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ORCIDSIAM Journal on Applied Dynamical Systems, Volume 12
Volume 12, Number 1, 2013
- Euiwoo Lee, David Terman:
Stable Antiphase Oscillations in a Network of Electrically Coupled Model Neurons. 1-27 - Frits Veerman, Arjen Doelman:
Pulses in a Gierer-Meinhardt Equation with a Slow Nonlinearity. 28-60 - Zachary P. Kilpatrick
, Bard Ermentrout:
Wandering Bumps in Stochastic Neural Fields. 61-94 - A. Machina, Roderick Edwards, Pauline van den Driessche:
Singular Dynamics in Gene Network Models. 95-125 - Petko M. Kitanov, William F. Langford, Allan R. Willms:
Double Hopf Bifurcation with Huygens Symmetry. 126-174 - Jens D. M. Rademacher:
First and Second Order Semistrong Interaction in Reaction-Diffusion Systems. 175-203 - Roberto Castelli, Jean-Philippe Lessard:
Rigorous Numerics in Floquet Theory: Computing Stable and Unstable Bundles of Periodic Orbits. 204-245 - Alexander N. Gorban:
Thermodynamic Tree: The Space of Admissible Paths. 246-278 - Cecilia G. Diniz Behn, Aparna Ananthasubramaniam, Victoria Booth:
Contrasting Existence and Robustness of REM/Non-REM Cycling in Physiologically Based Models of REM Sleep Regulatory Networks. 279-314 - Dominik M. Wittmann, Sabrina Hock, Fabian J. Theis:
Truth-Content and Phase Transitions of Random Boolean Networks with Generic Logics. 315-351 - Hiroko Kamei, Peter J. A. Cock:
Computation of Balanced Equivalence Relations and Their Lattice for a Coupled Cell Network. 352-382 - Alfonso Ruiz-Herrera, Pedro J. Torres:
Periodic Solutions and Chaotic Dynamics in Forced Impact Oscillators. 383-414 - Stilianos Louca, Fatihcan M. Atay:
Stationary States in Infinite Networks of Spiking Oscillators with Noise. 415-449 - Wei Wang, Anthony J. Roberts:
Self-Similarity and Attraction in Stochastic Nonlinear Reaction-Diffusion Systems. 450-486 - Xingye Kan, Jinqiao Duan, Ioannis G. Kevrekidis, Anthony J. Roberts:
Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach. 487-514 - Nicholas J. McCullen, Alastair M. Rucklidge, Catherine S. E. Bale, Tim J. Foxon, William F. Gale:
Multiparameter Models of Innovation Diffusion on Complex Networks. 515-532
Volume 12, Number 2, 2013
- David J. W. Simpson, Stephen John Hogan, Rachel Kuske:
Stochastic Regular Grazing Bifurcations. 533-559 - J. D. Mengers, J. M. Powers:
One-Dimensional Slow Invariant Manifolds for Fully Coupled Reaction and Micro-scale Diffusion. 560-595 - Anthony H. Dekker, Richard Taylor:
Synchronization Properties of Trees in the Kuramoto Model. 596-617 - Tyrus Berry, John Robert Cressman, Zrinka Greguric-Ferencek, Timothy D. Sauer:
Time-Scale Separation from Diffusion-Mapped Delay Coordinates. 618-649 - Karl B. Glasner, Alan E. Lindsay:
The Stability and Evolution of Curved Domains Arising from One-Dimensional Localized Patterns. 650-673 - Carmen Chicone, Michael T. Heitzman:
Phase-Locked Loops, Demodulation, and Averaging Approximation Time-Scale Extensions. 674-721 - Virginie De Witte, Fabio Della Rossa, Willy Govaerts, Yuri A. Kuznetsov:
Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles: Computational Formulas, Numerical Implementation, and Examples. 722-788 - Theodore Vo, Richard Bertram, Martin Wechselberger:
Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting. 789-830 - Scott G. McCalla, Björn Sandstede:
Spots in the Swift-Hohenberg Equation. 831-877 - Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov:
Spectral Stability for Subsonic Traveling Pulses of the Boussinesq "abc" System. 878-898 - Pete Donnell, Murad Banaji:
Local and Global Stability of Equilibria for a Class of Chemical Reaction Networks. 899-920 - Sadegh Esmaeil Zadeh Soudjani, Alessandro Abate:
Adaptive and Sequential Gridding Procedures for the Abstraction and Verification of Stochastic Processes. 921-956 - Jason D. Mireles-James, Konstantin Mischaikow:
Rigorous A Posteriori Computation of (Un)Stable Manifolds and Connecting Orbits for Analytic Maps. 957-1006 - Martin Hasler, Vladimir N. Belykh, Igor Belykh:
Dynamics of Stochastically Blinking Systems. Part I: Finite Time Properties. 1007-1030 - Martin Hasler, Vladimir N. Belykh, Igor Belykh:
