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Dynamics and Stability of Systems

An International Journal

Short Title: Dyn. Stab. Syst.
Publisher: Taylor & Francis Ltd., London
ISSN: 0268-1110; 1465-3389/e
Online: http://www.tandfonline.com/loi/cdss20
Successor: Dynamical Systems
Comments: Journal; No longer indexed
Documents Indexed: 260 Publications (1986–2000)
References Indexed: 253 Publications with 4,582 References.
all top 5

Authors

10 Merkin, John H.
8 Scott, Stephen K.
7 Stewart, Ian Nicholas
6 Bainov, Drumi Dimitrov
5 Marsden, Jerrold Eldon
5 Needham, David John
5 Thompson, John Michael T.
4 Ariaratnam, Sinnathamby T.
4 Doole, S. H.
4 Gopalsamy, Kondalsamy
4 Hughes, Peter C.
4 Huseyin, Koncay
4 Leach, Jannie A.
4 Leung, Andrew Yee-Tak
4 Xie, Wei-Chau
3 Bert, Charles W.
3 Broomhead, David S.
3 Chatterjee, Anindya
3 Dangelmayr, Gerhard
3 Forbes, Lawrence K.
3 Gray, Brian F.
3 Hurmuzlu, Yildirim
3 Kulev, G. K.
3 Laing, Carlo R.
3 Leitmann, George
3 Liu, Junli
3 Moskowitz, Gordon D.
3 Namachchivaya, N. Sri
3 Papoulias, Fotis Andrea
3 Sincarsin, G. B.
3 Yu, Pei
2 Arnold, Ludwig
2 Ashwin, Peter
2 Atanackovic, Teodor M.
2 Billingham, John
2 Bishop, Steven R.
2 Boyarsky, Abraham
2 Bridges, Thomas J.
2 Brindley, John
2 Capecchi, Danilo
2 Champneys, Alan R.
2 Crawford, John W.
2 D’Eleuterio, Gabriele M. T.
2 Dias, Ana Paula S.
2 Đukić, Đorđe Slavka
2 Freire Macías, Emilio
2 Garcia, Mariano
2 Gervais, Jean-Jacques
2 Glendinning, Paul Alexander
2 Golnaraghi, M. Farid
2 Golubitsky, Martin A.
2 Gourley, Stephen A.
2 Hogan, S. John
2 Huke, Jeremy P.
2 Kelmanson, Mark A.
2 Keyfitz, Barbara Lee
2 Kiriki, Shin
2 Krishnaprasad, P.s.
2 Ladas, Gerasimos E.
2 Lalli, Bikkar S.
2 Langford, William F.
2 Leipholz, Horst H. E.
2 Leugering, Günter
2 Mestl, Thomas
2 Moiola, Jorge Luis
2 Muldoon, Mark R.
2 Nicolis, Gregoire
2 Omholt, Stig W.
2 Owens, David Howard
2 Plahte, Erik
2 Plaut, Raymond H.
2 Rodríguez-Luis, Alejandro J.
2 Roorda, John
2 Ruina, Andy L.
2 Satnoianu, Razvan Alin
2 Sexton, M. Jane
2 Sherratt, Jonathan A.
2 Swinnerton-Dyer, Peter
2 Troger, Hans
2 Viola, Roberto
2 Zhang, Binggen
1 Abdel-Mooty, Mohamed
1 Adali, Sarp
1 Afraimovich, Valentin S.
1 Ahmadi, Goodarz
1 Al-Nayef, Anwar A.
1 Almirantis, Yannis
1 Anishchenko, Vadim Semenovich
1 Armbruster, Dieter
1 Arrowsmith, David K.
1 Aston, Philip J.
1 Atadan, S.
1 Avgerinos, Evgenios P.
1 Awrejcewicz, Jan
1 Bahgat, Ahmed
1 Bai, Fengshan
1 Baigent, Steve
1 Bajaj, Anil K.
1 Barone-Netto, Angelo
1 Barra, Felipe
...and 238 more Authors

Publications by Year

Citations contained in zbMATH Open

197 Publications have been cited 1,566 times in 1,416 Documents Cited by Year
Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems. Zbl 0797.92025
Zeeman, M. L.
125
1993
Stability results for impulsive differential systems with applications to population growth models. Zbl 0808.34056
Liu, Xinzhi
75
1994
On a neutral delay logistic equation. Zbl 0665.34066
Gopalsamy, K.; Zhang, B. G.
67
1987
Oscillatory behaviour in a three-component plankton population model. Zbl 0871.92029
Edwards, Andrew M.; Brindley, John
60
1996
Order-preserving random dynamical systems: Equilibria, attractors, applications. Zbl 0938.37031
Arnold, Ludwig; Chueshov, Igor
40
1998
Steady-state mode interactions in the presence of O(2)-symmetry. Zbl 0661.58022
Dangelmayr, Gerhard
39
1986
Qualitative dynamics of piecewise-linear differential equations: A discrete mapping approach. Zbl 0678.34010
Snoussi, El Houssine
37
1989
On the transition from initial data to travelling waves in the Fisher-KPP equation. Zbl 0912.35084
Sherratt, Jonathan A.
33
1998
A constructive fixed point theorem for min-max functions. Zbl 0958.47028
Cochet-Terrasson, Jean; Gunawardena, Jeremy; Gaubert, Stéphane
31
1999
Periodic solutions in systems of piecewise-linear differential equations. Zbl 0833.34027
Mestl, Thomas; Plahte, Erik; Omholt, Stig W.
