`a`
Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

Volume 32,Number 8,     August 2012

Special issue in honor of John Guckenheimer
on the occasion of his 65th birthday

1

Preface   Pages : i - iii

Tasso J. Kaper,  Bernd Krauskopf,  Hinke M. Osinga and Martin Wechselberger

 Abstract       Full Text      Related Articles

2

Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations   Pages : 2607 - 2651

Jan Sieber

 Abstract       References       Full Text      Related Articles

3

Phase models and oscillators with time delayed coupling   Pages : 2653 - 2673

Sue Ann Campbell and Ilya Kobelevskiy

 Abstract       References       Full Text      Related Articles

4

Numerical recipes for investigating endemic equilibria of age-structured SIR epidemics   Pages : 2675 - 2699

Dimitri Breda,  Stefano Maset and Rossana Vermiglio

 Abstract       References       Full Text      Related Articles

5

Dynamics of a delay differential equation with multiple state-dependent delays   Pages : 2701 - 2727

A. R. Humphries,  O. A. DeMasi,  F. M. G. Magpantay and F. Upham

 Abstract       References       Full Text      Related Articles

6

Type III excitability, slope sensitivity and coincidence detection   Pages : 2729 - 2757

Xiangying Meng,  Gemma Huguet and John Rinzel

 Abstract       References       Full Text      Related Articles

7

Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold   Pages : 2759 - 2803

Antonios Zagaris,  Christophe Vandekerckhove,  C. William Gear,  Tasso J. Kaper and Ioannis G. Kevrekidis

 Abstract       References       Full Text      Related Articles

8

The singular limit of a Hopf bifurcation   Pages : 2805 - 2823

John Guckenheimer and Hinke M. Osinga

 Abstract       References       Full Text      Related Articles

9

How to find a codimension-one heteroclinic cycle between two periodic orbits   Pages : 2825 - 2851

Wenjun Zhang,  Bernd Krauskopf and Vivien Kirk

 Abstract       References       Full Text      Related Articles

10

Cross-currents between biology and mathematics: The codimension of pseudo-plateau bursting   Pages : 2853 - 2877

Hinke M. Osinga,  Arthur Sherman and Krasimira Tsaneva-Atanasova

 Abstract       References       Full Text      Related Articles

11

Bifurcations of canard-induced mixed mode oscillations in a pituitary Lactotroph model   Pages : 2879 - 2912

Theodore Vo,  Richard Bertram and Martin Wechselberger

 Abstract       References       Full Text      Related Articles

12

Feed-forward networks, center manifolds, and forcing   Pages : 2913 - 2935

Martin Golubitsky and Claire Postlethwaite

 Abstract       References       Full Text      Related Articles      

13

Why optimal states recruit fewer reactions in metabolic networks   Pages : 2937 - 2950

Joo Sang Lee,  Takashi Nishikawa and Adilson E. Motter

 Abstract       References       Full Text      Related Articles

14

Waves in random neural media   Pages : 2951 - 2970

Stephen Coombes,  Helmut Schmidt,  Carlo R. Laing,  Nils Svanstedt and John A. Wyller

 Abstract       References       Full Text      Related Articles      

15

Stochastic phase dynamics of noise driven synchronization of two conditional coherent oscillators   Pages : 2971 - 2995

William F. Thompson,  Rachel Kuske and Yue-Xian Li

 Abstract       References       Full Text      Related Articles

16

The Hopf bifurcation with bounded noise   Pages : 2997 - 3007

Ryan T. Botts,  Ale Jan Homburg and Todd R. Young

 Abstract       References       Full Text      Related Articles