# zbMATH — the first resource for mathematics

## 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: No longer indexed
 Documents Indexed: 260 Publications (1986–2000) References Indexed: 253 Publications with 4,582 References.
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#### Latest Issues

 15, No. 4 (2000) 15, No. 3 (2000) 15, No. 2 (2000) 15, No. 1 (2000) 14, No. 4 (1999) 14, No. 3 (1999) 14, No. 2 (1999) 14, No. 1 (1999) 13, No. 4 (1998) 13, No. 3 (1998) 13, No. 2 (1998) 13, No. 1 (1998) 12, No. 4 (1997) 12, No. 3 (1997) 12, No. 2 (1997) 12, No. 1 (1997) 11, No. 4 (1996) 11, No. 3 (1996) 11, No. 2 (1996) 11, No. 1 (1996) 10, No. 4 (1995) 10, No. 3 (1995) 10, No. 2 (1995) 10, No. 1 (1995) 9, No. 4 (1994) 9, No. 3 (1994) 9, No. 2 (1994) 9, No. 1 (1994) 8, No. 4 (1993) 8, No. 3 (1993) 8, No. 2 (1993) 8, No. 1 (1993) 7, No. 4 (1992) 7, No. 3 (1992) 7, No. 2 (1992) 7, No. 1 (1992) 6, No. 4 (1991) 6, No. 3 (1991) 6, No. 2 (1991) 6, No. 1 (1991) 5, No. 4 (1990) 5, No. 3 (1990) 5, No. 2 (1990) 5, No. 1 (1990) 4, No. 3-4 (1989) 4, No. 2 (1989) 4, No. 1 (1989) 3, No. 3-4 (1988) 3, No. 1-2 (1988) 2, No. 3-4 (1987) 2, No. 2 (1987) 2, No. 1 (1987) 1, No. 4 (1986) 1, No. 3 (1986) 1, No. 2 (1986) 1, No. 1 (1986)
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#### 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 235 more Authors
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#### Fields

 105 Ordinary differential equations (34-XX) 82 Dynamical systems and ergodic theory (37-XX) 52 Mechanics of particles and systems (70-XX) 47 Systems theory; control (93-XX) 40 Biology and other natural sciences (92-XX) 30 Mechanics of deformable solids (74-XX) 23 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Probability theory and stochastic processes (60-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

193 Publications have been cited 1,358 times in 1,233 Documents Cited by Year
Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems. Zbl 0797.92025
Zeeman, M. L.
1993
Stability results for impulsive differential systems with applications to population growth models. Zbl 0808.34056
Liu, Xinzhi
1994
On a neutral delay logistic equation. Zbl 0665.34066
Gopalsamy, K.; Zhang, B. G.
1987
Oscillatory behaviour in a three-component plankton population model. Zbl 0871.92029
Edwards, Andrew M.; Brindley, John
1996
Steady-state mode interactions in the presence of O(2)-symmetry. Zbl 0661.58022
Dangelmayr, Gerhard
1986
Order-preserving random dynamical systems: Equilibria, attractors, applications. Zbl 0938.37031
Arnold, Ludwig; Chueshov, Igor
1998
Qualitative dynamics of piecewise-linear differential equations: A discrete mapping approach. Zbl 0678.34010
Snoussi, El Houssine
1989
A constructive fixed point theorem for min-max functions. Zbl 0958.47028
Cochet-Terrasson, Jean; Gunawardena, Jeremy; Gaubert, Stéphane
1999
Periodic solutions in systems of piecewise-linear differential equations. Zbl 0833.34027
Mestl, Thomas; Plahte, Erik; Omholt, Stig W.
1995
On the transition from initial data to travelling waves in the Fisher-KPP equation. Zbl 0912.35084
Sherratt, Jonathan A.
1998
A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis. Zbl 0737.35031
Billingham, J.; Needham, D. J.
1991
A piecewise linear suspension bridge model: Nonlinear dynamics and orbit continuation. Zbl 0855.34041
Doole, S. H.; Hogan, S. J.
1996
The energy-momentum method for the stability of non-holonomic systems. Zbl 0916.70013
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
1998
On neutral delay logistic Gause-type predator-prey systems. Zbl 0728.92016
Kuang, Yang
1991
Global bifurcation and chaos in parametrically forced systems with one- one resonance. Zbl 0727.34027
Feng, Z. C.; Sethna, P. R.
1990
Small noise expansion of moment Lyapunov exponents for two-dimensional systems. Zbl 0890.60055
Arnold, L.; Doyle, M. M.; Sri Namachchivaya, N.