30
1995
A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis. Zbl 0737.35031
Billingham, J.; Needham, D. J.
29
1991
A piecewise linear suspension bridge model: Nonlinear dynamics and orbit continuation. Zbl 0855.34041
Doole, S. H.; Hogan, S. J.
28
1996
The energy-momentum method for the stability of non-holonomic systems. Zbl 0916.70013
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
27
1998
On neutral delay logistic Gause-type predator-prey systems. Zbl 0728.92016
Kuang, Yang
23
1991
Global analysis of steady points for systems of differential equations with sigmoid interactions. Zbl 0821.34025
Plahte, Erik; Mestl, Thomas; Omholt, Stig. W.
22
1994
Abundance of elliptic isles at conservative bifurcations. Zbl 0947.37014
Duarte, Pedro
22
1999
Global bifurcation and chaos in parametrically forced systems with one- one resonance. Zbl 0727.34027
Feng, Z. C.; Sethna, P. R.
21
1990
On the shape and dimension of the Lorenz attractor. Zbl 0838.34070
Doering, Charles R.; Gibbon, J. D.
19
1995
Synchronization in lattices of coupled oscillators with Neumann/periodic boundary conditions. Zbl 1067.34052
Afraimovich, V. S.; Lin, Wen-Wei
19
1998
Efficiency, speed, and scaling of two-dimensional passive-dynamic walking. Zbl 0964.92004
Garcia, Mariano; Chatterjee, Anindya; Ruina, Andy
19
2000
Small noise expansion of moment Lyapunov exponents for two-dimensional systems. Zbl 0890.60055
Arnold, L.; Doyle, M. M.; Sri Namachchivaya, N.
18
1997
Oscillation and global stability in a delay logistic equation. Zbl 0806.34069
Ladas, G.; Qian, C.
18
1994
Normal form analysis of stochastically forced dynamical systems. Zbl 0645.60069
Nicolis, C.; Nicolis, G.
18
1986
Oscillations and global attractivity in respiratory dynamics. Zbl 0683.92009
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
16
1989
Global first harmonic bifurcation diagram for odd piecewise linear control systems. Zbl 0855.93037
Llibre, Jaume; Ponce, Enrique
15
1996
The role of impact in the stability of bipedal locomotion. Zbl 0647.70026
Hürmüzlü, Yildirim; Moskowitz, Gordon D.
15
1986
Motions of a rimless spoked wheel: A simple three-dimensional system with impacts. Zbl 0932.70007
Coleman, Michael J.; Chatterjee, Anindya; Ruina, Andy
14
1997
Patchiness in plankton populations. Zbl 0872.92016
Matthews, L.; Brindley, J.
14
1997
Static and dynamic bifurcations associated with a double-zero eigenvalue. Zbl 0647.34036
Yu, Pei; Huseyin, K.
14
1986
Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065
Zhang, Weinian; Stewart, Ian
13
1996
On meromorphic complex differential equations. Zbl 0813.34005
Needham, D. J.; King, A. C.
13
1994
Global stabilization of the spinning top with mass imbalance. Zbl 0837.93048
Lum, Kai-Yew; Bernstein, Dennis S.; Coppola, Vincent T.
12
1995
Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation. Zbl 0764.34049
Gopalsamy, K.; Lalli, B. S.
12
1992
Dynamics of artificial satellite orbits with tesseral resonances including the effects of luni-solar perturbations. Zbl 0943.70017
Ely, Todd A.; Howell, Kathleen C.
12
1997
Periodic oscillations and attracting basins for a parametrically excited pendulum. Zbl 0807.34056
Capecchi, Danilo; Bishop, Steven R.
11
1994
The dynamics of coupled planar rigid bodies. I: Reduction, equilibria and stability. Zbl 0677.70008
Sreenath, N.; Oh, Y. G.; Krishnaprasad, P. S.; Marsden, J. E.
11
1988
An explicit description of the Lyapunov exponents of the noisy damped harmonic oscillator. Zbl 0949.34038
Imkeller, Peter; Lederer, Christian
11
1999
Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms. Zbl 0954.34041
Billingham, John
11
2000
Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems. Zbl 1003.37033
Champneys, Alan R.; Härterich, Jörg
10
2000
Classification of one-state-variable bifurcation problems up to codimension seven. Zbl 0647.34035
Keyfitz, Barbara Lee
10
1986
Pattern evocation and geometric phases in mechanical systems with symmetry. Zbl 0855.70011
Marsden, Jerrold E.; Scheurle, Jürgen
9
1995
Hopf-Hopf mode interactions with O(2) symmetry. Zbl 0656.34020
Chossat, Pascal; Golubitsky, Martin; Keyfitz, Barbara Lee
9
1986
A singularity theory analysis of bifurcation problems with octahedral symmetry. Zbl 0665.34034
Melbourne, Ian
9
1986
Whiskered tori with prefixed frequencies and Lyapunov spectrum. Zbl 0841.58023
Gentile, Guido
8
1995
Hopf-steady-state mode interactions with O(2) symmetry. Zbl 0826.34036
Hill, Andrew; Stewart, Ian
8
1991
The post-processed Galerkin method applied to nonlinear shell vibrations. Zbl 0942.74079
Laing, Carlo R.; McRobie, Allan; Thompson, J. M. T.
