# zbMATH — the first resource for mathematics

## Merino, Orlando

Compute Distance To:
 Author ID: merino.orlando Published as: Merino, Orlando; Merino, O.
 Documents Indexed: 31 Publications since 1991, including 3 Books
all top 5

#### Co-Authors

 1 single-authored 13 Kulenović, Mustafa R. S. 12 Helton, John William 3 Walker, Trent E. 2 Bailey, Fredric N. 2 Basu, Sukanya 2 Jamieson, William T. 1 Camouzis, Elias 1 Dym, Harry 1 Ladas, Gerasimos E. 1 Marcotte, J. P. 1 McArdle, David 1 Nurkanovic, Mehmed
all top 5

#### Serials

 8 Journal of Difference Equations and Applications 4 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Robust and Nonlinear Control 2 Indiana University Mathematics Journal 2 Advances in Difference Equations 1 Journal of Mathematical Analysis and Applications 1 Integral Equations and Operator Theory 1 Journal of Optimization Theory and Applications 1 Michigan Mathematical Journal 1 SIAM Journal on Control and Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Communications on Applied Nonlinear Analysis
all top 5

#### Fields

 17 Difference and functional equations (39-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Systems theory; control (93-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Functions of a complex variable (30-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

25 Publications have been cited 337 times in 191 Documents Cited by Year
Rational systems in the plane. Zbl 1169.39010
Camouzis, E.; Kulenović, M. R. S.; Ladas, G.; Merino, O.
2009
Invariant manifolds for competitive discrete systems in the plane. Zbl 1202.37027
Kulenović, M. R. S.; Merino, Orlando
2010
Competitive-exclusion versus competitive-coexistence for systems in the plane. Zbl 1116.37030
Kulenović, M. R. S.; Merino, Orlando
2006
Discrete dynamical systems and difference equations with Mathematica. Zbl 1001.37001
Kulenović, Mustafa R. S.; Merino, Orlando
2002
Global bifurcation for discrete competitive systems in the plane. Zbl 1175.37058
Kulenović, M. R. S.; Merino, Orlando
2009
A global attractivity result for maps with invariant boxes. Zbl 1092.37014
Kulenović, M. R. S.; Merino, Orlando
2006
A note on unbounded solutions of a class of second order rational difference equations. Zbl 1107.39007
Kulenović, M. R. S.; Merino, O.
2006
On the global behavior of solutions to a planar system of difference equations. Zbl 1176.39014
Basu, Sukanya; Merino, Orlando
2009
Stability analysis of Pielou’s equation with period-two coefficient. Zbl 1123.39004
Kulenović, M. R. S.; Merino, Orlando
2007
Global attractivity of the equilibrium of $$x_{n+1}=\frac{px_n+x_{n-1}}{qx_n+x_{n-1}}$$ for $$q < p$$. Zbl 1099.39007
Kulenović, M. R. S.; Merino, Orlando
2006
Global attractivity of the equilibrium of a difference equation: an elementary proof assisted by computer algebra system. Zbl 1216.39022
Merino, Orlando
2011
Classical control using $$H^{\infty}$$ methods. Theory, optimization, and design. Zbl 0908.93002
Helton, J. William; Merino, Orlando
1998
Global behavior of solutions to two classes of second-order rational difference equations. Zbl 1177.39016
Basu, Sukanya; Merino, Orlando
2009
Invariant curves for planar competitive and cooperative maps. Zbl 1391.39022
Kulenović, M. R. S.; Merino, O.
2018
Conditions for optimality over $$H^ \infty$$. Zbl 0794.49022
Helton, J. William; Merino, Orlando
1993
Algorithms for optimizing over analytic functions. Zbl 0792.65039
Helton, J. W.; Merino, O.; Walker, T. E.
1993
Global dynamics of certain competitive system in the plane. Zbl 1257.37032
Kulenović, M. R. S.; Merino, Orlando; Nurkanović, M.
2012
A fibered polynomial hull without an analytic selection. Zbl 0811.32008
Helton, J. William; Merino, Orlando
1994
Asymptotic behavior results for solutions to some nonlinear difference equations. Zbl 1320.39013
Jamieson, William T.; Merino, Orlando
2015
Multidisk problems in $$H^{\infty}$$ optimization: A method for analysing numerical algorithms. Zbl 1044.93017
Dym, Harry; Helton, William J.; Merino, Orlando
