Abstract
A one-dimensional first-order nonlinear difference equation which is an extended version of currently well-studied systems is presented and solved analytically. From the exact solution it is shown that for a continuous range of a parameter of the system (i.e., 0 ≦ k2 < 1) nonperiodic solutions behave in a purely chaotic fashion, whereas for k2 = 1 the exact solution converges to a unique attractor.
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