Carmen Núñez Jiménez
Departamento de Matemática Aplicada - Sección
EII
Escuela de Ingenierías Industriales - Universidad de Valladolid
Paseo
del Cauce 59, 47011 Valladolid, Spain
Tel: (+34) 983 42 37 92
Fax: (+34) 983 42 34 06
E-mail: carnun@wmatem.eis.uva.es
Web: http://wmatem.eis.uva.es/~carnun/
Publications
(updated 2019/12/09)
On
the solvability of the Yakubovich linear-quadratic
infinite horizon minimization problem,
with
Roberta Fabbri,
Annali di Matematica
Pura ed Applicata
(to appear).
with Cinzia Elia, Ismael Maroto and Rafael
Obaya,
Communications in Nonlinear Science and Numerical
Simulation, 78 (2019), 104874, 1-23.
Li-Yorke chaos in nonautonomous Hopf bifurcation patterns – I,
with
Rafael Obaya,
Nonlinearity, 32 (10) (2019), 3940-3980.
with
Rafael Obaya,
Journal of Dynamics and Differential Equations, 31 (3) (2019), 1397-1426.
Exponential
stability for nonautonomous functional differential
equations with state-dependent delay,
with
Ismael Maroto and Rafael Obaya,
Discrete and
Continuous Dynamical Systems, Series B, 22 (8) (2017), 3167-3197.
Dynamical
properties of nonautonomous functional differential
equations with state-dependent delay,
with
Ismael Maroto and Rafael Obaya,
Discrete and
Continuous Dynamical Systems, Series A, 37 (7) (2017), 3939-3961.
Nonautonomous linear-quadratic dissipative control
processes without uniform controllability,
with Russell Johnson, Sylvia Novo and Rafael Obaya,
Journal of Dynamics and Differential Equations, 29 (2)
(2017), 355-383.
Nonautonomous
Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control,
with
Russell Johnson, Rafael Obaya, Sylvia Novo and
Roberta Fabbri,
Developments in Mathematics, 36, Springer, 2016.
Issue on Nonautonomous Dynamics (editor),
with
Roberta Fabbri, Russell Johnson, Sylvia Novo and
Rafael Obaya,
Discrete and Continuous Dynamical Systems, Serie S, 9 (4) (2016).
Null
controllable sets and reachable sets for nonautonomous linear control systems,
with Roberta
Fabbri, Sylvia Novo and Rafael Obaya,
Discrete and Continuous Dynamical
Systems, Series S, 9 (4)
(2016), 1060-1094.
Remarks on
linear-quadratic dissipative control systems,
with
Russell Johnson,
Discrete and
Continuous Dynamical Systems, Series B, 20 (3) (2015), 889-914.
Uniform weak disconjugacy
and principal solutions for linear Hamiltonian systems,
with
Russell Johnson, Sylvia Novo and Rafael Obaya,
in: Recent
Advances in Delay Differential and Difference Equations,
eds: E. Hartung and M.Pituk,
Springer
Proceedings in Mathematics &
Statistics, 94,
Springer Cham Heidelberg New York Dordrecht London 2014, 131-159.
Skew-product
semiflows for non-autonomous partial functional
differential equations with delay,
with
Sylvia Novo, Rafael Obaya and Ana M. Sanz,
Discrete and
Continuous Dynamical Systems, Series A, 34 (10) (2014), 4291-4321.
The Kalman-Bucy filter revisited,
with Russell Johnson,
Discrete and Continuous Dynamical Systems, Series A, 34 (10)
(2014), 4139-4153.
Dynamical
methods for linear Hamiltonian systems with applications to control processes,
with Russell Johnson and Rafael Obaya,
Journal of Dynamics and Differential
Equations, 25 (3)
(2013), 679-713.
On
linear-quadratic dissipative control
processes with time-varying coefficients,
with Roberta Fabbri,
Russell Johnson and Sylvia Novo,
Discrete and Continuous Dynamical Systems, Series A, 33 (1) (2013), 193-210.
Minimal
sets in monotone and concave skew-product semiflows
II: two-dimensional systems of differential equations,
with Rafael Obaya and
Ana M. Sanz,
Journal
of Differential Equations, 252 (5)
(2012), 3575-3607.
Minimal
sets in monotone and concave skew-product semiflows
I: a general theory,
with Rafael Obaya and
Ana M. Sanz,
Journal
of Differential Equations, 252 (10) (2012), 5492-5517.
Special Issue on Nonautonomous Dynamical Systems and Applications
(editor),
with
Roberta Fabbri,
Communications on Pure and Applied
Analysis, 10 (3) (2011), 817-1010
Some
remarks concerning weakly disconjugate linear
Hamiltonian systems,
with Roberta Fabbri,
Russell Johnson and Sylvia Novo,
Journal
of Mathematical Analysis and Applications, 380
(2011), 853-864.
Minimal
sets in monotone and sublinear skew-product semiflows
II: two-dimensional systems of differential equations,
with Rafael Obaya and
Ana M. Sanz,
Journal
of Differential Equations, 247 (8)
(2010), 1899-1925.