8
1999
Stability of a second-order differential equation with retarded argument. Zbl 0807.34086
Bajnov, D.; Domoshnitsky, A.
8
1994
The development of spatial structure in an ionic chemical system induced by applied electric fields. Zbl 0968.35119
Merkin, John; Satnoianu, Razvan; Scott, Stephen
8
2000
Reduction of Hamilton’s variational principle. Zbl 1003.70013
Jalnapurkar, Sameer M.; Marsden, Jerrold E.
8
2000
Nonlinear dynamics of the extended Lazer-McKenna bridge oscillation model. Zbl 0952.34042
Doole, S. H.; Hogan, S. J.
8
2000
Delay embedding in the presence of dynamical noise. Zbl 0909.62084
Muldoon, Mark R.; Broomhead, David S.; Huke, Jeremy P.; Hegger, Rainer
8
1998
Dynamic buckling of limit-point systems under step loading. Zbl 0672.73046
Raftoyiannis, J.; Kounadis, A. N.
8
1988
Forced convective structures in a differential flow reactor. Zbl 0935.35063
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K.
7
1999
Numerical investigations of the constant and periodic motions of the human vocal cords including stability and bifurcation phenomena. Zbl 0694.34032
Awrejcewicz, J.
7
1990
Small slope implies low speed for McGeer’s passive walking machines. Zbl 0996.92004
Chatterjee, Anindya; Garcia, Mariano
7
2000
Stabilization of linear systems by noise: Application to flow induced oscillations. Zbl 0961.34043
Sri Namachchivaya, N.; Vedula, Lalit
7
2000
Corank-two bifurcations for the Brusselator with non-flux boundary conditions. Zbl 0647.34037
Armbruster, D.; Dangelmayr, G.
7
1986
Modulated rotating waves in O(2) mode interactions. Zbl 0681.58029
Crawford, John David; Golubitsky, Martin; Langford, William F.
7
1988
Stability of power law fluid flow between rotating cylinders. Zbl 0820.76039
Pascal, J. P.; Rasmussen, H.
6
1995
Two-cell coupled cubic autocatalator: The effect of the uncatalysed reaction. Zbl 0782.92023
Leach, J. A.; Merkin, J. H.; Scott, S. K.
6
1992
Lyapunov exponent and rotation number of a two-dimensional nilpotent stochastic system. Zbl 0702.93062
Ariaratnam, S. T.; Xie, Wei Chau
6
1990
Bipedal locomotion stabilized by impact and switching. I: Two- and three- dimensional, three-element models. Zbl 0647.70027
Hürmüzlü, Yildirim; Moskowitz, Gordon D.
6
1987
Bipedal locomotion stabilized by impact and switching. II: Structual stability analysis of a four-element bipedal locomotion model. Zbl 0647.70028
Hürmüzlü, Yildirim; Moskowitz, Gordon D.
6
1987
Splitting algorithm for nilpotent normal forms. Zbl 0655.65068
Cushman, Richard; Sanders, Jan A.
6
1987
Non-conservative positional systems - stability. Zbl 0656.70028
Barone-Netto, Angelo; de Oliveira Cesar, Mauro
6
1987
Dynamics of an elastic multibody chain. B: Global dynamics. Zbl 0681.70009
Hughes, P. C.; Sincarsin, G. B.
6
1989
Chaotic motion under parametric excitation. Zbl 0688.58026
Ariaratnam, S. T.; Xie, Wei Chau; Vrscay, E. R.
6
1989
Dynamics of an elastic multibody chain. Part C: Recursive dynamics. Zbl 0764.70003
D’Eleuterio, G. M. T.
5
1992
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
5
1996
Stability properties of the Hopfield-type neural networks. Zbl 0795.93086
Köksal, S.; Sivasundaram, S.
5
1993
Knot-types and bifurcation sequences of homoclinic and transient orbits of a single-degree-of-freedom driven oscillator. Zbl 0829.34038
McRobie, F. A.; Thompson, J. M. T.
5
1994
Mode interactions with symmetry. Zbl 0821.34031
Castro, S. B. S. D.
5
1995
Postbuckling of a twisted prismatic rod under terminal thrust. Zbl 0777.73020
Béda, P. B.; Steindl, A.; Troger, H.
5
1992
Existence of absolutely continuous invariant measures for higher- dimensional random maps. Zbl 0784.93068
Boyarsky, A.; Lou, Y. S.
5
1992
An analysis of a two-cell coupled nonlinear chemical oscillator. Zbl 0761.92048
Leach, J. A.; Merkin, J. H.; Scott, S. K.
5
1991
Control and stabilization of a flexible robot arm. Zbl 0695.93078
Leugering, G.
5
1990
Random and deterministic perturbation of a class of skew-product systems. Zbl 0941.37037
Broomhead, David; Hadjiloucas, Demetris; Nicol, Matthew
5
1999
Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents. Zbl 0938.37030
Ochs, Gunter
5
1999
Double singularity-induced bifurcation points and singular Hopf bifurcations. Zbl 0982.34035
Beardmore, R. E.
5
2000
Isolas, cusps and global bifurcations in an electronic oscillator. Zbl 0940.70018
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
5
1997
On the solution structure of a nonlinear transcendental eigenvalue equation. Zbl 0698.31002
Kelmanson, Mark A.
