Map dynamics of autocatalytic networks and the replicator equations

DOI10.1007/BF00573460zbMath0804.92018OpenAlexW2005592517MaRDI QIDQ1336374

Peter Schuster, Paul E. Phillipson

Publication date: 19 January 1995

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00573460

zbMATH Keywords

deterministic chaosperiodic oscillationsmolecular evolutionreplicationpolynomial mappingsmutationgeneralized Lotka-Volterra equationsPoincare sectionfour-dimensional systemcoupled nonlinear differential equationsautocatalytic networksaperiodic behavioursmap dynamics

Mathematics Subject Classification ID

Problems related to evolution (92D15) Topological dynamics (37B99) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Analytics of Bifurcation ⋮ BIFURCATION DYNAMICS OF THREE-DIMENSIONAL SYSTEMS

Cites Work

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• On the numerical computation of Poincaré maps
• A two-dimensional mapping with a strange attractor
• Local and global behavior near homoclinic orbits
• Bifurcation phenomena near homoclinic systems: A two-parameter analysis
• Global bifurcations and chaos. Analytical methods
• The dynamics of density dependent population models
• The Lorenz equations: bifurcations, chaos, and strange attractors
• On finite limit sets for transformations on the unit interval
• Full characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systems
• Bifurcations in Discrete Dynamical Systems with Cubic Maps
• On the occurrence of limit cycles in the Volterra-Lotka equation
• Period Three Implies Chaos
• A simple model for the balance between selection and mutation
• Deterministic Nonperiodic Flow

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