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Systematic treatment of fluctuations in a nonlinear oscillator

Citations

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  1. Dekker, H., 1987. "Quantum coherence and tunnelling in a double-well potential in a thermal environment: Dynamics of the weakly coupled spin-boson system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(2), pages 453-480.
  2. Marshall, T.W., 1980. "Brownian motion and quasi-Markov processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(1), pages 172-182.
  3. Mohanty, U. & Shuler, K.E. & Oppenheim, I., 1982. "On the exact and phenomenological Langevin equations for a harmonic oscillator in a fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 1-20.
  4. Wulbrand, Wilhelm & Kagermann, Henning, 1985. "The influence of random temperature modulation on the convective instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 182-196.
  5. Henery, R.J., 1982. "The short-time evolution of a non-linear oscillator driven by white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 321-330.
  6. Chechetkin, V.R. & Lutovinov, V.S. & Samokhin, A.A., 1991. "On the diffusion of passive impurities in random flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 87-113.
  7. Helbing, Dirk, 1992. "Interrelations between stochastic equations for systems with pair interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 29-52.
  8. Dykman, M.I. & Krivoglaz, M.A., 1980. "Time correlation functions and spectral distributions of the duffing oscillator in a random force field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 495-508.
  9. Williams, M.M.R., 1984. "The influence of random fluctuations on the behaviour of an aerosol," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(1), pages 105-123.
  10. West, B.J. & Bulsara, A.R. & Lindenberg, K. & Seshadri, V. & Shuler, K.E., 1979. "Stochastic processes with non-additive fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(2), pages 211-233.
  11. Roerdink, J.B.T.M, 1982. "A cumulant expansion for the time correlation functions of solutions to linear stochastic differential equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 557-587.
  12. Roerdink, J.B.T.M., 1981. "Inhomogeneous linear random differential equations with mutual correlations between multiplicative, additive and initial-value terms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(1), pages 23-57.
  13. Javier Vitela, E. & Ziya Akcasu, A., 1990. "A test particle approach in the stochastic stability analysis of charged particle beams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 427-457.
  14. Brey, J.J. & Casado, J.M. & Morillo, M., 1984. "On the dynamics of a stochastic nonlinear mean-field model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(3), pages 497-508.
  15. Belyi, V.V. & Klimontovich, Yu.L., 1979. "On the kinetic theory of Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(3), pages 577-588.
  16. Gómez-Ordóñez, J. & Morillo, M., 1992. "Numerical analysis of the Smoluchowski equation using the split operator method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(4), pages 490-507.
  17. Stewart, Glen R., 1982. "Long-time behavior of a non-Markovian Brownian oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 519-530.
  18. Kotulski, Z. & Sobczyk, K., 1984. "Characteristics functionals of randomly excited physical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 261-278.
  19. Köster, Bernd & Kagermann, Henning, 1985. "Memory effects in the motion of nonspherical Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 157-181.
  20. Das, Amal K., 1979. "Stochastic diffusion in a periodic potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(3), pages 528-544.
  21. Chvosta, Petr, 1991. "Exact solution of a stochastic dimer problem with single-site energy modulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(1), pages 168-194.
  22. Moreau, M. & Vicente, L., 1982. "Influence of an external field on the stochastic theory of polymerization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 543-559.
  23. Van Den Broeck, C. & Sancho, J.M. & San Miguel, M., 1982. "Harmonically bound Brownian motion in flowing fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 448-461.
  24. Gorini, Vittorio & Verri, Maurizio & Frigerio, Alberto, 1989. "Non-markovian behavior in low-temperature damping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 161(2), pages 357-384.
  25. Kagermann, H., 1981. "Stochastic equations arising from test particle problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(3), pages 365-379.
  26. Brey, J.J. & Casado, J.M. & Morillo, M., 1985. "Local equilibrium approximation for a nonlinear Fokker-Planck model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(1), pages 190-198.
  27. Görtz, R., 1978. "A connection between deterministic motion and the steady-state probability distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(2), pages 360-363.
  28. West, Bruce J. & Lindenberg, Katja & Seshadri, V., 1980. "Brownian motion of harmonic systems with fluctuating parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(3), pages 470-488.
  29. Gang, Hu, 1985. "Master equation without strict detailed balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 586-592.
  30. Möbius, A. & Vojta, G., 1978. "Statistical theory of electron transport in open electron-phonon systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 94(2), pages 321-338.
  31. Brey, J.J. & Casado, J.M. & Morillo, M., 1984. "Renormalized equations for a weakly nonlinear Duffing oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 481-496.
  32. Moreau, M. & Vicente, L., 1982. "On the stochastic theory of polymerization reactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(1), pages 139-160.
  33. Garrido, L. & Sancho, J.M., 1982. "Ordered cumulant technique and differential equations for probability density," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 479-489.
  34. Bobryk, Roman V., 1992. "Comparison of some approaches for analysis of stochastic systems with short correlation time noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(3), pages 458-476.
  35. Lemarchand, H., 1980. "Asymptotic solution of the master equation near a nonequilibrium transition: The stationary solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 518-534.
  36. Dekker, H., 1980. "On the path integral for diffusion in curved spaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 586-596.
  37. Dekker, H., 1980. "Critical dynamics the expansion of the master equation including a critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(1), pages 80-98.
  38. Lindenberg, Katja & West, Bruce J., 1984. "Finite correlation time effects in nonequilibrium phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 25-47.
  39. Barcons, F.X. & Garrido, L., 1983. "Systems under the influence of white and colored poisson noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(1), pages 212-226.
  40. Altenberger, A.R., 1978. "On the theory of generalized diffusion processes in many-particle systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 391-409.
  41. Janssen, J.A.M., 1986. "On the extraction of slow motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(3), pages 477-501.
  42. Akcasu, A.Ziya & Hammouda, Boualem, 1985. "Motion of a charged particle in a randomly varying magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(3), pages 485-505.
  43. Kondepudi, D.K. & Nelson, G.W., 1984. "Chiral-symmetry-breaking states and their sensitivity in nonequilibrium chemical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(2), pages 465-496.
  44. Dekker, H., 1991. "Multisite spin hopping analysis of multilevel dissipative quantum tunneling and coherence at finite temperatures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(2), pages 289-331.
  45. Shapiro, V.E. & Loginov, V.M., 1978. "“Formulae of differentiation” and their use for solving stochastic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(3), pages 563-574.
  46. Mangel, Marc, 1979. "Uniform treatment of fluctuations at critical points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(3), pages 597-615.
  47. Seshadri, V. & Lindenberg, Katja, 1982. "Dissipative contributions of internal multiplicative noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 501-518.
  48. Keizer, Joel & Medina-Noyola, Magdaleno, 1982. "Spatially nonlocal fluctuation theories: Hydrodynamic fluctuations for simple fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 301-338.
  49. Lyklema, J.W., 1979. "Computer simulations of a rough sphere fluid II comparison with stochastic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 96(3), pages 594-605.
  50. Dekker, H., 1980. "Critical dynamics the expansion of the master equation including a critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(1), pages 55-79.
  51. Kagermann, H., 1982. "Stochastic equations arising from test particle problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 199-206.
  52. Roerdink, J.B.T.M., 1983. "Approximate solution methods for linear stochastic difference equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 120(1), pages 153-177.
  53. Golynski, S.M., 1990. "Diffusion approximation in space-time geometrical optics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 163(2), pages 723-732.
  54. Hu, Gang, 1986. "The system-size expansion of the potential of a master equation without detailed balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(2), pages 607-616.
  55. Papież, Lech, 1983. "The limit diffusion mechanism of relaxation for spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 122(3), pages 413-430.
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