Dynamics of Stochastically Blinking Systems. Part II: Asymptotic Properties. 1031-1084 - Divakar Viswanath, Xuan Liang, Kirill Serkh:
Metric Entropy and the Optimal Prediction of Chaotic Signals. 1085-1113 - Gareth E. Roberts:
Stability of Relative Equilibria in the Planar n-Vortex Problem. 1114-1134 - Bob W. Rink, Jan A. Sanders:
Amplified Hopf Bifurcations in Feed-Forward Networks. 1135-1157
Volume 12, Number 3, 2013
- Peter De Maesschalck, Mathieu Desroches:
Numerical Continuation Techniques for Planar Slow-Fast Systems. 1159-1180 - Chris Howcroft, Bernd Krauskopf, Mark H. Lowenberg, Simon A. Neild:
Influence of Variable Side-Stay Geometry on the Shimmy Dynamics of an Aircraft Dual-Wheel Main Landing Gear. 1181-1209 - Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Dmitry Tyugin:
Nonlinear Stationary States in PT-Symmetric Lattices. 1210-1236 - John M. Neuberger, Nándor Sieben, James W. Swift:
Newton's Method and Symmetry for Semilinear Elliptic PDE on the Cube. 1237-1279 - Stefanie Hittmeyer, Bernd Krauskopf, Hinke M. Osinga:
Interacting Global Invariant Sets in a Planar Map Model of Wild Chaos. 1280-1329 - Etienne Farcot, Yuan Yuan:
Homogeneous Auxin Steady States and Spontaneous Oscillations in Flux-Based Auxin Transport Models. 1330-1353 - Chih-Wen Shih, Jui-Pin Tseng:
A General Approach to Synchronization of Coupled Cells. 1354-1393 - Paul C. Bressloff, Jay M. Newby:
Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process. 1394-1435 - Anatoly I. Neishtadt, Tan Su:
On Asymptotic Description of Passage through a Resonance in Quasilinear Hamiltonian Systems. 1436-1473 - Nicolas D. Jimenez, Stefan Mihalas, Richard Brown, Ernst Niebur, Jonathan E. Rubin:
Locally Contractive Dynamics in Generalized Integrate-and-Fire Neurons. 1474-1514 - Andrés Rivera:
Periodic Solutions in the Generalized Sitnikov (N+1)-Body Problem. 1515-1540 - Robert Szczelina, Piotr Zgliczynski:
A Homoclinic Orbit in a Planar Singular ODE - A Computer Assisted Proof. 1541-1565 - Romain Veltz:
Interplay Between Synaptic Delays and Propagation Delays in Neural Field Equations. 1566-1612 - Guojian Lin, Weishi Liu, Yingfei Yi, Mingji Zhang:
Poisson-Nernst-Planck Systems for Ion Flow with a Local Hard-Sphere Potential for Ion Size Effects. 1613-1648 - A. K. Serenevy, Nancy J. Kopell:
Effects of Heterogeneous Periodic Forcing on Inhibitory Networks. 1649-1684
Volume 12, Number 4, 2013
- Carsten Wiuf, Elisenda Feliu:
Power-Law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species. 1685-1721 - Diána H. Knipl, Gergely Röst, Jianhong Wu:
Epidemic Spread and Variation of Peak Times in Connected Regions Due to Travel-Related Infections - Dynamics of an Antigravity-Type Delay Differential Model. 1722-1762 - Gemma Huguet, Rafael de la Llave:
Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence. 1763-1802 - Pablo Aguirre, Bernd Krauskopf, Hinke M. Osinga:
Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation. 1803-1846 - Ping Bi, Shigui Ruan:
Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models. 1847-1888 - Alejandro Luque, Daniel Peralta-Salas:
Motion of Charged Particles in ABC Magnetic Fields. 1889-1947 - Sherry E. Scott:
Different Perspectives and Formulas for Capturing Deviation from Ergodicity. 1948-1967 - John Guckenheimer, Chris Scheper:
Multiple Time Scale Analysis of a Model Belousov-Zhabotinskii Reaction. 1968-1996 - Assieh Saadatpour, Réka Albert, Timothy C. Reluga:
A Reduction Method for Boolean Network Models Proven to Conserve Attractors. 1997-2011 - Ana Sofia Rufino Ferreira, Murat Arcak:
A Graph Partitioning Approach to Predicting Patterns in Lateral Inhibition Systems. 2012-2031 - Grégory Faye:
Existence and Stability of Traveling Pulses in a Neural Field Equation with Synaptic Depression. 2032-2067 - Esther R. Widiasih:
Dynamics of the Budyko Energy Balance Model. 2068-2092 - Joceline Lega:
Erratum: Collective Behaviors in Two-Dimensional Systems of Interacting Particles. 2093
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