5
1989
Pattern formation through reaction and diffusion in a simple pooled- chemical system. Zbl 0702.58083
Needham, D. J.; Merkin, J. H.
5
1989
Generic multiparameter bifurcation from a manifold. Zbl 0956.37036
Chillingworth, D. R. J.
5
2000
Nonlinear dynamics of dissipative wave patterns near a bifurcation point. Zbl 0647.34023
Pismen, L. M.
5
1986
Approximate criterion for capsize based on deterministic dynamics. Zbl 0673.34039
Virgin, Lawrence N.
5
1989
On the structural stability of the cubic autocatalytic scheme in a closed vessel. Zbl 0673.93070
Gray, B. F.; Merkin, J. H.; Roberts, M. J.
5
1989
Dynamics of an elastic multibody chain. A: Body motion equations. Zbl 0681.70008
Sincarsin, G. B.; Hughes, P. C.
5
1989
Stabilization of structurally damped systems by time-delayed feedback control. Zbl 0771.93031
Sloss, James M.; Sadek, Ibrahim S.; Bruch, John C. jun.; Adali, Sarp
4
1992
Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077
Impey, Michael; Roberts, Mark; Stewart, Ian
4
1996
Branches of stable three-tori using Hamiltonian methods in Hopf bifurcation on a rhombic lattice. Zbl 0877.34034
Kirk, Vivien; Marsden, Jerrold E.; Silber, Mary
4
1996
Field-line stochasticity in a Tokamak with an ergodic magnetic limiter. Zbl 0876.34066
Viana, Ricardo L.; Vasconcelos, Diógenes B.
4
1997
Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034
Forbes, Lawrence K.; Gray, Brian F.
4
1994
Chaos, coexistence of attractors and fractal basin boundaries of attraction in a model system coupling activation and inhibition in parallel. Zbl 0840.34060
Liu, Junli; Crawford, John; Viola, Roberto
4
1995
Amplitude equations for cellular instabilities. Zbl 0757.93063
Damil, N.; Potier-Ferry, M.
4
1992
Rotating waves in rings of coupled oscillators. Zbl 0934.34029
Laing, Carlo R.
4
1998
Adaptive \(\lambda\)-tracking for polynomial minimum phase systems. Zbl 0929.34051
Ilchmann, Achim
4
1998
Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum. Zbl 0936.34057
Engelborghs, Koen; Roose, Dirk
4
1999
Existence and construction of travelling wavefront solutions of Fisher equations with fourth-order perturbations. Zbl 0986.34039
Gourley, S. A.; Bartuccelli, M. V.
4
2000
Instability and bifurcation near the symplectic 1:4 resonance. Zbl 0926.70022
Bridges, T. J.; Furter, J. E.; Lahiri, A.
4
1997
Symmetry and chaos in the complex Ginzburg-Landau equation. I: Reflectional symmetries. Zbl 0936.35025
Aston, Philip J.; Laing, Carlo R.
4
1999
Efficiency, speed, and scaling of two-dimensional passive-dynamic walking. Zbl 0964.92004
Garcia, Mariano; Chatterjee, Anindya; Ruina, Andy
19
2000
Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms. Zbl 0954.34041
Billingham, John
11
2000
Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems. Zbl 1003.37033
Champneys, Alan R.; Härterich, Jörg
10
2000
The development of spatial structure in an ionic chemical system induced by applied electric fields. Zbl 0968.35119
Merkin, John; Satnoianu, Razvan; Scott, Stephen
8
2000
Reduction of Hamilton’s variational principle. Zbl 1003.70013
Jalnapurkar, Sameer M.; Marsden, Jerrold E.
8
2000
Nonlinear dynamics of the extended Lazer-McKenna bridge oscillation model. Zbl 0952.34042
Doole, S. H.; Hogan, S. J.
8
2000
Small slope implies low speed for McGeer’s passive walking machines. Zbl 0996.92004
Chatterjee, Anindya; Garcia, Mariano
7
2000
Stabilization of linear systems by noise: Application to flow induced oscillations. Zbl 0961.34043
Sri Namachchivaya, N.; Vedula, Lalit
7
2000
Double singularity-induced bifurcation points and singular Hopf bifurcations. Zbl 0982.34035
Beardmore, R. E.
5
2000
Generic multiparameter bifurcation from a manifold. Zbl 0956.37036
Chillingworth, D. R. J.
5
2000
Existence and construction of travelling wavefront solutions of Fisher equations with fourth-order perturbations. Zbl 0986.34039
Gourley, S. A.; Bartuccelli, M. V.
4
2000
Bifurcation sequences in the interaction of resonances in a model deriving from nonlinear rotordynamics: The zipper. Zbl 0955.34029
van der Heijden, G. H. M.
4
2000
Isochronicity-induced bifurcations in systems of weakly dissipative coupled oscillators. Zbl 0976.34033
Ashwin, Peter; Dangelmayr, Gerhard
3
2000
A note on Liapunov’s method. Zbl 1040.34062
Swinnerton-Dyer, Peter
3
2000
Bifurcations and averages in the logistic map. Zbl 0982.37028
de S. Cavalcante, Hugo L. D.; Rios Leite, José R.
