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Regular and Chaotic Dynamics (Applied Mathematical Sciences) Book
Regular and Chaotic Dynamics treats chaotic motion in nonlinear dynamical systems. It describes a rapidly growing field with applications throughout science and engineering. The main emphasis of the first edition was on intrinsic stochasticity in Hamiltonian systems. This has been broadened to include a thorough introduction to chaotic motion in dissipative systems in the final two chapters. Our treatment emphasizes physical insight rather than mathematical rigor. We present practical methods for describing the dynamics, for determining transitions from regular to stochastic behavior and routes to chaos, and for characterizing Hamiltonian chaos and dissipative chaotic attractors. We rely heavily on numerical computations to illustrate the methods and to validate them. The book is intended … read more...
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