2002
Global dynamics of a Leslie host-parasite model. Zbl 1384.39004
McArdle, David; Merino, Orlando
2018
Convergence to a period-two solution for a class of second order rational difference equations. Zbl 1128.39006
Kulenović, M. R. S.; Merino, Orlando
2007
Novel approach to accelerating Newton’s method for sup-norm optimization arising in $$H^ \infty$$-control. Zbl 0794.93027
Helton, J. W.; Merino, O.
1993
Local dynamics of planar maps with a non-isolated fixed point exhibiting $$1-1$$ resonance. Zbl 1446.37042
Jamieson, William T.; Merino, Orlando
2018
Classical control using $$H^{\infty}$$ methods. An introduction to design. Zbl 0908.93003
Helton, J. William; Merino, Orlando
1998
Invariant curves for planar competitive and cooperative maps. Zbl 1391.39022
Kulenović, M. R. S.; Merino, O.
2018
Global dynamics of a Leslie host-parasite model. Zbl 1384.39004
McArdle, David; Merino, Orlando
2018
Local dynamics of planar maps with a non-isolated fixed point exhibiting $$1-1$$ resonance. Zbl 1446.37042
Jamieson, William T.; Merino, Orlando
2018
Asymptotic behavior results for solutions to some nonlinear difference equations. Zbl 1320.39013
Jamieson, William T.; Merino, Orlando
2015
Global dynamics of certain competitive system in the plane. Zbl 1257.37032
Kulenović, M. R. S.; Merino, Orlando; Nurkanović, M.
2012
Global attractivity of the equilibrium of a difference equation: an elementary proof assisted by computer algebra system. Zbl 1216.39022
Merino, Orlando
2011
Invariant manifolds for competitive discrete systems in the plane. Zbl 1202.37027
Kulenović, M. R. S.; Merino, Orlando
2010
Rational systems in the plane. Zbl 1169.39010
Camouzis, E.; Kulenović, M. R. S.; Ladas, G.; Merino, O.
2009
Global bifurcation for discrete competitive systems in the plane. Zbl 1175.37058
Kulenović, M. R. S.; Merino, Orlando
2009
On the global behavior of solutions to a planar system of difference equations. Zbl 1176.39014
Basu, Sukanya; Merino, Orlando
2009
Global behavior of solutions to two classes of second-order rational difference equations. Zbl 1177.39016
Basu, Sukanya; Merino, Orlando
2009
Stability analysis of Pielou’s equation with period-two coefficient. Zbl 1123.39004
Kulenović, M. R. S.; Merino, Orlando
2007
Convergence to a period-two solution for a class of second order rational difference equations. Zbl 1128.39006
Kulenović, M. R. S.; Merino, Orlando
2007
Competitive-exclusion versus competitive-coexistence for systems in the plane. Zbl 1116.37030
Kulenović, M. R. S.; Merino, Orlando
2006
A global attractivity result for maps with invariant boxes. Zbl 1092.37014
Kulenović, M. R. S.; Merino, Orlando
2006
A note on unbounded solutions of a class of second order rational difference equations. Zbl 1107.39007
Kulenović, M. R. S.; Merino, O.
2006
Global attractivity of the equilibrium of $$x_{n+1}=\frac{px_n+x_{n-1}}{qx_n+x_{n-1}}$$ for $$q < p$$. Zbl 1099.39007
Kulenović, M. R. S.; Merino, Orlando
2006
Discrete dynamical systems and difference equations with Mathematica. Zbl 1001.37001
Kulenović, Mustafa R. S.; Merino, Orlando
2002
Multidisk problems in $$H^{\infty}$$ optimization: A method for analysing numerical algorithms. Zbl 1044.93017
Dym, Harry; Helton, William J.; Merino, Orlando
2002
Classical control using $$H^{\infty}$$ methods. Theory, optimization, and design. Zbl 0908.93002
Helton, J. William; Merino, Orlando
1998
Classical control using $$H^{\infty}$$ methods. An introduction to design. Zbl 0908.93003
Helton, J. William; Merino, Orlando
1998
A fibered polynomial hull without an analytic selection. Zbl 0811.32008
Helton, J. William; Merino, Orlando
1994
Conditions for optimality over $$H^ \infty$$. Zbl 0794.49022
Helton, J. William; Merino, Orlando
1993
Algorithms for optimizing over analytic functions. Zbl 0792.65039
Helton, J. W.; Merino, O.; Walker, T. E.
1993
Novel approach to accelerating Newton’s method for sup-norm optimization arising in $$H^ \infty$$-control. Zbl 0794.93027
Helton, J. W.; Merino, O.
1993
all top 5