2 One-dimensional models in discrete time So far, we have assumed that demographic events happen continuously over time and can thus be written as rates. For many biological species with overlapping generations

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• Demography
• Fisheries science
• Population ecology
• Dynamical systems
• Logistic map
• Recurrence relation
• BevertonHolt model
• Population dynamics
• Equilibrium point
• Logistic function
• Ricker model
• Pitchfork bifurcation

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• Bifurcation theory
• Systems science
• Systems theory
• Mathematical analysis
• Bifurcation diagram
• Dynamical system
• Hopf bifurcation
• Chaos theory
• Logistic map
• Attractor
• Period-doubling bifurcation

Chapter 11 Examples of Markov Processes Section 11.1 looks at the evolution of densities under the action of the logistic map; this shows how deterministic dynamical systems

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• Dynamical system
• Logistic map
• Cipher
• Public-key cryptography
• Integrated Encryption Scheme
• Key
• Butterfly effect
• Index of cryptography articles
• Probabilistic encryption
• Cryptography
• Chaos theory
• Lorenz attractor

The Definition Of Chaos Chaos is a concept that permeates into our lives from our heartbeats to the fish population in the reflecting pond. To many this concept strikes fear in their hearts because this means everything

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• Dynamical systems
• Attractor
• Non-linear systems
• Bifurcation theory
• Lorenz attractor
• Hénon map
• Logistic map
• Butterfly effect
• Bifurcation diagram
• Chaos theory
• Structure
• Mathematics

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• Mathematics
• Science
• Mathematical analysis
• Differential equations
• Mathematical modeling
• Logistic function
• Lotka–Volterra equation
• Logistic map
• Mathematical and theoretical biology
• Demography
• Population ecology
• Population

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• Estimation theory
• M-estimators
• Bycatch
• Water
• Dolphin
• Pantropical spotted dolphin
• Logistic map
• Spinner dolphin
• Maximum likelihood
• Oceanic dolphins
• Statistics
• Cetaceans

DISCRETE LOGISTIC MAP MICHAL MISIUREWICZ In one-dimensional dynamics computer experiments are very useful. They are easy to perform and often provide an important insight into the dynamics of the map that one investigate

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• Logistic map
• Dynamical systems
• Systems theory
• Chaos theory
• Dyadic transformation
• Misiurewicz point
• Mathematical analysis
• Fractals
• Complex dynamics

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• Mathematics
• Abstraction
• Systems
• Non-linear systems
• Dynamical system
• Nonlinear system
• Logistic map
• Nonlinear control
• Nonlinear Dynamics
• Chaos theory
• Structure
• Systems theory

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• Thermodynamics
• Systems theory
• Logistic map
• Rayleigh–Bénard convection
• Attractor
• Dynamical system
• Structure
• Coupled map lattice
• Physics
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• Non-equilibrium thermodynamics