d²x dt² dx +vf(x). + g(x)= 0, v ≥ 0, dt where f(x) and g(x) are well behaved functions and a constant, describes certain important dynamical systems. rx If F(x) = [" du f(u), by defining z = representation of Liénard's equation is dx dt 1 dx v dt = v(z – F(x)), + F(x), show that an alternative dz dt g(x) V

d²x dt² dx +vf(x). + g(x)= 0, v ≥ 0, dt where f(x) and g(x) are well behaved functions and a constant, describes certain important dynamical systems. rx If F(x) = [" du f(u), by defining z = representation of Liénard's equation is dx dt 1 dx v dt = v(z – F(x)), + F(x), show that an alternative dz dt g(x) V

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 15E

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