Cyclic Model: Image from Astronomy Magazine, April 2009
  (click image to see movie version)

The Cyclic Universe Simplified: An Introduction
Short intro for students
Long intro for students
Popular Intro: Endless Universe: The Big Bang and Beyond  (Broadway Books, 2008)

NEW! Naturally explaining the amplitude of density perturbations in cyclic models
PDF preprint

NEW! Can the bounce be non-singular?
PDF preprint
              
Dark Energy & the Return of the Phoenix Universe
PDF preprint

Generation of Gravitational Waves in the Cyclic Universe 
(Subdominant) Primordial perturbations
(Dominant) 2nd Order Scalar-induced g-waves

Non-gaussianity: A Key Prediction of the Cyclic Model
How to compute non-gaussianity in cyclic models
An Intuitive Approach, 2nd Order
An Intuitive Approach, 3rd Order

Predictions of Spectral tilt
Inflationary vs. Cyclic Model Predictions

Generation of Density Perturbations in the Cyclic Universe (Linear Order)
PDF preprint

Why the cosmological constant is small and positive (a cyclic solution)
SCIENCE paper

The Cyclic Model of the Universe
Original  Paper (SCIENCE) 
More detailed description 

For Fun:
Cyclocosmos: Poetic Rendition of the Cyclic Model by Bill Robinson 
George Carlin on the cyclic universe
Jim Carrey, Stephen Hawking and the Ekpyrotic Universe (beginning after 2:30 min)

Cosmocard