1997
Global analysis of steady points for systems of differential equations with sigmoid interactions. Zbl 0821.34025
Plahte, Erik; Mestl, Thomas; Omholt, Stig. W.
1994
Abundance of elliptic isles at conservative bifurcations. Zbl 0947.37014
Duarte, Pedro
1999
Oscillation and global stability in a delay logistic equation. Zbl 0806.34069
1994
Oscillations and global attractivity in respiratory dynamics. Zbl 0683.92009
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
1989
Synchronization in lattices of coupled oscillators with Neumann/periodic boundary conditions. Zbl 1067.34052
Afraimovich, V. S.; Lin, Wen-Wei
1998
Global first harmonic bifurcation diagram for odd piecewise linear control systems. Zbl 0855.93037
Llibre, Jaume; Ponce, Enrique
1996
Static and dynamic bifurcations associated with a double-zero eigenvalue. Zbl 0647.34036
Yu, Pei; Huseyin, K.
1986
On the shape and dimension of the Lorenz attractor. Zbl 0838.34070
Doering, Charles R.; Gibbon, J. D.
1995
Motions of a rimless spoked wheel: A simple three-dimensional system with impacts. Zbl 0932.70007
Coleman, Michael J.; Chatterjee, Anindya; Ruina, Andy
1997
The role of impact in the stability of bipedal locomotion. Zbl 0647.70026
Hürmüzlü, Yildirim; Moskowitz, Gordon D.
1986
Efficiency, speed, and scaling of two-dimensional passive-dynamic walking. Zbl 0964.92004
Garcia, Mariano; Chatterjee, Anindya; Ruina, Andy
2000
Normal form analysis of stochastically forced dynamical systems. Zbl 0645.60069
Nicolis, C.; Nicolis, G.
1986
Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation. Zbl 0764.34049
Gopalsamy, K.; Lalli, B. S.
1992
Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065
Zhang, Weinian; Stewart, Ian
1996
Patchiness in plankton populations. Zbl 0872.92016
Matthews, L.; Brindley, J.
1997
Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms. Zbl 0954.34041
Billingham, John
2000
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.
1988
Dynamics of artificial satellite orbits with tesseral resonances including the effects of luni-solar perturbations. Zbl 0943.70017
Ely, Todd A.; Howell, Kathleen C.
1997
Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems. Zbl 1003.37033
Champneys, Alan R.; Härterich, Jörg
2000
On meromorphic complex differential equations. Zbl 0813.34005
Needham, D. J.; King, A. C.
1994
Classification of one-state-variable bifurcation problems up to codimension seven. Zbl 0647.34035
Keyfitz, Barbara Lee
1986
A singularity theory analysis of bifurcation problems with octahedral symmetry. Zbl 0665.34034
Melbourne, Ian
1986
Hopf-Hopf mode interactions with O(2) symmetry. Zbl 0656.34020
Chossat, Pascal; Golubitsky, Martin; Keyfitz, Barbara Lee
1986
1988
Hopf-steady-state mode interactions with O(2) symmetry. Zbl 0826.34036
Hill, Andrew; Stewart, Ian
1991
Whiskered tori with prefixed frequencies and Lyapunov spectrum. Zbl 0841.58023
Gentile, Guido
1995
Pattern evocation and geometric phases in mechanical systems with symmetry. Zbl 0855.70011
Marsden, Jerrold E.; Scheurle, Jürgen
1995
Global stabilization of the spinning top with mass imbalance. Zbl 0837.93048
Lum, Kai-Yew; Bernstein, Dennis S.; Coppola, Vincent T.
1995
Reduction of Hamilton’s variational principle. Zbl 1003.70013
Jalnapurkar, Sameer M.; Marsden, Jerrold E.
2000
Corank-two bifurcations for the Brusselator with non-flux boundary conditions. Zbl 0647.34037
Armbruster, D.; Dangelmayr, G.
1986
Modulated rotating waves in O(2) mode interactions. Zbl 0681.58029
Crawford, John David; Golubitsky, Martin; Langford, William F.
1988
Delay embedding in the presence of dynamical noise. Zbl 0909.62084
Muldoon, Mark R.; Broomhead, David S.; Huke, Jeremy P.; Hegger, Rainer
1998
An explicit description of the Lyapunov exponents of the noisy damped harmonic oscillator. Zbl 0949.34038
Imkeller, Peter; Lederer, Christian
1999
The development of spatial structure in an ionic chemical system induced by applied electric fields. Zbl 0968.35119
Merkin, John; Satnoianu, Razvan; Scott, Stephen
2000
Nonlinear dynamics of the extended Lazer-McKenna bridge oscillation model. Zbl 0952.34042
Doole, S. H.; Hogan, S. J.
