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Chaotic Dynamics of Nonlinear Systems—
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The Story
Written when the young science of chaos was gaining a foothold in the scientific community, this book introduces the field's concepts, applications, theory, and technique. Suitable for advanced undergraduates and graduate students, researchers, and teachers of mathematics, physics, and engineering, the text's major prerequisite is familiarity with differential equations and linear vector spaces.
Author S. Neil Rasband discusses the major models for the transitions to chaos exhibited by dynamic systems, introducing the "classical" topics and examples fundamental to the discipline. The most important routes to chaos are presented within a unified framework and supported by integrated problem sets. Topics include one- and two-dimensional maps, universality theory, fractal dimension, differential and conservative dynamics, and other subjects. The text is supplemented by a helpful glossary, references, and an index.
Author S. Neil Rasband discusses the major models for the transitions to chaos exhibited by dynamic systems, introducing the "classical" topics and examples fundamental to the discipline. The most important routes to chaos are presented within a unified framework and supported by integrated problem sets. Topics include one- and two-dimensional maps, universality theory, fractal dimension, differential and conservative dynamics, and other subjects. The text is supplemented by a helpful glossary, references, and an index.
Reprint of the John Wiley & Sons, New York, 1990 edition.
science of chaos;chaotic dynamics;field's concepts;field's theory and applications;differential equations;linear vector spaces;transitions to chaos;dynamic systems;one- and two-dimensional maps;universality theory;fractal dimension;differential and conservative dynamics;mathematical theories;mathematics;physics;algebra;theoretical;Nonlinear Systems; Chaotic Behavior in Systems; Dynamic Systems; Chaos; Differential DynamicsDescription
Written when the young science of chaos was gaining a foothold in the scientific community, this book introduces the field's concepts, applications, theory, and technique. Suitable for advanced undergraduates and graduate students, researchers, and teachers of mathematics, physics, and engineering, the text's major prerequisite is familiarity with differential equations and linear vector spaces.
Author S. Neil Rasband discusses the major models for the transitions to chaos exhibited by dynamic systems, introducing the "classical" topics and examples fundamental to the discipline. The most important routes to chaos are presented within a unified framework and supported by integrated problem sets. Topics include one- and two-dimensional maps, universality theory, fractal dimension, differential and conservative dynamics, and other subjects. The text is supplemented by a helpful glossary, references, and an index.
Author S. Neil Rasband discusses the major models for the transitions to chaos exhibited by dynamic systems, introducing the "classical" topics and examples fundamental to the discipline. The most important routes to chaos are presented within a unified framework and supported by integrated problem sets. Topics include one- and two-dimensional maps, universality theory, fractal dimension, differential and conservative dynamics, and other subjects. The text is supplemented by a helpful glossary, references, and an index.
Reprint of the John Wiley & Sons, New York, 1990 edition.
science of chaos;chaotic dynamics;field's concepts;field's theory and applications;differential equations;linear vector spaces;transitions to chaos;dynamic systems;one- and two-dimensional maps;universality theory;fractal dimension;differential and conservative dynamics;mathematical theories;mathematics;physics;algebra;theoretical;Nonlinear Systems; Chaotic Behavior in Systems; Dynamic Systems; Chaos; Differential Dynamics
