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ORCIDSIAM Journal on Applied Dynamical Systems, Volume 4
Volume 4, Number 1, 2005
- Sarah Day, Yasuaki Hiraoka, Konstantin Mischaikow, Toshiyuki Ogawa:
Rigorous Numerics for Global Dynamics: A Study of the Swift-Hohenberg Equation. 1-31 - Stella Abreu
, Philip Aston, Ian Melbourne:
Symmetric Chaos in a Local Codimension Two Bifurcation with the Symmetry Group of a Square. 32-52 - Kresimir Josic, Jonathan E. Rubin:
Deriving Information about Architecture from Activity Patterns in Coupled Cell Systems. 53-77 - Martin Golubitsky, Ian Stewart, Andrei Török:
Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows. 78-100 - Martin Wechselberger:
Existence and Bifurcation of Canards in ℝ3 in the Case of a Folded Node. 101-139 - Gianne Derks, Georg A. Gottwald:
A Robust Numerical Method to Study Oscillatory Instability of Gap Solitary Waves. 140-158 - Paul Mullowney, Keith A. Julien, James D. Meiss:
Blinking Rolls: Chaotic Advection in a Three-Dimensional Flow with an Invariant. 159-186 - Benedict J. Leimkuhler, Christopher R. Sweet:
A Hamiltonian Formulation for Recursive Multiple Thermostats in a Common Timescale. 187-216
Volume 4, Number 2, 2005
- Yixin Guo, Carson C. Chow:
Existence and Stability of Standing Pulses in Neural Networks: I. Existence. 217-248 - Yixin Guo, Carson C. Chow:
Existence and Stability of Standing Pulses in Neural Networks: II. Stability. 249-281 - Sanjeeva Balasuriya:
Direct Chaotic Flux Quantification in Perturbed Planar Flows: General Time-Periodicity. 282-311 - Laurent Pujo-Menjouet, Samuel Bernard, Michael C. Mackey:
Long Period Oscillations in a G0 Model of Hematopoietic Stem Cells. 312-332 - Maria Landry, Sue Ann Campbell, Kirsten Morris, Cesar O. Aguilar:
Dynamics of an Inverted Pendulum with Delayed Feedback Control. 333-351 - Jeff Moehlis, Holger Faisst, Bruno Eckhardt:
Periodic Orbits and Chaotic Sets in a Low-Dimensional Model for Shear Flows. 352-376 - John B. Etnyre, Robert Ghrist:
Generic Hydrodynamic Instability of Curl Eigenfields. 377-390 - Wael Bahsoun, Pawel Góra, Abraham Boyarsky:
Markov Switching for Position Dependent Random Maps with Application to Forecasting. 391-406 - V. S. Gonchenko, Yuri A. Kuznetsov, Hil G. E. Meijer:
Generalized Hénon Map and Bifurcations of Homoclinic Tangencies. 407-436 - Peter Ashwin, Arek Goetz:
Invariant Curves and Explosion of Periodic Islands in Systems of Piecewise Rotations. 437-458
Volume 4, Number 3, 2005
- Frank Schilder, Hinke M. Osinga, Werner Vogt:
Continuation of Quasi-periodic Invariant Tori. 459-488 - Daniel Wilczak:
Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof. 489-514 - Holger R. Dullin, James D. Meiss, David G. Sterling:
Symbolic Codes for Rotational Orbits. 515-562 - Paul F. Tupper:
Ergodicity and the Numerical Simulation of Hamiltonian Systems. 563-587 - Carlo R. Laing:
Spiral Waves in Nonlocal Equations. 588-606 - Astrid Huber, Peter Szmolyan:
Geometric Singular Perturbation Analysis of the Yamada Model. 607-648 - Chris J. Budd, Vivi Rottschäfer, J. F. Williams:
Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg-Landau Equation. 649-678 - Bradford E. Peercy, James P. Keener:
Coupled Cell Model of Border Zone Arrhythmias. 679-710 - C. William Gear, Tasso J. Kaper, Ioannis G. Kevrekidis, Antonios Zagaris:
Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes. 711-732 - Yasumasa Nishiura, Daishin Ueyama, Tatsuo Yanagita:
Chaotic Pulses for Discrete Reaction Diffusion Systems. 733-754 - Kate A. Abell, Christopher E. Elmer, A. R. Humphries, Erik S. Van Vleck:
Computation of Mixed Type Functional Differential Boundary Value Problems. 755-781
Volume 4, Number 4, 2005
- Mason A. Porter, Panayotis G. Kevrekidis:
Bose-Einstein Condensates in Superlattices. 783-807 - Sarah E. Hewitt, J. Nathan Kutz:
Dynamics of the Optical Parametric Oscillator Near Resonance Detuning. 808-831 - Michael E. Henderson:
Computing Invariant Manifolds by Integrating Fat Trajectories. 832-882 - Shengfan Zhou, Fuqi Yin, Zigen Ouyang:
Random Attractor for Damped Nonlinear Wave Equations with White Noise. 883-903 - Wentao Sun, Michael Jeffrey Ward, Robert Russell:
The Slow Dynamics of Two-Spike Solutions for the Gray-Scott and Gierer-Meinhardt Systems: Competition and Oscillatory Instabilities. 904-953 - David J. Pinto, Russell K. Jackson, C. Eugene Wayne:
Existence and Stability of Traveling Pulses in a Continuous Neuronal Network. 954-984 - Thorsten Hüls:
Bifurcation of Connecting Orbits with One Nonhyperbolic Fixed Point for Maps. 985-1007 - James P. England, Bernd Krauskopf, Hinke M. Osinga:
Computing One-Dimensional Global Manifolds of Poincaré Maps by Continuation. 1008-1041 - Vanessa López, Philip Boyland, Michael T. Heath, Robert D. Moser:
Relative Periodic Solutions of the Complex Ginzburg-Landau Equation. 1042-1075 - Richard D. Eyres, Petri T. Piiroinen, Alan R. Champneys, N. A. J. Lieven:
Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief Valves. 1076-1106 - Janet Best, Alla Borisyuk, Jonathan E. Rubin, David Terman, Martin Wechselberger:
The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network. 1107-1139 - Pascal Chossat, Nawaf Bou-Rabee:
The Motion of the Spherical Pendulum Subjected to a Dn Symmetric Perturbation. 1140-1158 - Takahiro Ueda, Ken Sasaki, Shinsuke Watanabe:
Motion of the Tippe Top: Gyroscopic Balance Condition and Stability. 1159-1194 - Roy H. Goodman, Richard Haberman:
Kink-Antikink Collisions in the φ4 Equation: The n-Bounce Resonance and the Separatrix Map. 1195-1228
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