Fundamental concepts of classical chaos I

DOI10.1007/BF02228810zbMath0902.58021MaRDI QIDQ4390980

Tassos C. Bountis

Publication date: 10 December 1998

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

zbMATH Keywords

chaos

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The universal metric properties of nonlinear transformations
• A two-dimensional mapping with a strange attractor
• Universal properties of maps on an interval
• The transition to aperiodic behavior in turbulent systems
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Regular and stochastic motion
• Quantitative universality for a class of nonlinear transformations
• Bifurcations in systems of three degrees of freedom
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow
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