Nonlinear Phenomena Science

Nonlinear Phenomena Science

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Description

Introducing non-linear systems, energetics and chaos, this book describes coherent phenomena, emphasizes the analytic treatment of non-linearity by introducing simple models, and encourages the use of personal computers as the complementary approach.show more

Product details

  • Paperback | 176 pages
  • 175 x 235 x 10mm | 268g
  • Pearson Education (US)
  • Addison Wesley
  • Boston, United States
  • English
  • 013104043X
  • 9780131040434

Table of contents

Phase transformations and catastrophic theory - questions; first-order non-linear different equations - deterministic and stochastic; deterministic equations; stochastic equations; second-order non-linear differential equations and phase plane analysis; phase plane analysis; limit cycles (attractors); the effective potential; the predator-prey problem; higher-order equations; self-organized and enslaving questions; solitons - introduction; dispersion; the KdV equation; properties of the KdV equation; the inverse scattering method; other universal equations; first-order non-linear difference equations - questions; two-dimensional difference equations - area-preserving maps; the Chirikov maps; strange attractors (dissipative systems).show more