2000
Stabilization of linear systems by noise: Application to flow induced oscillations. Zbl 0961.34043
Sri Namachchivaya, N.; Vedula, Lalit
2000
Periodic oscillations and attracting basins for a parametrically excited pendulum. Zbl 0807.34056
Capecchi, Danilo; Bishop, Steven R.
1994
Stability of a second-order differential equation with retarded argument. Zbl 0807.34086
Bajnov, D.; Domoshnitsky, A.
1994
Bipedal locomotion stabilized by impact and switching. I: Two- and three- dimensional, three-element models. Zbl 0647.70027
Hürmüzlü, Yildirim; Moskowitz, Gordon D.
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.
1987
Splitting algorithm for nilpotent normal forms. Zbl 0655.65068
Cushman, Richard; Sanders, Jan A.
1987
Dynamics of an elastic multibody chain. B: Global dynamics. Zbl 0681.70009
Hughes, P. C.; Sincarsin, G. B.
1989
Chaotic motion under parametric excitation. Zbl 0688.58026
Ariaratnam, S. T.; Xie, Wei Chau; Vrscay, E. R.
1989
Numerical investigations of the constant and periodic motions of the human vocal cords including stability and bifurcation phenomena. Zbl 0694.34032
Awrejcewicz, J.
1990
Lyapunov exponent and rotation number of a two-dimensional nilpotent stochastic system. Zbl 0702.93062
Ariaratnam, S. T.; Xie, Wei Chau
1990
The post-processed Galerkin method applied to nonlinear shell vibrations. Zbl 0942.74079
Laing, Carlo R.; McRobie, Allan; Thompson, J. M. T.
1999
Stability of power law fluid flow between rotating cylinders. Zbl 0820.76039
Pascal, J. P.; Rasmussen, H.
1995
Forced convective structures in a differential flow reactor. Zbl 0935.35063
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K.
1999
Small slope implies low speed for McGeer’s passive walking machines. Zbl 0996.92004
Chatterjee, Anindya; Garcia, Mariano
2000
Postbuckling of a twisted prismatic rod under terminal thrust. Zbl 0777.73020
Béda, P. B.; Steindl, A.; Troger, H.
1992
Stability properties of the Hopfield-type neural networks. Zbl 0795.93086
Köksal, S.; Sivasundaram, S.
1993
Nonlinear dynamics of dissipative wave patterns near a bifurcation point. Zbl 0647.34023
Pismen, L. M.
1986
Dynamics of an elastic multibody chain. A: Body motion equations. Zbl 0681.70008
Sincarsin, G. B.; Hughes, P. C.
1989
Control and stabilization of a flexible robot arm. Zbl 0695.93078
Leugering, G.
1990
On the solution structure of a nonlinear transcendental eigenvalue equation. Zbl 0698.31002
Kelmanson, Mark A.
1989
Dynamics of an elastic multibody chain. Part C: Recursive dynamics. Zbl 0764.70003
D’Eleuterio, G. M. T.
1992
Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents. Zbl 0938.37030
Ochs, Gunter
1999
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.
1994
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
1996
Double singularity-induced bifurcation points and singular Hopf bifurcations. Zbl 0982.34035
Beardmore, R. E.
2000
Generic multiparameter bifurcation from a manifold. Zbl 0956.37036
Chillingworth, D. R. J.
2000
Existence of absolutely continuous invariant measures for higher- dimensional random maps. Zbl 0784.93068
Boyarsky, A.; Lou, Y. S.
1992
On the modal approach to the stability of certain non-selfadjoint problems in elasto-dynamics. Zbl 0651.73017
Leipholz, H. H. E.
1986
Towards a classification of generic bifurctions in dissipative dynamical systems. Zbl 0661.34039
Stewart, H. B.; Thompson, J. M. T.
1986
Stability of periodic solutions in symmetric Hopf bifurcation. Zbl 0666.58032
Stewart, Ian
1987
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.
1989
Pattern formation through reaction and diffusion in a simple pooled- chemical system. Zbl 0702.58083
Needham, D. J.; Merkin, J. H.
1989
Amplitude equations for cellular instabilities. Zbl 0757.93063
Damil, N.; Potier-Ferry, M.
