-
1
-
-
84925727684
-
On periodic and chaotic behavior in a two-dimensional monopoly model
-
2015
-
B. Al-Hdaibat, W. Govaerts, and N. Neirynck. 2015. On periodic and chaotic behavior in a two-dimensional monopoly model. Chaos Solitons Fractals 70 (2015), 27–37. Retrieved from http://dx.doi.org/10.1016/j.chaos.2014.10.010.
-
(2015)
Chaos Solitons Fractals
, vol.70
, pp. 27-37
-
-
Al-Hdaibat, B.1
Govaerts, W.2
Neirynck, N.3
-
2
-
-
34249309927
-
Resonances for weak coupling of the unfolding of a saddle-node periodic orbit with an oscillator
-
2007
-
C. Baesens and R. S. MacKay. 2007. Resonances for weak coupling of the unfolding of a saddle-node periodic orbit with an oscillator. Nonlinearity 20, 5 (2007), 1283–1298. Retrieved from http://stacks.iop.org/0951-7715/20/i=5/a=012.
-
(2007)
Nonlinearity
, vol.20
, Issue.5
, pp. 1283-1298
-
-
Baesens, C.1
MacKay, R.S.2
-
3
-
-
0000997063
-
The numerical computation of homoclinic orbits for maps
-
1997
-
W.-J. Beyn and J.-M. Kleinkauf. 1997. The numerical computation of homoclinic orbits for maps. SIAM J. Numer. Anal. 34, 3 (1997), 1207–1236. DOI:http://dx.doi.org/10.1137/S0036142995281693
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.3
, pp. 1207-1236
-
-
Beyn, W.-J.1
Kleinkauf, J.-M.2
-
4
-
-
79952024665
-
Dynamics and geometry near resonant bifurcations
-
2011
-
H. W. Broer, S. J. Holtman, G. Vegter, and R. Vitolo. 2011. Dynamics and geometry near resonant bifurcations. Reg. Chaotic Dynam. 16, 1 (2011), 39–50. DOI:http://dx.doi.org/10.1134/S1560354710520023
-
(2011)
Reg. Chaotic Dynam
, vol.16
, Issue.1
, pp. 39-50
-
-
Broer, H.W.1
Holtman, S.J.2
Vegter, G.3
Vitolo, R.4
-
5
-
-
51649147531
-
Bifurcations de points fixes elliptiques—III. Orbites périodiques de ńpetitesż périodes et élimination résonnante des couples de courbes invariantes
-
1987
-
A. Chenciner. 1987. Bifurcations de points fixes elliptiques—III. Orbites périodiques de ńpetitesż périodes et élimination résonnante des couples de courbes invariantes. Publications Mathématiques de l’IHES 66 (1987), 5–91.
-
(1987)
Publications Mathématiques De L’IHES
, vol.66
, pp. 5-91
-
-
Chenciner, A.1
-
6
-
-
34249308982
-
Une description complète du portrait de phase d’un modèle d’élimination résonante
-
1987
-
A. Chenciner, A. Gasull, and J. Llibre. 1987. Une description complète du portrait de phase d’un modèle d’élimination résonante. C. R. Acad. Sci. Paris Ser. I Math. 305, 13 (1987), 623–626.
-
(1987)
C. R. Acad. Sci. Paris Ser. I Math.
, vol.305
, Issue.13
, pp. 623-626
-
-
Chenciner, A.1
Gasull, A.2
Llibre, J.3
-
7
-
-
8744230577
-
MATCONT: A matlab package for numerical bifurcation analysis of ODEs
-
((June 2003)
-
A. Dhooge, W. Govaerts, and Yu. A. Kuznetsov. 2003. MATCONT: A matlab package for numerical bifurcation analysis of ODEs. ACM Trans. Math. Softw. 29, 2 (June 2003), 141–164. DOI:http://dx.doi.org/10.1145/779359.779362
-
(2003)
ACM Trans. Math. Softw.
, vol.29
, Issue.2
, pp. 141-164
-
-
Dhooge, A.1
Govaerts, W.2
Kuznetsov, Yu.A.3
-
8
-
-
3042531966
-
Computing one-dimensional stable manifolds and stable sets of planar maps without the inverse
-
2004
-
J. P. England, B. Krauskopf, and H. M. Osinga. 2004. Computing one-dimensional stable manifolds and stable sets of planar maps without the inverse. SIAM J. Appl. Dynam. Syst. 3, 2 (2004), 161–190. DOI:http://dx.doi.org/10.1137/ 030600131
-
(2004)
SIAM J. Appl. Dynam. Syst.
