Academic literature on the topic 'Stochastic Fokker-Planck'
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Journal articles on the topic "Stochastic Fokker-Planck"
Liu, Chang, Chuo Chang, and Zhe Chang. "Distribution of Return Transition for Bohm-Vigier Stochastic Mechanics in Stock Market." Symmetry 15, no. 7 (July 17, 2023): 1431. http://dx.doi.org/10.3390/sym15071431.
Full textCoghi, Michele, and Benjamin Gess. "Stochastic nonlinear Fokker–Planck equations." Nonlinear Analysis 187 (October 2019): 259–78. http://dx.doi.org/10.1016/j.na.2019.05.003.
Full textChavanis, Pierre-Henri. "Generalized Stochastic Fokker-Planck Equations." Entropy 17, no. 5 (May 13, 2015): 3205–52. http://dx.doi.org/10.3390/e17053205.
Full textLin, Y. K., and G. Q. Cai. "Equivalent Stochastic Systems." Journal of Applied Mechanics 55, no. 4 (December 1, 1988): 918–22. http://dx.doi.org/10.1115/1.3173742.
Full textKOTELENEZ, PETER M. "A QUASI-LINEAR STOCHASTIC FOKKER–PLANCK EQUATION IN σ-FINITE MEASURES." Stochastics and Dynamics 08, no. 03 (September 2008): 475–504. http://dx.doi.org/10.1142/s021949370800241x.
Full textSun, Xu, Xiaofan Li, and Yayun Zheng. "Governing equations for probability densities of Marcus stochastic differential equations with Lévy noise." Stochastics and Dynamics 17, no. 05 (September 23, 2016): 1750033. http://dx.doi.org/10.1142/s0219493717500332.
Full textHirpara, Ravish Himmatlal, and Shambhu Nath Sharma. "An Analysis of a Wind Turbine-Generator System in the Presence of Stochasticity and Fokker-Planck Equations." International Journal of System Dynamics Applications 9, no. 1 (January 2020): 18–43. http://dx.doi.org/10.4018/ijsda.2020010102.
Full textAnnunziato, Mario, and Alfio Borzì. "OPTIMAL CONTROL OF PROBABILITY DENSITY FUNCTIONS OF STOCHASTIC PROCESSES." Mathematical Modelling and Analysis 15, no. 4 (November 15, 2010): 393–407. http://dx.doi.org/10.3846/1392-6292.2010.15.393-407.
Full textANNUNZIATO, M., and A. BORZI. "FOKKER–PLANCK-BASED CONTROL OF A TWO-LEVEL OPEN QUANTUM SYSTEM." Mathematical Models and Methods in Applied Sciences 23, no. 11 (July 23, 2013): 2039–64. http://dx.doi.org/10.1142/s0218202513500255.
Full textRENNER, CHRISTOPH, J. PEINKE, and R. FRIEDRICH. "Experimental indications for Markov properties of small-scale turbulence." Journal of Fluid Mechanics 433 (April 25, 2001): 383–409. http://dx.doi.org/10.1017/s0022112001003597.
Full textDissertations / Theses on the topic "Stochastic Fokker-Planck"
Adesina, Owolabi Abiona. "Statistical Modelling and the Fokker-Planck Equation." Thesis, Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-1177.
Full textGuillouzic, Steve. "Fokker-Planck approach to stochastic delay differential equations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ58279.pdf.
Full textNoble, Patrick. "Stochastic processes in Astrophysics." Thesis, The University of Sydney, 2013. http://hdl.handle.net/2123/10013.
Full textLi, Wuchen. "A study of stochastic differential equations and Fokker-Planck equations with applications." Diss., Georgia Institute of Technology, 2016. http://hdl.handle.net/1853/54999.
Full textMiserocchi, Andrea. "The Fokker-Planck equation as model for the stochastic gradient descent in deep learning." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18290/.
Full textЮщенко, Ольга Володимирівна, Ольга Владимировна Ющенко, Olha Volodymyrivna Yushchenko, Тетяна Іванівна Жиленко, Татьяна Ивановна Жиленко, and Tetiana Ivanivna Zhylenko. "Description of the Stochastic Condensation Process under Quasi-Equilibrium Conditions." Thesis, Sumy State University, 2012. http://essuir.sumdu.edu.ua/handle/123456789/34910.
Full textДенисов, Станіслав Іванович, Станислав Иванович Денисов, Stanislav Ivanovych Denysov, V. V. Reva, and O. O. Bondar. "Generalized Fokker-Planck Equation for the Nanoparticle Magnetic Moment Driven by Poisson White Noise." Thesis, Sumy State University, 2012. http://essuir.sumdu.edu.ua/handle/123456789/35373.