1992
An analysis of a two-cell coupled nonlinear chemical oscillator. Zbl 0761.92048
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1991
Instability and bifurcation near the symplectic 1:4 resonance. Zbl 0926.70022
Bridges, T. J.; Furter, J. E.; Lahiri, A.
1997
Isolas, cusps and global bifurcations in an electronic oscillator. Zbl 0940.70018
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
1997
Adaptive $$\lambda$$-tracking for polynomial minimum phase systems. Zbl 0929.34051
Ilchmann, Achim
1998
Mode interactions with symmetry. Zbl 0821.34031
Castro, S. B. S. D.
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
1995
Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077
Impey, Michael; Roberts, Mark; Stewart, Ian
1996
Field-line stochasticity in a Tokamak with an ergodic magnetic limiter. Zbl 0876.34066
Viana, Ricardo L.; Vasconcelos, Diógenes B.
1997
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.
2000
Two-cell coupled cubic autocatalator: The effect of the uncatalysed reaction. Zbl 0782.92023
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1992
Dynamic stiffness and response analysis. Zbl 0646.70030
Leung, A. Y. T.
1987
Non-conservative positional systems - stability. Zbl 0656.70028
Barone-Netto, Angelo; de Oliveira Cesar, Mauro
1987
Nonlinear dynamics of tubes carrying a pulsatile flow. Zbl 0657.76048
Bajaj, A. K.
1987
A composite controller ensuring ultimate boundedness for a class of singularly perturbed uncertain systems. Zbl 0662.93033
Garofalo, F.; Leitmann, G.
1988
Feedback control of vibrations in an extendible cantilever wing. Zbl 0662.93056
Wang, P. K. C.
1988
Low-gain control of unknown infinite-dimensional systems: A frequency- domain approach. Zbl 0673.93068
Logemann, Hartmut; Owens, David H.
1989
Efficiency, speed, and scaling of two-dimensional passive-dynamic walking. Zbl 0964.92004
Garcia, Mariano; Chatterjee, Anindya; Ruina, Andy
2000
Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms. Zbl 0954.34041
Billingham, John
2000
Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems. Zbl 1003.37033
Champneys, Alan R.; Härterich, Jörg
2000
Reduction of Hamilton’s variational principle. Zbl 1003.70013
Jalnapurkar, Sameer M.; Marsden, Jerrold E.
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
2000
Nonlinear dynamics of the extended Lazer-McKenna bridge oscillation model. Zbl 0952.34042
Doole, S. H.; Hogan, S. J.
2000
Stabilization of linear systems by noise: Application to flow induced oscillations. Zbl 0961.34043
Sri Namachchivaya, N.; Vedula, Lalit
2000
Small slope implies low speed for McGeer’s passive walking machines. Zbl 0996.92004
Chatterjee, Anindya; Garcia, Mariano
2000
Double singularity-induced bifurcation points and singular Hopf bifurcations. Zbl 0982.34035
Beardmore, R. E.
2000
Generic multiparameter bifurcation from a manifold. Zbl 0956.37036
Chillingworth, D. R. J.
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.
2000
Isochronicity-induced bifurcations in systems of weakly dissipative coupled oscillators. Zbl 0976.34033
Ashwin, Peter; Dangelmayr, Gerhard
2000
Heteroclinic cycles and wreath product symmetries. Zbl 0972.37031
Dias, Ana Paula S.; Dionne, Benoit; Stewart, Ian
2000
Existence and construction of travelling wavefront solutions of Fisher equations with fourth-order perturbations. Zbl 0986.34039
Gourley, S. A.; Bartuccelli, M. V.
2000
An isolated saddle-node bifurcation occurring inside a horseshoe. Zbl 0979.37019
Cao, Yongluo; Kiriki, Shin
2000
Piecewise linear interval maps both expanding and contracting. Zbl 0972.37022
Boudourides, Moses A.; Fotiades, Nikos A.
2000
A note on Liapunov’s method. Zbl 1040.34062
Swinnerton-Dyer, Peter
2000
Bifurcations and averages in the logistic map. Zbl 0982.37028
de S. Cavalcante, Hugo L. D.; Rios Leite, José R.
