Nonlinear dynamics and chaotic phenomena. An introduction

zbMath0909.76002MaRDI QIDQ5906920

Bhimsen K. Shivamoggi

Publication date: 15 July 1998

Published in: Fluid Mechanics and its Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear differential equationsPainlevé propertyLyapunov exponentsphase spacedeterministic chaosArnold diffusionfractalsHamiltonian dynamicsbifurcation theorystrange attractorintegrable Hamiltonian systemsLorenz attractorKolmogorov entropyinternal resonancesmulti-fractalsBaker's transformationhomoclinic intersections of unstable manifoldsKolmogorov-Arnold-Moser theoremturbulence dynamics

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics (76-01) Dynamical systems approach to turbulence (76F20) Smooth dynamical systems: general theory (37Cxx)

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