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: carmen.nunez@uva.es
Web: https://carmennunez.uva.es/
Publications
(updated 2025/01/25)
Saddle-node bifurcations for
concave in measure and d-concave in measure skewproduct
flows with applications to population dynamics and circuits,
with Jesús Dueñas and Rafael Obaya,
Communications in Nonlinear Science and Numerical Simulation 142 (2025),
108577.
Critical transitions for
asymptotically concave or d-concave nonautonomous differential
equations with applications in Ecology,
with Jesús Dueñas and Rafael Obaya,
Journal
of Nonlinear Science 34 (2024), 105.
Generalized pitchfork
bifurcations in d-concave nonautonomous scalar ordinary differential equations,
with Jesús Dueñas and Rafael Obaya,
Journal of
Dynamics and Differential Equations 36 (3) (2024), 3125-3157.
Critical transitions in
piecewise uniformly continuous concave quadratic ordinary
differential equations,
with Iacopo P. Longo
and Rafael Obaya,
Journal
of Dynamics and Differential Equations 36 (3) (2024), 2153-2192.
with Iacopo P. Longo
and Rafael Obaya,
Nonlinearity 37
(4) (2024), 045017 (46pp).
Critical transitions in d-concave
nonautonomous scalar ordinary differential equations
appearing in population dynamics,
with Jesús Dueñas and Rafael Obaya,
SIAM
Journal on Applied Dynamical Systems 22 (4) (2023), 2649-2692.
Uniform stability and chaotic
dynamics in nonhomogeneous linear dissipative scalar
ordinary differential equations,
with Juan Campos and
Rafael Obaya,
Journal of
Differential Equations, 361 (2023), 248-287.
with Jesus Dueñas and Rafael Obaya,
Journal of Differential Equations, 361
(2023), 138-182.
Rate-induced tipping and saddle-node
bifurcation for quadratic differential equations
with nonautonomous asymptotic dynamics,
with Iacopo P. Longo,
Rafael Obaya and Martin Rasmussen,
SIAM Journal on
Applied Dynamical Systems 20 (1) (2021), 500-540.
On the solvability of the
Yakubovich linear-quadratic infinite horizon minimization problem,
with
Roberta Fabbri,
Annali di Matematica Pura ed Applicata 199 (2020), 1713-1735.
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.
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.
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 