2000
Symmetry and bifurcations of planar configurations of the $$N$$-body and other problems. Zbl 0984.70010
Glass, Kathryn
2000
A constructive fixed point theorem for min-max functions. Zbl 0958.47028
Cochet-Terrasson, Jean; Gunawardena, Jeremy; Gaubert, Stéphane
1999
Abundance of elliptic isles at conservative bifurcations. Zbl 0947.37014
Duarte, Pedro
1999
An explicit description of the Lyapunov exponents of the noisy damped harmonic oscillator. Zbl 0949.34038
Imkeller, Peter; Lederer, Christian
1999
The post-processed Galerkin method applied to nonlinear shell vibrations. Zbl 0942.74079
Laing, Carlo R.; McRobie, Allan; Thompson, J. M. T.
1999
Forced convective structures in a differential flow reactor. Zbl 0935.35063
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K.
1999
Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents. Zbl 0938.37030
Ochs, Gunter
1999
Symmetry and chaos in the complex Ginzburg-Landau equation. I: Reflectional symmetries. Zbl 0936.35025
Aston, Philip J.; Laing, Carlo R.
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
1999
Random and deterministic perturbation of a class of skew-product systems. Zbl 0941.37037
1999
Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay. Zbl 0931.35189
Schley, D.; Gourley, S. A.
1999
Codes for spread sprectrum applications generated using chaotic dynamical systems. Zbl 1028.94001
Broomhead, D. S.; Huke, J. P.; Muldoon, M. R.
1999
Examples of non-degenerate and degenerate cuspidal loops in planar systems. Zbl 0930.34031
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.
1999
Hopf bifurcation on a simple cubic lattice. Zbl 0936.34028
Dias, Ana Paula S.; Stewart, Ian
1999
Dynamics of piecewise linear interval maps with hysteresis. Zbl 0942.37027
Berkolaiko, G.
1999
Papers from the UK dynamics days conference, Edinburgh, UK, June 28–July 1, 1998. Zbl 0929.00043
1999
The Freedericksz transition as a bifurcation problem. Zbl 0933.35158
Blake, G. I.; Mullin, T.; Tavener, S. J.
1999
Order-preserving random dynamical systems: Equilibria, attractors, applications. Zbl 0938.37031
Arnold, Ludwig; Chueshov, Igor
1998
On the transition from initial data to travelling waves in the Fisher-KPP equation. Zbl 0912.35084
Sherratt, Jonathan A.
1998
The energy-momentum method for the stability of non-holonomic systems. Zbl 0916.70013
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
1998
Synchronization in lattices of coupled oscillators with Neumann/periodic boundary conditions. Zbl 1067.34052
Afraimovich, V. S.; Lin, Wen-Wei
1998
Delay embedding in the presence of dynamical noise. Zbl 0909.62084
Muldoon, Mark R.; Broomhead, David S.; Huke, Jeremy P.; Hegger, Rainer
1998
Adaptive $$\lambda$$-tracking for polynomial minimum phase systems. Zbl 0929.34051
Ilchmann, Achim
1998
Rotating waves in rings of coupled oscillators. Zbl 0934.34029
Laing, Carlo R.
1998
Hopf bifurcations in three coupled oscillators with internal $$\mathbb{Z}_2$$ symmetries. Zbl 0936.34031
Wood, David
1998
Inertial manifolds for dynamics of cells coupled by gap junction. Zbl 0911.34048
Iannelli, Pasquale; Baigent, Steve; Stark, Jaroslav
1998
Phase-space prediction of chaotic time series. Zbl 0984.37103
Yu, Dejin; Lu, Weiping; Harrison, Robert G.
1998
Bifurcation at Kirchhoff elliptic vortex with eccentricity $$2\sqrt 2/3$$. Zbl 0935.76014
Wan, Yieh-Hei
1998
Parametric transverse patterns in broad aperture lasers. Zbl 1017.34037
Grigorieva, E. V.; Kashchenko, S. A.; Mosekilde, E.
1998
Transient dynamics of a lightly damped, roll-forced pendulum. Zbl 0939.70018
Todd, Michael D.; Vohra, Sandeep T.
1998
Small noise expansion of moment Lyapunov exponents for two-dimensional systems. Zbl 0890.60055
Arnold, L.; Doyle, M. M.; Sri Namachchivaya, N.
1997
Motions of a rimless spoked wheel: A simple three-dimensional system with impacts. Zbl 0932.70007
Coleman, Michael J.; Chatterjee, Anindya; Ruina, Andy
1997
Patchiness in plankton populations. Zbl 0872.92016
Matthews, L.; Brindley, J.
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.
1997
Instability and bifurcation near the symplectic 1:4 resonance. Zbl 0926.70022
Bridges, T. J.; Furter, J. E.; Lahiri, A.
