical mechanics: The double pendulum
in: P. Schuster (Ed.) Stochastic phenomena and chaotic behavior incomplex systems, pp. 86-97, Springer, Berlin 1984 PDF (4,6 MB)

H.-O. Peitgen, P. H. Richter, Homoclinic bifurcations in piecewise linear Hamiltonian maps
1983, unpublished

P. H. Richter, H.-J. Scholz, Das ebene Doppelpendel
Publ. Wiss. Film, Sekt. Techn. Wiss./ Naturw. 9/7-C 1574 (1986) 1-35, IWF Göttingen

P. H. Richter, H.-J. Scholz, The restricted three body problem
Wiss. Film C 1654 (1987), IWF Göttingen

P. H. Richter, H.-J. Scholz, A. Wittek, A breathing chaos
Nonlinearity 3 (1990) 45-67 PDF (13,3 MB)

C. Jung, P. H. Richter, Classical chaotic scattering - Periodic orbits, symmetries, multifractal invariant sets
J. Phys. A: Math. Gen. 23 (1990) 2847-2866 PDF (912 KB)

A. Paul, P. H. Richter, Application of Greene's method and the MacKay residue criterion to the double pendulum
Z. Phys. B93 (1994) 515-520

R. J. Mondragon C, P. H. Richter, Weak dissipation in a Hamiltonian map
Int. J. Bifurcation and Chaos 4 (1994) 921-932

H. R. Dullin, P. H. Richter, A. Wittek, A two-parameter study of the extent of chaos in a billiard system
Chaos 6 (1996) 43-58 PDF (15 MB)

P. H. Richter, Reguläre und chaotische Bewegung in der klassischen Mechanik
GAMM-Mitteilungen 22:1 (1999), 73-103 PDF (580 KB)

J. Skupin, E. Schubert, G. Sepold, H. Pleteit, P. H. Richter, Nichtlineare Effekte beim Hochgeschwindigkeits-Laserschweißen von Aluminium-Legierungen
in: Technische Anwendungen von Erkenntnissen der Nichtlinearen Dynamik, pp. 227-230, VDI-Verlag, 1999

A. Ohlhoff, P. H. Richter, Forces in the double pendulum
Z. angew. Math. Mech. 80:8 (2000), 517-534. PDF (2,4 MB)

P. H. Richter, Chaos in Cosmos
Rev. Mod. Astronomy 14 (2001), 53-92 PDF (9,3 MB)

H. R. Dullin, S. Schmidt, P. H. Richter, S. Grossmann, Extended phase diagram of the Lorenz system
Int. J. Bifurcation and Chaos 17:9 (2007) 3013-3033 PDF (1,6 MB)

J. Nagler, P. H. Richter, How random is dice tossing?
Phys. Rev. E 78:3 (2008) 036207 1-9 PDF (1,7 MB)


Integrable Hamiltonsche Systeme

P. H. Richter, A. Wittek, M. P. Kharlamov, A. P. Kharlamov, Action integrals for ellipsoidal billiards
Z. Naturforsch. 50a (1996) 693-710 PDF (396 KB)

J. Wiersig, P. H. Richter, Energy surfaces of ellipsoidal billiards
Z. Naturforsch. 51a (1996) 219-241 PDF (3 MB)

P. H. Richter, H. R. Dullin, H. Waalkens, J. Wiersig, Spherical pendulum, actions and spin
J. Chem. Phys. 100 (1996) 19124-19135 PDF (1,7 MB)

H. R. Dullin, P. H. Richter, A. P. Veselov, H. Waalkens, Actions of the Neumann systems via Picard-Fuchs equations
Physica D 155 (2001) 159-183 PDF (780 KB)

V. Z. Enolskii, P. H. Richter, Periods of hyperelliptic integrals expressed in terms of θ-constants by means of Thomae formulae
Theme Issue "30 Years of Finite Gap Integration" of Phil. Trans. R. Soc. A (2006) to appear PDF (300 KB)

V. Z. Enolskii, M Pronine, P. H. Richter, Double pendulum and θ-divisor
J. Nonlinear Sci. 13 (2003) 157-174 PDF (272 KB)

H. Waalkens, H. R. Dullin, P. H. Richter, The problem of two fixed centers: bifurcations, actions, monodromy
Physica D 196 (2004) 265-310 PDF (2,2 MB)

Dynamik starrer Körper

P. H. Richter, Die Theorie des Kreisels in Bildern
Rep. Nr. 226, pp. 1-92, Institut für Dynamische Systeme, Bremen 1990 PDF (3,9 MB)

H. R. Dullin, M. Juhnke, P. H. Richter, Action integrals and energy surfaces of the Kovalevskaya top
Int. J. Bifurcation and Chaos 4 (1994) 1535-1562 PDF (26,7 MB)

P. H. Richter, H. R. Dullin, A. Wittek, Kovalevskaya Top
Publ. Wiss. Film, Sekt. Techn. Wiss./ Naturw. 13-C 1961 (1997) 33-96, IWF Göttingen PDF (12,9 MB)

H. R. Dullin, P. H. Richter, A. P. Veselov, Action variables of the Kovalevskaya top
Regular and Chaotic Dynamics 3:3 (1998) 18-31 PDF (196 KB)

A. V. Bolsinov, P. H. Richter, A. T. Fomenko, The method of loop molecules and the topology of the Kovalevskaya top
Matem. Sbornik 191:2 (2000) 3-42, engl. transl. Sbornik: Mathematics 191:2, 151-188 PDF (612 KB)

I. N. Gashenenko, P. H. Richter, Enveloping surfaces and admissible velocities of heavy rigid bodies
Int. J. Bifurcation and Chaos 14:8 (2004) 2525-2553 PDF (1,1 MB)

P. H. Richter, Regular and chaotic rigid body dynamics
Nonlinear Phenomena in Complex Dynamics 9:2 (2006)115-124 PDF (1 MB)

S. Schmidt, H. R. Dullin, P. H. Richter, A Poincaré section for the general heavy rigid body
arXiv:0803.0076v1 [nlin.CD] 1 Mar 2008 PDF (570 KB)

P. H. Richter, Rigid body dynamics on the Poisson torus
in: Proc. 7th Int. Summer School/Conf. Let's face chaos through nonlinear dynamics, Maribor 2008, AIP Conf. Proc. 1076 175-184, ed. M. Robnik, V. G. Romanowski PDF (300 KB)