Full textLi, Yao. "Stochastic perturbation theory and its application to complex biological networks -- a quantification of systematic features of biological networks." Diss., Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/49013.
Full textVellmer, Sebastian. "Applications of the Fokker-Planck Equation in Computational and Cognitive Neuroscience." Doctoral thesis, Humboldt-Universität zu Berlin, 2020. http://dx.doi.org/10.18452/21597.
Full textThis thesis is concerned with the calculation of statistics, in particular the power spectra, of point processes generated by stochastic multidimensional integrate-and-fire (IF) neurons, networks of IF neurons and decision-making models from the corresponding Fokker-Planck equations. In the brain, information is encoded by sequences of action potentials. In studies that focus on spike timing, IF neurons that drastically simplify the spike generation have become the standard model. One-dimensional IF neurons do not suffice to accurately model neural dynamics, however, the extension towards multiple dimensions yields realistic behavior at the price of growing complexity. The first part of this work develops a theory of spike-train power spectra for stochastic, multidimensional IF neurons. From the Fokker-Planck equation, a set of partial differential equations is derived that describes the stationary probability density, the firing rate and the spike-train power spectrum. In the second part of this work, a mean-field theory of large and sparsely connected homogeneous networks of spiking neurons is developed that takes into account the self-consistent temporal correlations of spike trains. Neural input is approximated by colored Gaussian noise generated by a multidimensional Ornstein-Uhlenbeck process of which the coefficients are initially unknown but determined by the self-consistency condition and define the solution of the theory. To explore heterogeneous networks, an iterative scheme is extended to determine the distribution of spectra. In the third part, the Fokker-Planck equation is applied to calculate the statistics of sequences of binary decisions from diffusion-decision models (DDM). For the analytically tractable DDM, the statistics are calculated from the corresponding Fokker-Planck equation. To determine the statistics for nonlinear models, the threshold-integration method is generalized.
Sjöberg, Paul. "Numerical Methods for Stochastic Modeling of Genes and Proteins." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8293.
Full textBooks on the topic "Stochastic Fokker-Planck"
Frank, T. D. Nonlinear Fokker-Planck equations: Fundamentals and applications. Berlin: Springer, 2004.
Find full textGrasman, Johan. Asymptotic methods for the Fokker-Planck equation and the exit problem in applications. Berlin: Springer, 1999.
Find full textChirikjian, Gregory S. Stochastic models, information theory, and lie groups. Boston: Birkhäuser, 2009.
Find full textFokker-Planck-Kolmogorov equations. Providence, Rhode Island: American Mathematical Society, 2015.
Find full textKrylov, Nicolai V., Michael Rockner, Vladimir I. Bogachev, and Stanislav V. Shaposhnikov. Fokker-Planck-Kolmogorov Equations. American Mathematical Society, 2015.
Find full textNonlinear Fokker-Planck equations: Fundamentals and applications. Berlin: Springer, 2005.
Find full textPavliotis, Grigorios A. Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations. Springer, 2014.
Find full textPavliotis, Grigorios A. Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations. Springer, 2016.
Find full textPavliotis, Grigorios A. Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations. Springer London, Limited, 2014.
Find full textMcClintock, P. V. E., and Frank Moss. Noise in Nonlinear Dynamical Systems Vol. 1: Theory of Continuous Fokker-Planck Systems. Cambridge University Press, 2007.
Find full textBook chapters on the topic "Stochastic Fokker-Planck"
Loos, Sarah A. M. "Fokker-Planck Equations." In Stochastic Systems with Time Delay, 77–86. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80771-9_3.
Full textLoos, Sarah A. M. "Infinite Fokker-Planck Hierarchy." In Stochastic Systems with Time Delay, 121–36. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80771-9_5.
Full textRodean, Howard C. "The Fokker-Planck Equation." In Stochastic Lagrangian Models of Turbulent Diffusion, 19–24. Boston, MA: American Meteorological Society, 1996. http://dx.doi.org/10.1007/978-1-935704-11-9_5.
Full textQian, Hong, and Hao Ge. "Stochastic Processes, Fokker-Planck Equation." In Encyclopedia of Systems Biology, 2000–2004. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9863-7_279.
Full textBogachev, Vladimir I. "Stationary Fokker–Planck–Kolmogorov Equations." In Stochastic Partial Differential Equations and Related Fields, 3–24. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74929-7_1.