1997
Isolas, cusps and global bifurcations in an electronic oscillator. Zbl 0940.70018
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
1997
Field-line stochasticity in a Tokamak with an ergodic magnetic limiter. Zbl 0876.34066
Viana, Ricardo L.; Vasconcelos, Diógenes B.
1997
Analysis of static and dynamic bifurcations from a feedback systems perspective. Zbl 0921.93020
Moiola, Jorge L.; Colantonio, María C.; Doñate, Pedro D.
1997
Local consequences of a global model for mountain pine beetle mass attack. Zbl 0889.35113
Powell, James A.; Rose, Jason D.
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.
1997
Non-critical saddle-node cycles and robust non-hyperbolic dynamics. Zbl 0883.58023
Díaz, Lorenzo J.; Rocha, Jorge
1997
Finite element analysis of the buckling and mode jumping of a rectangular plate. Zbl 0892.73060
Gervais, Jean-Jacques; Oukit, Abderrahmann; Pierre, Roger
1997
Oscillatory behaviour in a three-component plankton population model. Zbl 0871.92029
Edwards, Andrew M.; Brindley, John
1996
A piecewise linear suspension bridge model: Nonlinear dynamics and orbit continuation. Zbl 0855.34041
Doole, S. H.; Hogan, S. J.
1996
Global first harmonic bifurcation diagram for odd piecewise linear control systems. Zbl 0855.93037
Llibre, Jaume; Ponce, Enrique
1996
Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065
Zhang, Weinian; Stewart, Ian
1996
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
1996
Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077
Impey, Michael; Roberts, Mark; Stewart, Ian
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
1996
Hyperbolicity of a special one-parameter family with a first homoclinic tangency. Zbl 1075.37515
Kiriki, Shin
1996
Neuronal population dynamics with post inhibitory rebound: A reduction to piecewise linear discontinuous circle maps. Zbl 0864.92008
Coombes, S.; Doole, S. H.
1996
An exothermic chemical reaction with linear feedback control. Zbl 0864.92018
Sexton, M. J.; Forbes, L. K.
1996
Oscillatory and chaotic wakes behind moving boundaries in reaction-diffusion systems. Zbl 0877.35058
Sherratt, Jonathan A.
1996
Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two. Zbl 0867.34036
Bai, Fengshan; Champneys, Alan R.
1996
Singularities of equations of Hodgkin-Huxley type. Zbl 0851.34044
Labouriau, Isabel Salgado; Ruas, Maria Aparecida Soares
1996
The consequences of interactive noise for understanding the dynamics of complex biochemical systems. Zbl 0853.92008
Liu, Junli; Crawford, John W.; Viola, Roberto
1996
Periodic solutions in systems of piecewise-linear differential equations. Zbl 0833.34027
Mestl, Thomas; Plahte, Erik; Omholt, Stig W.
1995
On the shape and dimension of the Lorenz attractor. Zbl 0838.34070
Doering, Charles R.; Gibbon, J. D.
1995
Whiskered tori with prefixed frequencies and Lyapunov spectrum. Zbl 0841.58023
Gentile, Guido
1995
Pattern evocation and geometric phases in mechanical systems with symmetry. Zbl 0855.70011
Marsden, Jerrold E.; Scheurle, Jürgen
1995
Global stabilization of the spinning top with mass imbalance. Zbl 0837.93048
Lum, Kai-Yew; Bernstein, Dennis S.; Coppola, Vincent T.
1995
Stability of power law fluid flow between rotating cylinders. Zbl 0820.76039
Pascal, J. P.; Rasmussen, H.
1995
Mode interactions with symmetry. Zbl 0821.34031
Castro, S. B. S. D.
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
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
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
1995
Weak coupling of strongly nonlinear, weakly dissipative identical oscillators. Zbl 0843.34042
Ashwin, Peter
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.
1995
Stability results for impulsive differential systems with applications to population growth models. Zbl 0808.34056
Liu, Xinzhi
1994
Global analysis of steady points for systems of differential equations with sigmoid interactions. Zbl 0821.34025
Plahte, Erik; Mestl, Thomas; Omholt, Stig. W.
1994
Oscillation and global stability in a delay logistic equation. Zbl 0806.34069
1994
On meromorphic complex differential equations. Zbl 0813.34005
Needham, D. J.; King, A. C.
1994
Periodic oscillations and attracting basins for a parametrically excited pendulum. Zbl 0807.34056
Capecchi, Danilo; Bishop, Steven R.
1994
Stability of a second-order differential equation with retarded argument. Zbl 0807.34086
Bajnov, D.; Domoshnitsky, A.
