MURPHYS-HSFS-2014 - 7th International Workshop on Multi-Rate Processes & Hysteresis, 2nd International Workshop on Hysteresis and Slow-Fast Systems, April 7-11, 2014 - Abstract
Pimenov, Alexander
Systems of operator-differential equations which hysteresis operators can have unstable equilibrium points with an open basin of attraction. We present an example of a robust homoclinic loop in a population dynamics model with hysteretic response of prey to variations of predator. A mechanism creating this homoclinic trajectory is discussed.