, vol.3
, Issue.2
, pp. 161-190
-
-
England, J.P.1
Krauskopf, B.2
Osinga, H.M.3
-
9
-
-
0009010516
-
Resonance phenomena in an adaptively-controlled system
-
1991
-
C. E. Frouzakis, R. A. Adomaitis, and I. G. Kevrekidis. 1991. Resonance phenomena in an adaptively-controlled system. Int. J. Bifurcat. Chaos 01, 01 (1991), 83–106. DOI:http://dx.doi.org/10.1142/S0218127491000075
-
(1991)
Int. J. Bifurcat. Chaos 01
, vol.1
, Issue.1
, pp. 83-106
-
-
Frouzakis, C.E.1
Adomaitis, R.A.2
Kevrekidis, I.G.3
-
10
-
-
0024106368
-
Bifurcation in model reference adaptive control systems
-
1988
-
M. P. Golden and B. E. Ydstie. 1988. Bifurcation in model reference adaptive control systems. Syst. Control Lett. 11, 5 (1988), 413–430.
-
(1988)
Syst. Control Lett.
, vol.11
, Issue.5
, pp. 413-430
-
-
Golden, M.P.1
Ydstie, B.E.2
-
11
-
-
84885099877
-
Examples of lorenz-like attractors in henon-like maps
-
2013
-
S. V. Gonchenko, A. S. Gonchenko, I. I. Ovsyannikov, and D. V. Turaev. 2013. Examples of lorenz-like attractors in henon-like maps. Math. Model. Natural Phenom. 8, 0 5 (2013), 48–70.
-
(2013)
Math. Model. Natural Phenom.
, vol.8
, Issue.5
, pp. 48-70
-
-
Gonchenko, S.V.1
Gonchenko, A.S.2
Ovsyannikov, I.I.3
Turaev, D.V.4
-
12
-
-
17644424370
-
On andronov-hopf bifurcations of two-dimensional diffeomorphisms with homoclinic tangencies
-
2000
-
S. V. Gonchenko and V. S. Gonchenko. 2000. On andronov-hopf bifurcations of two-dimensional diffeomorphisms with homoclinic tangencies. Preprint WIAS No. 556 (2000).
-
(2000)
Preprint WIAS
-
-
Gonchenko, S.V.1
Gonchenko, V.S.2
-
13
-
-
37349105501
-
Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized hénon maps
-
2007
-
S. V. Gonchenko, V. S. Gonchenko, and J. C. Tatjer. 2007. Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps. Reg. Chaotic Dynam. 12, 3 (2007), 233–266. DOI:http://dx.doi.org/10.1134/S156035470703001X
-
(2007)
Reg. Chaotic Dynam
, vol.12
, Issue.3
, pp. 233-266
-
-
Gonchenko, S.V.1
Gonchenko, V.S.2
Tatjer, J.C.3
-
14
-
-
33644897897
-
Generalized hénon map and bifurcations of homoclinic tangencies
-
(2005), epubs.siam.org/doi/pdf/10.1137/04060487X
-
V. Gonchenko, Yu. A. Kuznetsov, and H. G. E. Meijer. 2005. Generalized hénon map and bifurcations of homoclinic tangencies. SIAM J. Appl. Dynam. Syst. 4, 2 (2005), 407–436. DOI:http://dx.doi.org/10.1137/04060487X arXiv: http://epubs.siam.org/doi/pdf/10.1137/04060487X
-
(2005)
SIAM J. Appl. Dynam. Syst.
, vol.4
, Issue.2
, pp. 407-436
-
-
Gonchenko, V.1
Kuznetsov, Yu.A.2
Meijer, H.G.E.3
-
15
-
-
45049087841
-
Numerical methods for two-parameter local bifurcation analysis of maps
-
((Oct. 2007)
-
W. Govaerts, R. Khoshsiar Ghaziani, Yu. A. Kuznetsov, and H. G. E. Meijer. 2007. Numerical methods for two-parameter local bifurcation analysis of maps. SIAM J. Sci. Comput. 29, 6 (Oct. 2007), 2644–2667. DOI:http://dx.doi. org/10.1137/060653858
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, Issue.6
, pp. 2644-2667
-
-
Govaerts, W.1
Khoshsiar Ghaziani, R.2
Kuznetsov, Yu.A.3
Meijer, H.G.E.4
-
16
-
-
85042503141
-
A study of resonance tongues near a chenciner bifurcation using matcontm
-
D. Bernardini, G. Rega, and F. Romeo (Eds.). Euromech
-
W. Govaerts, Yu. A. Kuznetsov, H. G. E. Meijer, and N. Neirynck. 2011. A study of resonance tongues near a chenciner bifurcation using matcontm. In Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC’11), D. Bernardini, G. Rega, and F. Romeo (Eds.). Euromech.
-
(2011)
Proceedings of The 7th European Nonlinear Dynamics Conference (ENOC’11)
-
-
Govaerts, W.1
Kuznetsov, Yu.A.2
Meijer, H.G.E.3
Neirynck, N.4
-
17
-
-
84884918410
-
Interacting global invariant sets in a planar map model of wild chaos
-
2013
-
S. Hittmeyer, B. Krauskopf, and H. M. Osinga. 2013. Interacting global invariant sets in a planar map model of wild chaos. SIAM J. Appl. Dynam. Syst. 12, 3 (2013), 1280–1329.