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.
1994
Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034
Forbes, Lawrence K.; Gray, Brian F.
1994
On the geometry and dynamics of floating four-bar linkages. Zbl 0800.93829
1994
Positive invariance and asymptotic stability of solutions to certain Riccati equations. Zbl 0824.93050
Kuiper, Hendrik J.
1994
Symmetry-breaking bifurcations on multidimensional fixed point subspaces. Zbl 0829.34031
Lari-Lavassani, Ali; Langford, William F.; Huseyin, Koncay
1994
Robust stability bounds for multi-degree-of-freedom linear systems with structured perturbations. Zbl 0809.93043
Cao, D. Q.; Shu, Z. Z.
1994
Lyapunov stability of columns, pipes and rotating shafts under time- dependent excitation. Zbl 0800.93593
Plaut, Raymond H.
1994
Single species dynamics in changing environments. Zbl 0822.34063
He, X. Z.; Zhang, B. G.; Gopalsamy, K.
1994
...and 93 more Documents
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#### Cited by 1,763 Authors

 23 Liu, Xinzhi 19 Jiang, Jifa 14 Merkin, John H. 14 Niu, Lei 12 Marsden, Jerrold Eldon 11 Yu, Pei 10 Stewart, Ian Nicholas 10 Yan, Jurang 9 Gaubert, Stéphane 9 Gyllenberg, Mats 9 Llibre, Jaume 9 Obaya, Rafael 8 Atanackovic, Teodor M. 8 Berezansky, Leonid M. 8 Chen, Fangqi 8 Chen, Lansun 8 Edwards, Roderick 7 Gopalsamy, Kondalsamy 7 Hou, Zhanyuan 7 Knobloch, Edgar 7 Langa, Jose’ Antonio 7 Liu, Bin 7 Liu, Gui Rong 7 Teng, Zhi-dong 7 Yan, Ping 7 Yang, Zhihui 6 Ashwin, Peter 6 Braverman, Elena 6 Celletti, Alessandra 6 Galeş, Cătălin Bogdan 6 Glass, Leon 6 Haddad, Wassim Michael 6 Kounadis, Anthony N. 6 Liu, Xianbin 6 Lu, Zhengyi 6 Richard, Adrien 6 Sanz, Ana M. 6 Scott, Stephen K. 6 Wang, Yi 6 Wiggins, Stephen 6 Zhang, Weinian 5 Agarwal, Ravi P. 5 Asano, Fumihiko 5 Bessa, Mário 5 Bi, Qinsheng 5 Bloch, Anthony M. 5 Cao, Jinde 5 Champneys, Alan R. 5 Chen, Yushu 5 Domoshnitsky, Alexander I. 5 Gentile, Guido 5 Golubitsky, Martin A. 5 Gouzé, Jean-Luc 5 Hurmuzlu, Yildirim 5 Huseyin, Koncay 5 Katz, Ricardo David 5 Kozić, Predrag 5 Kuang, Yang 5 Leitmann, George 5 Li, Wan-Tong 5 Li, Yongkun 5 Needham, David John 5 Nie, Linfei 5 Pavlović, Ratko G. 5 Ponce, Enrique 5 Saker, Samir H. 5 Tang, Sanyi 5 Viana, Ricardo Luiz 5 Wu, Jianhong 5 Zhu, Changrong 4 Alwan, Mohamad S. 4 Baigent, Stephen A. 4 Bartuccelli, Michele V. 4 Baxendale, Peter H. 4 Bridges, Thomas J. 4 Caraballo Garrido, Tomás 4 Chaves, Madalena 4 Chellaboina, Vijaysekhar 4 Chen, Chiun-Chuan 4 Damil, Noureddine 4 Dangelmayr, Gerhard 4 Dawes, Jonathan H. P. 4 Georgievskiĭ, Dmitriĭ Vladimirovich 4 Glavardanov, Valentin B. 4 González-Tokman, Cecilia 4 Hu, Lin 4 Hung, Li-Chang 4 Janevski, Goran 4 L’Afflitto, Andrea 4 Laing, Carlo R. 4 Langerock, Bavo 4 Leach, Jannie A. 4 Leonov, Gennadiĭ Alekseevich 4 Liu, Junli 4 Lu, Shiping 4 Mansour, Mahmoud Bakheet A. 4 Mimura, Masayasu 4 Moiola, Jorge Luis 4 Novo, Sylvia 4 Núñez, Carmen A. ...and 1,663 more Authors
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#### Cited in 241 Journals

 72 Physica D 47 Dynamics and Stability of Systems 44 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 40 Journal of Mathematical Analysis and Applications 40 Applied Mathematics and Computation 39 Journal of Differential Equations 38 Chaos, Solitons and Fractals 38 Nonlinear Dynamics 34 Chaos 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Nonlinear Analysis. Real World Applications 22 Dynamical Systems 20 Journal of Mathematical Biology 20 Communications in Nonlinear Science and Numerical Simulation 19 Mathematical and Computer Modelling 18 Bulletin of Mathematical Biology 16 Computers & Mathematics with Applications 14 Journal of Theoretical Biology 13 Journal of Computational and Applied Mathematics 12 Journal of Mathematical Physics 12 Automatica 12 Applied Mathematical Modelling 12 Journal of Dynamics and Differential Equations 11 Acta Mechanica 11 Journal of Fluid Mechanics 11 SIAM Journal on Applied Dynamical Systems 9 Journal of the Franklin Institute 