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Exercise 6.2: Some dynamical systems.

Use an appropriate integration method (e.g., improved Euler) to determine the qualitative behavior of each of the following dynamical systems. Plot your solutions.

a) Lorentz system:

on the interval with constants

Use the initial conditions

b) Francheschini system:

on the interval , with p-parameter values of

and . Use the initial conditions

c) Rossler system:

on the interval with constants

Use the initial conditions