3
2000
Heteroclinic cycles and wreath product symmetries. Zbl 0972.37031
Dias, Ana Paula S.; Dionne, Benoit; Stewart, Ian
2
2000
An isolated saddle-node bifurcation occurring inside a horseshoe. Zbl 0979.37019
Cao, Yongluo; Kiriki, Shin
2
2000
Piecewise linear interval maps both expanding and contracting. Zbl 0972.37022
Boudourides, Moses A.; Fotiades, Nikos A.
1
2000
Symmetry and bifurcations of planar configurations of the \(N\)-body and other problems. Zbl 0984.70010
Glass, Kathryn
1
2000
A constructive fixed point theorem for min-max functions. Zbl 0958.47028
Cochet-Terrasson, Jean; Gunawardena, Jeremy; Gaubert, Stéphane
31
1999
Abundance of elliptic isles at conservative bifurcations. Zbl 0947.37014
Duarte, Pedro
22
1999
An explicit description of the Lyapunov exponents of the noisy damped harmonic oscillator. Zbl 0949.34038
Imkeller, Peter; Lederer, Christian
11
1999
The post-processed Galerkin method applied to nonlinear shell vibrations. Zbl 0942.74079
Laing, Carlo R.; McRobie, Allan; Thompson, J. M. T.
8
1999
Forced convective structures in a differential flow reactor. Zbl 0935.35063
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K.
7
1999
Random and deterministic perturbation of a class of skew-product systems. Zbl 0941.37037
Broomhead, David; Hadjiloucas, Demetris; Nicol, Matthew
5
1999
Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents. Zbl 0938.37030
Ochs, Gunter
5
1999
Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum. Zbl 0936.34057
Engelborghs, Koen; Roose, Dirk
4
1999
Symmetry and chaos in the complex Ginzburg-Landau equation. I: Reflectional symmetries. Zbl 0936.35025
Aston, Philip J.; Laing, Carlo R.
4
1999
Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay. Zbl 0931.35189
Schley, D.; Gourley, S. A.
3
1999
Codes for spread sprectrum applications generated using chaotic dynamical systems. Zbl 1028.94001
Broomhead, D. S.; Huke, J. P.; Muldoon, M. R.
3
1999
Examples of non-degenerate and degenerate cuspidal loops in planar systems. Zbl 0930.34031
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.
2
1999
Hopf bifurcation on a simple cubic lattice. Zbl 0936.34028
Dias, Ana Paula S.; Stewart, Ian
1
1999
Dynamics of piecewise linear interval maps with hysteresis. Zbl 0942.37027
Berkolaiko, G.
1
1999
Papers from the UK dynamics days conference, Edinburgh, UK, June 28–July 1, 1998. Zbl 0929.00043
1
1999
The Freedericksz transition as a bifurcation problem. Zbl 0933.35158
Blake, G. I.; Mullin, T.; Tavener, S. J.
1
1999
Order-preserving random dynamical systems: Equilibria, attractors, applications. Zbl 0938.37031
Arnold, Ludwig; Chueshov, Igor
40
1998
On the transition from initial data to travelling waves in the Fisher-KPP equation. Zbl 0912.35084
Sherratt, Jonathan A.
33
1998
The energy-momentum method for the stability of non-holonomic systems. Zbl 0916.70013
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
27
1998
Synchronization in lattices of coupled oscillators with Neumann/periodic boundary conditions. Zbl 1067.34052
Afraimovich, V. S.; Lin, Wen-Wei
19
1998
Delay embedding in the presence of dynamical noise. Zbl 0909.62084
Muldoon, Mark R.; Broomhead, David S.; Huke, Jeremy P.; Hegger, Rainer
8
1998
Rotating waves in rings of coupled oscillators. Zbl 0934.34029
Laing, Carlo R.
4
1998
Adaptive \(\lambda\)-tracking for polynomial minimum phase systems. Zbl 0929.34051
Ilchmann, Achim
4
1998
Hopf bifurcations in three coupled oscillators with internal \(\mathbb{Z}_2\) symmetries. Zbl 0936.34031
Wood, David
2
1998
Phase-space prediction of chaotic time series. Zbl 0984.37103
Yu, Dejin; Lu, Weiping; Harrison, Robert G.
1
1998
Bifurcation at Kirchhoff elliptic vortex with eccentricity \(2\sqrt 2/3\). Zbl 0935.76014
Wan, Yieh-Hei
1
1998
Parametric transverse patterns in broad aperture lasers. Zbl 1017.34037
Grigorieva, E. V.; Kashchenko, S. A.; Mosekilde, E.
1
1998
Transient dynamics of a lightly damped, roll-forced pendulum. Zbl 0939.70018
Todd, Michael D.; Vohra, Sandeep T.
1
1998
Inertial manifolds for dynamics of cells coupled by gap junction. Zbl 0911.34048
Iannelli, Pasquale; Baigent, Steve; Stark, Jaroslav
1
1998
Small noise expansion of moment Lyapunov exponents for two-dimensional systems. Zbl 0890.60055
Arnold, L.; Doyle, M. M.; Sri Namachchivaya, N.
18
1997
Motions of a rimless spoked wheel: A simple three-dimensional system with impacts. Zbl 0932.70007
Coleman, Michael J.; Chatterjee, Anindya; Ruina, Andy
14
1997
Patchiness in plankton populations. Zbl 0872.92016
Matthews, L.; Brindley, J.
14
1997
Dynamics of artificial satellite orbits with tesseral resonances including the effects of luni-solar perturbations. Zbl 0943.70017
Ely, Todd A.; Howell, Kathleen C.