-
(2013)
SIAM J. Appl. Dynam. Syst.
, vol.12
, Issue.3
, pp. 1280-1329
-
-
Hittmeyer, S.1
Krauskopf, B.2
Osinga, H.M.3
-
18
-
-
0041124958
-
Algorithme numérique définissant la bifurcation d’un point homocline
-
1981
-
H. Kawakami. 1981. Algorithme numérique définissant la bifurcation d’un point homocline. C. R. Acad. Sci. Paris 293, 1 (1981), 401–403.
-
(1981)
C. R. Acad. Sci. Paris
, vol.293
, Issue.1
, pp. 401-403
-
-
Kawakami, H.1
-
20
-
-
70549111373
-
Numerical continuation of connecting orbits of maps in matlab
-
2009
-
R. Khoshsiar Ghaziani, W. Govaerts, Yu. A. Kuznetsov, and H. G. E. Meijer. 2009. Numerical continuation of connecting orbits of maps in Matlab. J. Dif. Equat. Appl. 15, 8-9 (2009), 849–875.
-
(2009)
J. Dif. Equat. Appl.
, vol.15
, Issue.8-9
, pp. 849-875
-
-
Khoshsiar Ghaziani, R.1
Govaerts, W.2
Kuznetsov, Yu.A.3
Meijer, H.G.E.4
-
21
-
-
84655176415
-
Resonance and bifurcation in a discrete-time predator-prey system with holling functional response
-
2012
-
R. Khoshsiar Ghaziani, W. Govaerts, and C. Sonck. 2012. Resonance and bifurcation in a discrete-time predator-prey system with Holling functional response. Nonlin. Anal. Real World Appl. 13, 3 (2012), 1451–1465. http://dx.doi.org/10.1016/j.nonrwa.2011.11.009.
-
(2012)
Nonlin. Anal. Real World Appl.
, vol.13
, Issue.3
, pp. 1451-1465
-
-
Khoshsiar Ghaziani, R.1
Govaerts, W.2
Sonck, C.3
-
22
-
-
0000010680
-
Growing 1D and quasi-2D unstable manifolds of maps
-
1998
-
B. Krauskopf and H. Osinga. 1998. Growing 1D and quasi-2D unstable manifolds of maps. J. Comput. Phys. 146, 1 (1998), 404–419. DOI:http://dx.doi.org/10.1006/jcph.1998.6059
-
(1998)
J. Comput. Phys.
, vol.146
, Issue.1
, pp. 404-419
-
-
Krauskopf, B.1
Osinga, H.2
-
23
-
-
0003805342
-
-
World Scientific, Singapore
-
C. Mira. 1987. Chaotic Dynamics. World Scientific, Singapore.
-
(1987)
Chaotic Dynamics
-
-
Mira, C.1
-
25
-
-
84873570400
-
High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps
-
2013
-
J. K. Wróbel and R. H. Goodman. 2013. High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps. Commun. Nonlin. Sci. Numer. Simul. 18, 7 (2013), 1734–1745.
-
(2013)
Commun. Nonlin. Sci. Numer. Simul.
, vol.18
, Issue.7
, pp. 1734-1745
-
-
Wróbel, J.K.1
Goodman, R.H.2
-
26
-
-
0008674059
-
Numerical detection and continuation of homoclinic points and their bifurcations for maps and periodically forced systems
-
(1998), http://www.worldscientific.com/doi/pdf/10.1142/S0218127498001285
-
K. Yagasaki. 1998. Numerical detection and continuation of homoclinic points and their bifurcations for maps and periodically forced systems. Int. J. Bifurcat. Chaos 08, 07 (1998), 1617–1627. DOI:http://dx.doi.org/10.1142/ S0218127498001285 arXiv: http://www.worldscientific.com/doi/pdf/10.1142/S0218127498001285
-
(1998)
Int. J. Bifurcat. Chaos 08
, vol.8
, Issue.7
, pp. 1617-1627
-
-
Yagasaki, K.1
-
27
-
-
0031220523
-
A method to calculate homoclinic points of a two-dimensional noninvertible map
-
1997
-
T. Yoshinaga, H. Kitajima, H. Kawakami, and C. Mira. 1997. A method to calculate homoclinic points of a two-dimensional noninvertible map. IEICE Trans. Fund. Electron. Commun. Comput. Sci. 80, 9 (1997), 1560–1566.
-
(1997)
IEICE Trans. Fund. Electron. Commun. Comput. Sci.
, vol.80
, Issue.9
, pp. 1560-1566
-
-
Yoshinaga, T.1
Kitajima, H.2
Kawakami, H.3
Mira, C.4
|