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Multibody System Dynamics 8 Mathematical Methods in the Applied Sciences 8 Systems & Control Letters 8 Discrete and Continuous Dynamical Systems 8 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Applied Mathematics 7 Proceedings of the American Mathematical Society 7 Applied Mathematics and Mechanics. (English Edition) 7 Applied Mathematics Letters 7 Journal of Nonlinear Science 7 Journal of Difference Equations and Applications 7 Journal of Mathematical Chemistry 7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Qualitative Theory of Dynamical Systems 7 Stochastics and Dynamics 6 Archive for Rational Mechanics and Analysis 6 Communications in Mathematical Physics 6 Physics Letters. A 6 Mathematics and Computers in Simulation 6 Linear Algebra and its Applications 6 Celestial Mechanics and Dynamical Astronomy 6 Mathematical Problems in Engineering 6 Abstract and Applied Analysis 6 European Journal of Mechanics. A. Solids 6 The ANZIAM Journal 6 Journal of Biological Dynamics 5 International Journal of Control 5 International Journal of Engineering Science 5 International Journal of Systems Science 5 Nonlinearity 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 International Journal for Numerical Methods in Engineering 5 Japan Journal of Industrial and Applied Mathematics 5 Stochastic Processes and their Applications 5 Physics of Fluids 5 Regular and Chaotic Dynamics 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Engineering Mathematics 4 Mathematical Biosciences 4 Journal of Optimization Theory and Applications 4 Meccanica 4 Transactions of the American Mathematical Society 4 Ergodic Theory and Dynamical Systems 4 Stochastic Analysis and Applications 4 Acta Applicandae Mathematicae 4 MCSS. Mathematics of Control, Signals, and Systems 4 Journal of Mathematical Sciences (New York) 4 Advances in Difference Equations 4 Mathematical Biosciences and Engineering 4 International Journal of Biomathematics 3 Applicable Analysis 3 Discrete Applied Mathematics 3 Reports on Mathematical Physics 3 Reviews in Mathematical Physics 3 The Annals of Probability 3 Kybernetika 3 Results in Mathematics 3 Theoretical Computer Science 3 Theoretical Population Biology 3 Acta Mathematicae Applicatae Sinica. English Series 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 3 Bulletin of the American Mathematical Society. New Series 3 Archive of Applied Mechanics 3 Complexity 3 Differential Equations and Dynamical Systems 3 Journal of Inequalities and Applications 3 Journal of Biological Systems 3 Communications on Pure and Applied Analysis ...and 141 more Journals
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#### Cited in 50 Fields

 483 Ordinary differential equations (34-XX) 391 Dynamical systems and ergodic theory (37-XX) 354 Biology and other natural sciences (92-XX) 166 Partial differential equations (35-XX) 164 Systems theory; control (93-XX) 160 Mechanics of particles and systems (70-XX) 102 Mechanics of deformable solids (74-XX) 77 Fluid mechanics (76-XX) 56 Numerical analysis (65-XX) 48 Probability theory and stochastic processes (60-XX) 36 Operator theory (47-XX) 29 Classical thermodynamics, heat transfer (80-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Difference and functional equations (39-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Information and communication theory, circuits (94-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Combinatorics (05-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Operations research, mathematical programming (90-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Computer science (68-XX) 10 Integral equations (45-XX) 10 Statistics (62-XX) 7 Differential geometry (53-XX) 4 Convex and discrete geometry (52-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Astronomy and astrophysics (85-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-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)