12
1997
Isolas, cusps and global bifurcations in an electronic oscillator. Zbl 0940.70018
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
5
1997
Field-line stochasticity in a Tokamak with an ergodic magnetic limiter. Zbl 0876.34066
Viana, Ricardo L.; Vasconcelos, Diógenes B.
4
1997
Instability and bifurcation near the symplectic 1:4 resonance. Zbl 0926.70022
Bridges, T. J.; Furter, J. E.; Lahiri, A.
4
1997
Analysis of static and dynamic bifurcations from a feedback systems perspective. Zbl 0921.93020
Moiola, Jorge L.; Colantonio, María C.; Doñate, Pedro D.
3
1997
Local consequences of a global model for mountain pine beetle mass attack. Zbl 0889.35113
Powell, James A.; Rose, Jason D.
2
1997
Finite element analysis of the buckling and mode jumping of a rectangular plate. Zbl 0892.73060
Gervais, Jean-Jacques; Oukit, Abderrahmann; Pierre, Roger
2
1997
A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature. Zbl 0876.34045
Sexton, M. J.; Forbes, L. K.; Gray, B. F.
2
1997
Non-critical saddle-node cycles and robust non-hyperbolic dynamics. Zbl 0883.58023
Díaz, Lorenzo J.; Rocha, Jorge
2
1997
Sensitive dependence in control systems and reachable sets. Zbl 0887.93006
Arrowsmith, David K.; Ramsden, Philip
1
1997
Detailed balance in non-equilibrium systems. Zbl 0882.60073
Barra, Felipe; Clerc, Marcel; Tirapegui, Enrique
1
1997
Oscillatory behaviour in a three-component plankton population model. Zbl 0871.92029
Edwards, Andrew M.; Brindley, John
60
1996
A piecewise linear suspension bridge model: Nonlinear dynamics and orbit continuation. Zbl 0855.34041
Doole, S. H.; Hogan, S. J.
28
1996
Global first harmonic bifurcation diagram for odd piecewise linear control systems. Zbl 0855.93037
Llibre, Jaume; Ponce, Enrique
15
1996
Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065
Zhang, Weinian; Stewart, Ian
13
1996
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
5
1996
Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077
Impey, Michael; Roberts, Mark; Stewart, Ian
4
1996
Branches of stable three-tori using Hamiltonian methods in Hopf bifurcation on a rhombic lattice. Zbl 0877.34034
Kirk, Vivien; Marsden, Jerrold E.; Silber, Mary
4
1996
Oscillatory and chaotic wakes behind moving boundaries in reaction-diffusion systems. Zbl 0877.35058
Sherratt, Jonathan A.
3
1996
Hyperbolicity of a special one-parameter family with a first homoclinic tangency. Zbl 1075.37515
Kiriki, Shin
2
1996
Neuronal population dynamics with post inhibitory rebound: A reduction to piecewise linear discontinuous circle maps. Zbl 0864.92008
Coombes, S.; Doole, S. H.
2
1996
An exothermic chemical reaction with linear feedback control. Zbl 0864.92018
Sexton, M. J.; Forbes, L. K.
2
1996
Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two. Zbl 0867.34036
Bai, Fengshan; Champneys, Alan R.
2
1996
Singularities of equations of Hodgkin-Huxley type. Zbl 0851.34044
Labouriau, Isabel Salgado; Ruas, Maria Aparecida Soares
1
1996
The consequences of interactive noise for understanding the dynamics of complex biochemical systems. Zbl 0853.92008
Liu, Junli; Crawford, John W.; Viola, Roberto
1
1996
Periodic solutions in systems of piecewise-linear differential equations. Zbl 0833.34027
Mestl, Thomas; Plahte, Erik; Omholt, Stig W.
30
1995
On the shape and dimension of the Lorenz attractor. Zbl 0838.34070
Doering, Charles R.; Gibbon, J. D.
19
1995
Global stabilization of the spinning top with mass imbalance. Zbl 0837.93048
Lum, Kai-Yew; Bernstein, Dennis S.; Coppola, Vincent T.
12
1995
Pattern evocation and geometric phases in mechanical systems with symmetry. Zbl 0855.70011
Marsden, Jerrold E.; Scheurle, Jürgen
9
1995
Whiskered tori with prefixed frequencies and Lyapunov spectrum. Zbl 0841.58023
Gentile, Guido
8
1995
Stability of power law fluid flow between rotating cylinders. Zbl 0820.76039
Pascal, J. P.; Rasmussen, H.
6
1995
Mode interactions with symmetry. Zbl 0821.34031
Castro, S. B. S. D.
5
1995
Chaos, coexistence of attractors and fractal basin boundaries of attraction in a model system coupling activation and inhibition in parallel. Zbl 0840.34060
Liu, Junli; Crawford, John; Viola, Roberto
4
1995
Bifurcations and rotation numbers for maps of the circle associated with flows on the torus and models of cardiac arrhythmias. Zbl 0844.34041
Glendinning, Paul
3
1995
Nonlinear dynamics of space-independent xenon oscillations. Zbl 0824.34038
Rizwan-uddin
1
1995
Weak coupling of strongly nonlinear, weakly dissipative identical oscillators. Zbl 0843.34042
Ashwin, Peter
1
1995
Limit systems, limit gains and non-generic behaviors arising in adaptive stabilizing control. Zbl 0843.93067
Triantafillidis, S.; Leach, J. A.; Owens, D. H.; Townley, S.
