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- W4253247325 abstract "Lorenz (1963) has investigated a system of three first-order differential equations, whose solutions tend toward a “strange attractor”. We show that the same properties can be observed in a simple mapping of the plane defined by: % MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiEamaaBa % aaleaacaWGPbGaey4kaSIaaGymaaqabaGccqGH9aqpcaWG5bWaaSba % aSqaaiaadMgaaeqaaOGaey4kaSIaaGymaiabgkHiTiaadggacaWG4b % Waa0baaSqaaiaadMgaaeaacaaIYaaaaOGaaiilaiaaygW7caWG5bWa % aSbaaSqaaiaadMgacqGHRaWkcaaIXaaabeaakiabg2da9iaadkgaca % WG4bWaaSbaaSqaaiaadMgaaeqaaaaa!4D26! $${x_{i + 1}} = {y_i} + 1 - ax_i^2,{y_{i + 1}} = b{x_i}$$ . Numerical experiments are carried out for a =1.4, b = 0.3. Depending on the initial point (x 0,y 0), the sequence of points obtained by iteration of the mapping either diverges to infinity or tends to a strange attractor, which appears to be the product of a onedimensional manifold.by a Cantor set." @default.
- W4253247325 created "2022-05-12" @default.
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- W4253247325 date "1976-01-01" @default.
- W4253247325 modified "2023-10-10" @default.
- W4253247325 title "A Two-dimensional Mapping with a Strange Attractor" @default.
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- W4253247325 doi "https://doi.org/10.1007/978-0-387-21830-4_8" @default.
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