scholarly journals On Dynamics and Invariant Sets in Predator-Prey Maps

2020 ◽  
Author(s):  
Blai Vidiella ◽  
J. Tomás Lázaro ◽  
Lluís Alsedà ◽  
Josep Sardanyés
Keyword(s):  
Invariant Sets ◽  
Predator Prey

Cognition in predator-prey systems: Searching image and prey polymorphism

1997 ◽  
Author(s):  
Alan B. Bond ◽  
Alan C. Kamil ◽  
Christopher Cink
Keyword(s):  
Predator Prey

Minimal Invariant Sets of Discrete Dynamic Systems with a Stable Linear Part

2001 ◽  
Vol 33 (5-8) ◽  
pp. 9
Author(s):  
Vsevolod M. Kuntsevich ◽  
Boris N. Pshenitchnyi
Keyword(s):  
Dynamic Systems ◽  
Linear Part ◽  
Invariant Sets ◽  
Discrete Dynamic ◽  
Discrete Dynamic Systems ◽  
Stable Linear

Action-Minimizing Curves for Tonelli Lagrangians

2017 ◽  
Author(s):  
Alfonso Sorrentino
Keyword(s):  
Critical Value ◽  
The Other ◽  
Invariant Sets ◽  
Simple Pendulum ◽  
New Concepts ◽  
Peierls Barrier ◽  
Average Action

This chapter discusses the notion of action-minimizing orbits. In particular, it defines the other two families of invariant sets, the so-called Aubry and Mañé sets. It explains their main dynamical and symplectic properties, comparing them with the results obtained in the preceding chapter for the Mather sets. The relation between these new invariant sets and the Mather sets is described. As a by-product, the chapter introduces the Mañé's potential, Peierls' barrier, and Mañé's critical value. It discusses their properties thoroughly. In particular, it highlights how this critical value is related to the minimal average action and describes these new concepts in the case of the simple pendulum.

Quasi-periodic dynamics in a model of “predator–prey” communities coupled by migration

2020 ◽  
Vol 23 (2) ◽  
pp. 3-11
Author(s):  
E.V. Kurilova ◽  
M.P. Kulakov
Keyword(s):  
Predator Prey ◽  
Periodic Dynamics

On the construction of D-invariant sets for linear polytopic delay difference inclusions

2012 ◽  
Vol 46 (2-3) ◽  
pp. 183-195
Author(s):  
Rob H. Gielen ◽  
Mircea Lazar
Keyword(s):  
Invariant Sets ◽  
Difference Inclusions ◽  
Delay Difference
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