1
1995
Dynamic instability of composite-material drive shaft subject to fluctuating torque and/or rotational speed. Zbl 0831.73025
Bert, Charles W.; Kim, Chun-Do
1
1995
Stability results for impulsive differential systems with applications to population growth models. Zbl 0808.34056
Liu, Xinzhi
75
1994
Global analysis of steady points for systems of differential equations with sigmoid interactions. Zbl 0821.34025
Plahte, Erik; Mestl, Thomas; Omholt, Stig. W.
22
1994
Oscillation and global stability in a delay logistic equation. Zbl 0806.34069
Ladas, G.; Qian, C.
18
1994
On meromorphic complex differential equations. Zbl 0813.34005
Needham, D. J.; King, A. C.
13
1994
Periodic oscillations and attracting basins for a parametrically excited pendulum. Zbl 0807.34056
Capecchi, Danilo; Bishop, Steven R.
11
1994
Stability of a second-order differential equation with retarded argument. Zbl 0807.34086
Bajnov, D.; Domoshnitsky, A.
8
1994
Knot-types and bifurcation sequences of homoclinic and transient orbits of a single-degree-of-freedom driven oscillator. Zbl 0829.34038
McRobie, F. A.; Thompson, J. M. T.
5
1994
Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034
Forbes, Lawrence K.; Gray, Brian F.
4
1994
On the geometry and dynamics of floating four-bar linkages. Zbl 0800.93829
Yang, Rui; Krishnaprasad, P. S.
2
1994
Symmetry-breaking bifurcations on multidimensional fixed point subspaces. Zbl 0829.34031
Lari-Lavassani, Ali; Langford, William F.; Huseyin, Koncay
2
1994
Robust stability bounds for multi-degree-of-freedom linear systems with structured perturbations. Zbl 0809.93043
Cao, D. Q.; Shu, Z. Z.
1
1994
...and 97 more Documents
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Cited by 2,115 Authors