Full textDa Prato, Giuseppe. "Fokker–Planck Equations in Hilbert Spaces." In Stochastic Partial Differential Equations and Related Fields, 101–29. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74929-7_5.
Full textMöhl, Dieter. "The Distribution Function and Fokker-Planck Equations." In Stochastic Cooling of Particle Beams, 91–104. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-34979-9_7.
Full textCarmichael, Howard J. "Fokker—Planck Equations and Stochastic Differential Equations." In Statistical Methods in Quantum Optics 1, 147–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03875-8_5.
Full textShaposhnikov, Stanislav V. "Nonlinear Fokker–Planck–Kolmogorov Equations for Measures." In Stochastic Partial Differential Equations and Related Fields, 367–79. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74929-7_24.
Full textYoshida, T., and S. Yanagita. "A Stochastic Simulation Method for Fokker-Planck Equations." In Numerical Astrophysics, 399–400. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4780-4_121.
Full textConference papers on the topic "Stochastic Fokker-Planck"
Metzler, Ralf. "From the Langevin equation to the fractional Fokker–Planck equation." In Stochastic and chaotic dynamics in the lakes. AIP, 2000. http://dx.doi.org/10.1063/1.1302409.
Full textHolliday, G. S., and Surendra Singh. "Second harmonic generation in the positive P-representation." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1987. http://dx.doi.org/10.1364/oam.1987.wr6.
Full textAllison, A. "Stochastic Resonance, Brownian Ratchets and the Fokker-Planck Equation." In UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS: UPoN 2002: Third International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology, and High Technology. AIP, 2003. http://dx.doi.org/10.1063/1.1584877.
Full textWedig, Walter V., and Utz von Wagner. "Stochastic Car Vibrations With Strong Nonlinearities." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21605.
Full textWang, Yan. "Simulating Drift-Diffusion Processes With Generalized Interval Probability." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70699.
Full textClaussen, Jens Christian. "Discrete stochastic processes, replicator and Fokker-Planck equations of coevolutionary dynamics in finite and infinite populations." In Stochastic Models in Biological Sciences. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc80-0-1.
Full textKumar, Mrinal, Suman Chakravorty, and John Junkins. "Computational Nonlinear Stochastic Control Based on the Fokker-Planck-Kolmogorov Equation." In AIAA Guidance, Navigation and Control Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-6477.
Full textHorowicz, R. J., and L. A. Lugiato. "Noise Effects In Optical Bistability." In Instabilities and Dynamics of Lasers and Nonlinear Optical Systems. Washington, D.C.: Optica Publishing Group, 1985. http://dx.doi.org/10.1364/idlnos.1985.wd2.
Full textKikuchi, T., S. Kawata, and T. Katayama. "Numerical solver with cip method for Fokker Planck equation of stochastic cooling." In 2007 IEEE Particle Accelerator Conference (PAC). IEEE, 2007. http://dx.doi.org/10.1109/pac.2007.4440417.
Full textDas, Shreepriya, Haris Vikalo, and Arjang Hassibi. "Stochastic modeling of reaction kinetics in biosensors using the Fokker Planck equation." In 2009 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS). IEEE, 2009. http://dx.doi.org/10.1109/gensips.2009.5174363.
Full textReports on the topic "Stochastic Fokker-Planck"
Marriner, John. Simulations of Transverse Stochastic Cooling Using the Fokker-Planck Equation. Office of Scientific and Technical Information (OSTI), March 1998. http://dx.doi.org/10.2172/1985058.
Full textKumar, Manish, and Subramanian Ramakrishnan. Modeling and Analysis of Stochastic Dynamics and Emergent Phenomena in Swarm Robotic Systems Using the Fokker-Planck Formalism. Fort Belvoir, VA: Defense Technical Information Center, October 2010. http://dx.doi.org/10.21236/ada547014.
Full textYu, D., and S. Chakravorty. A Multi-Resolution Approach to the Fokker-Planck-Kolmogorov Equation with Application to Stochastic Nonlinear Filtering and Optimal Design. Fort Belvoir, VA: Defense Technical Information Center, December 2012. http://dx.doi.org/10.21236/ada582272.
Full textSnyder, Victor A., Dani Or, Amos Hadas, and S. Assouline. Characterization of Post-Tillage Soil Fragmentation and Rejoining Affecting Soil Pore Space Evolution and Transport Properties. United States Department of Agriculture, April 2002. http://dx.doi.org/10.32747/2002.7580670.bard.
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