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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition.

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From the given differential equation x˙=x(1-x), the variable x˙ explicitly depends on x and...Given information: dxdτ = rx (1- xk) - x21 + x2 The given expression is dimensionless for budworm...Josephson junctions are superconducting devices that are capable of generating voltage oscillations...The forecast for lovers is governed by the general linear system R˙= aR+bJ And J˙= cR+dJ Here, R˙ is...Following fixed points have an index equal to +1. Sketch for the stable spiral, The above sketch...The power series expansion of the function f(x)= an(x- c)n is given as, ∑0∞an(x - c)n=a0+ a1(x- c)+...Let r0 be an initial condition on the surface curve S. Since θ˙ = 1 the first return to S occurs...a) V˙=−e22−4be32 e2 and e3 are error dynamic terms. The given condition is V˙≤−kV Putting...The function equation arose in renormalization equation is, g(x) = αg2(xa) The power series...

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