24 Liu, Xinzhi
20 Jiang, Jifa
15 Niu, Lei
14 Merkin, John H.
13 Marsden, Jerrold Eldon
11 Yu, Pei
10 Stewart, Ian Nicholas
10 Yan, Jurang
9 Atanackovic, Teodor M.
9 Celletti, Alessandra
9 Gaubert, Stéphane
9 Gyllenberg, Mats
9 Llibre, Jaume
9 Obaya, Rafael
8 Berezansky, Leonid M.
8 Chen, Fangqi
8 Chen, Lansun
8 Edwards, Roderick
8 Hou, Zhanyuan
8 Knobloch, Edgar
8 Liu, Bin
7 Bloch, Anthony Michael
7 Caraballo Garrido, Tomás
7 Gopalsamy, Kondalsamy
7 Langa, Jose’ Antonio
7 Liu, Gui Rong
7 Liu, Xianbin
7 Needham, David John
7 Richard, Adrien
7 Teng, Zhi-dong
7 Wang, Yi
7 Yan, Ping
7 Yang, Zhihui
6 Ashwin, Peter
6 Braverman, Elena
6 Domoshnitsky, Alexander I.
6 Galeş, Cătălin Bogdan
6 Gentile, Guido
6 Glass, Leon
6 Gouzé, Jean-Luc
6 Haddad, Wassim Michael
6 Kounadis, Anthony N.
6 Li, Yongkun
6 Lu, Zhengyi
6 Rodríguez-Luis, Alejandro J.
6 Sanz, Ana M.
6 Scott, Stephen K.
6 Tang, Sanyi
6 Wiggins, Stephen R.
6 Wu, Jianhong
6 Zhang, Weinian
5 Agarwal, Ravi P.
5 Algaba, Antonio
5 Alwan, Mohamad S.
5 Asano, Fumihiko
5 Bartuccelli, Michele V.
5 Belghith, Safya
5 Bessa, Mário
5 Bi, Qinsheng
5 Cao, Jinde
5 Champneys, Alan R.
5 Chaves, Madalena
5 Chen, Yushu
5 Golubitsky, Martin A.
5 González-Tokman, Cecilia
5 Gritli, Hassene
5 Hammami, Mohamed Ali
5 Hurmuzlu, Yildirim
5 Huseyin, Koncay
5 Katz, Ricardo David
5 Kozić, Predrag
5 Kuang, Yang
5 Leach, Jannie A.
5 Leitmann, George
5 Li, Wan-Tong
5 Nie, Linfei
5 Pavlović, Ratko G.
5 Ponce, Enrique
5 Sadek, Ibrahim S.
5 Saker, Samir H.
5 Viana, Ricardo Luiz
5 Zhu, Changrong
4 Baigent, Stephen A.
4 Baxendale, Peter H.
4 Berger, Pierre
4 Bo, Wei-Jian
4 Bridges, Thomas J.
4 Brindley, John
4 Chellaboina, Vijaysekhar
4 Chen, Chiun-Chuan
4 Damil, Noureddine
4 Dangelmayr, Gerhard
4 Dawes, Jonathan H. P.
4 Forbes, Lawrence K.
4 Ge, Weigao
4 Georgievskiĭ, Dmitriĭ Vladimirovich
4 Glavardanov, Valentin B.
4 Hu, Lin
4 Hung, Li-Chang
4 Janevski, Goran
...and 2,015 more Authors
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Cited in 274 Journals

81 Physica D
47 Dynamics and Stability of Systems
46 Journal of Differential Equations
45 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
43 Chaos, Solitons and Fractals
42 Nonlinear Dynamics
41 Journal of Mathematical Analysis and Applications
41 Applied Mathematics and Computation
34 Chaos
32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Communications in Nonlinear Science and Numerical Simulation
26 Nonlinear Analysis. Real World Applications
23 Dynamical Systems
21 Journal of Theoretical Biology
20 Journal of Mathematical Biology
20 Bulletin of Mathematical Biology
19 Mathematical and Computer Modelling
17 Computers & Mathematics with Applications
17 Physics Letters. A
17 Journal of Dynamics and Differential Equations
15 Applied Mathematical Modelling
14 Journal of Fluid Mechanics
14 Journal of Computational and Applied Mathematics
13 Automatica
13 SIAM Journal on Applied Dynamical Systems
12 Acta Mechanica
12 Journal of Mathematical Physics
11 Discrete and Continuous Dynamical Systems
11 Discrete and Continuous Dynamical Systems. Series B
10 Journal of the Franklin Institute
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Multibody System Dynamics
10 Qualitative Theory of Dynamical Systems
9 Nonlinearity
9 Applied Mathematics Letters
8 Mathematical Methods in the Applied Sciences
8 Physica A
8 Mathematics and Computers in Simulation
8 Proceedings of the American Mathematical Society
8 Systems & Control Letters
8 Celestial Mechanics and Dynamical Astronomy
8 Journal of Nonlinear Science
8 Journal of Difference Equations and Applications
8 Journal of Applied Mathematics
8 Stochastics and Dynamics
7 Communications in Mathematical Physics
7 International Journal of Control
7 Applied Mathematics and Mechanics. (English Edition)
7 Journal of Mathematical Chemistry
7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Journal of Biological Dynamics
6 Archive for Rational Mechanics and Analysis
6 International Journal of Engineering Science
6 International Journal for Numerical Methods in Engineering
6 Meccanica
6 Linear Algebra and its Applications
6 Mathematical Problems in Engineering
6 Abstract and Applied Analysis
6 European Journal of Mechanics. A. Solids
6 Regular and Chaotic Dynamics
6 The ANZIAM Journal
5 International Journal of Systems Science
5 Journal of Engineering Mathematics
5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
5 Stochastic Analysis and Applications
5 Japan Journal of Industrial and Applied Mathematics
5 Stochastic Processes and their Applications
5 Physics of Fluids
5 Journal of Inequalities and Applications
5 Advances in Difference Equations
5 Mathematical Biosciences and Engineering
5 International Journal of Biomathematics
5 Nonlinear Analysis. Theory, Methods & Applications
4 Mathematical Biosciences
4 Reports on Mathematical Physics
4 Journal of Optimization Theory and Applications
4 Transactions of the American Mathematical Society
4 Ergodic Theory and Dynamical Systems
4 Acta Applicandae Mathematicae
4 MCSS. Mathematics of Control, Signals, and Systems
4 SIAM Journal on Applied Mathematics
4 International Journal of Robust and Nonlinear Control
4 Journal of Mathematical Sciences (New York)
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Applicable Analysis
3 Discrete Applied Mathematics
3 Journal of the Mechanics and Physics of Solids
3 Reviews in Mathematical Physics
3 Journal of Geometry and Physics
3 The Annals of Probability
3 Kybernetika
3 Theoretical Computer Science
3 Theoretical Population Biology
3 Acta Mathematicae Applicatae Sinica. English Series
3 Probability Theory and Related Fields
3 Journal of Robotic Systems
3 European Journal of Applied Mathematics
3 Discrete Event Dynamic Systems
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
...and 174 more Journals
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Cited in 51 Fields

531 Ordinary differential equations (34-XX)
448 Dynamical systems and ergodic theory (37-XX)
406 Biology and other natural sciences (92-XX)
194 Partial differential equations (35-XX)
190 Mechanics of particles and systems (70-XX)
180 Systems theory; control (93-XX)
111 Mechanics of deformable solids (74-XX)
87 Fluid mechanics (76-XX)
70 Numerical analysis (65-XX)
66 Probability theory and stochastic processes (60-XX)
39 Operator theory (47-XX)
31 Classical thermodynamics, heat transfer (80-XX)
25 Difference and functional equations (39-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Statistical mechanics, structure of matter (82-XX)
23 Information and communication theory, circuits (94-XX)
20 Global analysis, analysis on manifolds (58-XX)
17 Combinatorics (05-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Computer science (68-XX)
15 Operations research, mathematical programming (90-XX)
13 Statistics (62-XX)
12 Integral equations (45-XX)
9 Differential geometry (53-XX)
6 Functions of a complex variable (30-XX)
5 Quantum theory (81-XX)
4 Real functions (26-XX)
4 Convex and discrete geometry (52-XX)
3 History and biography (01-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Algebraic geometry (14-XX)
3 Measure and integration (28-XX)
3 Several complex variables and analytic spaces (32-XX)
3 General topology (54-XX)
3 Optics, electromagnetic theory (78-XX)
3 Geophysics (86-XX)
2 General and overarching topics; collections (00-XX)
2 Commutative algebra (13-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Astronomy and astrophysics (85-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

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