Minimal
sets in monotone and sublinear skew-product semiflows
I: the general case,
with Rafael Obaya and
Ana M. Sanz,
Journal
of Differential Equations, 247 (7) (2010),
1879-1897.
Global
attractivity in concave or sublinear monotone infinite delay differential
equations,
with Rafael Obaya and
Ana M. Sanz,
Journal
of Differential Equations, 246
(8) (2009), 3332-3360.
Special Issue
on Nonautonomous Dynamics (editor),
with Roberta Fabbri, Russell
Johnson and Rafael Obaya,
Discrete and Continuous Dynamical
Systems, Serie B, 9 (3&4) (2008), 431-788
A non-autonomous bifurcation theory
for deterministic scalar differential equations,
with Rafael Obaya,
Discrete and
Continuous Dynamical Systems, Series B, 9 (3&4) (2008),
701-730.
Old and new results on strange
non-chaotic attractors,
with Àngel Jorba, Rafael
Obaya and Joan Carles Tatjer,
International
Journal of Bifurcattion and Chaos, 17 (11)
(2007), 3895-3928.
Disconjugacy and the rotation number for linear,
non-autonomous Hamiltonian systems,
with Roberta Fabbri
and Russell Johnson,
Annali di Matematica Pura ed Applicata, 185
(2006), S3-S21.
with Sylvia Novo and Rafael Obaya,
Journal
of Dynamics and Differential Equations, 17 (3) (2005),
589-619.
A perturbation theorem for linear
Hamiltonian systems with bounded orbits,
with Roberta Fabbri
and Ana M. Sanz,
Discrete and
Continuous Dynamical Systems, Series A, 13 (3) (2005), 623-635.
Complete guiding sets for a class of
almost-periodic differential equations,
with Ana I. Alonso and Rafael Obaya,
Journal of Differential Equations, 208 (1)
(2005), 124-146.
Uniform complete guiding sets for
finite-delay differential equations,
with Rafael Obaya,
in:
Equadiff 2003: International Conference on Difference
Equations, 848-855,
eds: F. Dumortier, H. W. Broer, J. Mawhin, A. Vanderbauwhede, S. Verduyn Lunel,
World Scientific Publishing, Singapore, 2005.
On the Yakubovich
Frequency Theorem for linear non-autonomous control processes,
with Roberta Fabbri
and Russell Johnson,
Discrete and
Continuous Dynamical Systems, Series A, 9 (3) (2003), 677-704.
The rotation number for
non-autonomous linear Hamiltonian systems I: basic properties,
with Roberta Fabbri
and Russell Johnson,
Zeitschrift für Angewandte Mathematik und Physik, 54
(2003), 484-502.
The rotation number for
non-autonomous linear Hamiltonian systems II: the Floquet
coefficient,
with Roberta Fabbri
and Russell Johnson,
Zeitschrift für Angewandte Mathematik und Physik, 54
(2003), 652-676.
Absolutely continuous invariant
measures on the sphere,
with Sylvia Novo,
in:
Nonlinear Analysis and Applications, 799-806,
ed: R. Agarwal,
Kluwer Academic Publishers, 2003.
On the Frequency Theorem for
nonperiodic systems,
with Roberta Fabbri
and Russell Johnson,
in: Dynamics,
Bifurcations and Control, 233-241,
Lecture
Notes in Control and Information Sciences, 273,
ed: F. Colonius,
Springer-Verlag, 2002.
Linear Hamiltonian systems with
absolutely continuous dynamics,
with Sylvia Novo,
Nonlinear Analysis, Theory, Methods
and Applications, 47
(2001), 1401-1406.
Ergodic
linear Hamiltonian systems with absolutely continuous dynamics,
with Ana M. Sanz,
in: Proceedings
of Dynamic Systems and Applications 3, 467-474,
eds: G.S. Ladde and M. Sambandham,
Ergodic properties and rotation
number for linear Hamiltonian systems,
with Sylvia Novo and Rafael Obaya,
Journal
of Differential Equations, 148 (1998), 148-185.
Non-tangential limit of the Weyl m-functions
for the ergodic Schrödinger equation,
with Rafael Obaya,
Journal
of Dynamics and Differential Equations 10 (1998), 209-257.
Time averages for continuous
functions on distal flows,
Bulletin
of the Australian Mathematical Society, 58 (1998), 445-452.
The almost periodic type difference
equations,
with Jialin Hong,
Mathematical
and Computer Modelling, 28 (1998), 21-31.
Ergodic theory for the
one-dimensional Jacobi operator,
with Rafael Obaya,
Studia
Mathematica, 117 (2) (1996), 149-171.
On the Floquet
coefficient for bidimensional linear systems with
null Lyapunov exponent,
with Rafael Obaya,
in: Proceedings
of Dynamic Systems and Applications 2, 421-428,
eds: G.S. Ladde and M. Sambandham,
Semicontinuity of the derivative of the rotation
number,
with Rafael Obaya,
Comptes Rendus de l'Académie des Sciences
- Series I, 320 (1995), 1245-1248.
External Links:
Enrique Marty 
Marina Núñez 