Rodica D. Costin


  Papers:

Nonlinear perturbations of Fuchsian systems: corrections and linearization, normal forms  pdf

Analytic linearization of nonlinear perturbations of Fuchsian systems pdf


Power and exponential-power series  solutions of evolution equations 
  Ann. Fac. Sci. Toulouse Math. (6)  13  (2004),  no. 4, 551--573   pdf

Time asymptotics of the Schr\" odinger wave function in time-periodic potentials
(with O. Costin, J Lebowitz, J.Stat.Phys., special issue
dedicated to Elliott Lieb on the occasion of his 70th birthday, 1-4, 283-310 (2004) .pdf

Rigorous estimates of Stokes constants for some nonlinear differential equations with rank one irregular singularity
(with M. Kohut, O. Costin; 
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 460 (2004), no. 2052, 3631--3641) .pdf


Nonintegrability criteria for a class of differential equations with two regular singular points

   (with M. D. Kruskal; Nonlinearity, 16 (2003), no. 4, 1295--1317)   .pdf
 

Failure of analytic hypoellipticity in a class of PDOs
   (with O. Costin; Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 2 (2003), no. 1, 21--45.) .pdf

Asymptotic properties of a family of solutions of the Painleve equation PVI
(with O. Costin; Int. Math. Res. Not. 2002, no. 22, 1167--1182.) .pdf

Transition to the continuum of a particle in time-periodic potentials
   (with O. Costin, J L Lebowitz; Advances in Differential Equations and Mathematical Physics, AMS Contemporary Mathematics series ed. Karpeshina, Stolz, Weikard, and Zeng 2003) .pdf

Evolution of a model quantum system under time periodic forcing: conditions for complete ionization
    (With O. Costin,  A. Rokhlenko and J. Lebowitz; Comm. Math. Phys.  221, 1 pp 1--26 (2001)) pdf

Nonperturbative analysis of a model quantum system under time periodic forcing
   (With O. Costin, A. Rokhlenko and J. Lebowitz; Comptes Rendus Acad. Sci. Serie I, 332 5 pp 405--411 (2001)) pdf

On the formation of singularities of solutions of  nonlinear differential systems in antistokes directions
   (with O. Costin,  Inventiones Mathematicae 145, 3, pp 425-485 (2001) ) .pdf    (Copyright owned by Inventiones)

Singular normal form for the Painleve equation P1
   (with O. Costin,  Nonlinearity  Vol 11, No. 5 pp.  1195-1208 (1998))  .pdf

Integrability Properties of Nonlinearly Perturbed Euler Equations
   (Nonlinearity Vol. 10 No 4 pp. 905-924 (1997))  .pdf

Integrability Properties of a Generalized Lame Equation; Applications to the Henon-Heiles System
   (Meth.Appl.An., Vol 4 No 2, pp. 113-123 (1997) ) .pdf

Rigorous WKB for finite order linear recurrence relations with smooth coefficients
   (with O. Costin, SIAM.J.Math.Anal. v27 no1 (1996)) .ps.gz

J. Stat.Phys.59 5/6 jpg (abstract)

J. Stat.Phys.64 1/2 jpg (abstract)

On some linearization methods of the generalized flow rate characteristic of the hydraulic servomechanisms
      (with
Ursu, I., F. Popescu, M. Vladimirescu, Revue Roumaine des Sciences Techniques, Série de Mécanique Appliquée,
        Vol. 39, No. 2, pp. 207-21
(1994))

Dynamic performances analysis for an electrohydraulic tracking system
(in Romanian, with
Ursu, I, M. Besliu, Studii si cercetari de mecanica aplicata, Vol. 51, No. 4, pp. 433-444, (1992))

  PhD Thesis (Rutgers University, 1997)  .pdf