Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations
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[1] Martin Hairer,et al. Loss of regularity for Kolmogorov equations , 2012, 1209.6035.
[2] T. Faniran. Numerical Solution of Stochastic Differential Equations , 2015 .
[3] Arnulf Jentzen,et al. Galerkin Approximations for the Stochastic Burgers Equation , 2013, SIAM J. Numer. Anal..
[4] Xuerong Mao,et al. Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients , 2013 .
[5] Wilhelm Stannat,et al. Stochastic stability of the Ekman spiral , 2013 .
[6] Andreas Neuenkirch,et al. First order strong approximations of scalar SDEs with values in a domain , 2012, 1209.0390.
[7] Andreas Neuenkirch,et al. CONVERGENCE OF NUMERICAL METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN MATHEMATICAL FINANCE , 2012, 1204.6620.
[8] M. Hutzenthaler,et al. Numerical Approximations of Stochastic Differential Equations With Non-globally Lipschitz Continuous Coefficients , 2012, 1203.5809.
[9] Philipp Dörsek,et al. Semigroup Splitting and Cubature Approximations for the Stochastic Navier-Stokes Equations , 2011, SIAM J. Numer. Anal..
[10] P. Kloeden,et al. Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients , 2010, 1010.3756.
[11] L. Szpruch,et al. An Euler-type method for the strong approximation of the Cox–Ingersoll–Ross process , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[12] Xicheng Zhang,et al. Stochastic flows and Bismut formulas for stochastic Hamiltonian systems , 2010 .
[13] E. Vanden-Eijnden,et al. Non-asymptotic mixing of the MALA algorithm , 2010, 1008.3514.
[14] E. Weinan,et al. STUDY OF NOISE-INDUCED TRANSITIONS IN THE LORENZ SYSTEM USING THE MINIMUM ACTION METHOD , 2010 .
[15] Wilhelm Stannat,et al. Improved moment estimates for invariant measures of semilinear diffusions in Hilbert spaces and applications , 2009, 0911.1206.
[16] Xue-Mei Li,et al. Lack of strong completeness for stochastic flows , 2009, 0908.1839.
[17] A. Stuart,et al. MCMC methods for sampling function space , 2009 .
[18] Johan Grasman,et al. Relaxation Oscillations , 2009, Encyclopedia of Complexity and Systems Science.
[19] M. Röckner,et al. A Concise Course on Stochastic Partial Differential Equations , 2007 .
[20] P. Imkeller,et al. Global flows for stochastic differential equations without global Lipschitz conditions , 2007, math/0703791.
[21] I. Gyongy,et al. On Numerical Approximation of Stochastic Burgers' Equation , 2006 .
[22] Aurélien Alfonsi,et al. On the discretization schemes for the CIR (and Bessel squared) processes , 2005, Monte Carlo Methods Appl..
[23] Pasquale Vetro,et al. Stability of a stochastic SIR system , 2005 .
[24] Jonathan C. Mattingly,et al. Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing , 2004, math/0406087.
[25] H. Haken,et al. A stochastic theory of phase transitions in human hand movement , 1986, Biological Cybernetics.
[26] H. Haken,et al. A theoretical model of phase transitions in human hand movements , 2004, Biological Cybernetics.
[27] Lyapunov Functions and Stationary Distributions of Stochastic Evolution Equations , 2003 .
[28] Ingo Steinwart,et al. On the Existence of Continuous Modifications of Vector-Valued Random Fields , 2003 .
[29] R. Durrett. Probability Models for DNA Sequence Evolution , 2002 .
[30] Andrew M. Stuart,et al. Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations , 2002, SIAM J. Numer. Anal..
[31] M. Lauk,et al. Pathological tremors: Deterministic chaos or nonlinear stochastic oscillators? , 2000, Chaos.
[32] N. Krylov. On Kolmogorov’s equations for finite dimensional diffusions , 1999 .
[33] Björn Schmalfuß,et al. The random attractor of the stochastic Lorenz system , 1997 .
[34] K. Schenk-Hoppé,et al. Bifurcation scenarios of the noisy duffing-van der pol oscillator , 1996 .
[35] Klaus Reiner Schenk-Hoppé. Deterministic and stochastic Duffing-van der Pol oscillators are non-explosive , 1996 .
[36] Yaozhong Hu. Semi-Implicit Euler-Maruyama Scheme for Stiff Stochastic Equations , 1996 .
[37] G. Ritter,et al. Lyapunov-type conditions for stationary distributions of diffusion processes on hilbert spaces , 1994 .
[38] Xue-Mei Li. Strong p-completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds , 1994, 1911.07345.
[39] M. Yor,et al. Continuous martingales and Brownian motion , 1990 .
[40] Stochastic flows of diffeomorphisms on an open set in rn , 1989 .
[41] M. Scheutzow. Periodic behavior of the stochastic Brusselator in the mean-field limit , 1986 .
[42] B. Maslowski. On some stability properties of stochastic differential equations of Itô's type , 1986 .
[43] A. Ichikawa. Semilinear stochastic evolution equations: boundedness, stability and invariant measurest , 1984 .
[44] R. May,et al. Population Biology of Infectious Diseases , 1982, Dahlem Workshop Reports.
[45] Y. Ogura,et al. On the strong comparison theorems for solutions of stochastic differential equations , 1981 .
[46] D. Rand,et al. Phase portraits and bifurcations of the non-linear oscillator: ẍ + (α + γx2 + βx + δx3 = 0 , 1980 .
[47] R. May,et al. Population biology of infectious diseases: Part II , 1979, Nature.
[48] R. May,et al. Population biology of infectious diseases: Part I , 1979, Nature.
[49] N. Ikeda,et al. A comparison theorem for solutions of stochastic differential equations and its applications , 1977 .
[50] J. Tyson. Some further studies of nonlinear oscillations in chemical systems , 1973 .
[51] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .
[52] I. Prigogine,et al. Symmetry Breaking Instabilities in Dissipative Systems. II , 1968 .
[53] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[54] Balth. van der Pol Jun.. LXXXVIII. On “relaxation-oscillations” , 1926 .