Advances in Dynamical Systems Theory, Models, Algorithms and Applications

The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the fiel...

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Médium: E-kniha
Jazyk:English
Vydavateľské údaje: IntechOpen 2021
Predmet:
bifurcation
Calculus and mathematical analysis
Differential calculus and equations
fractional-order
Mathematics
Mathematics and Science
neural network
predictive maintenance
text mining
topological entropy
ISBN:9781839691256, 1839691239, 1839691247, 9781839691249, 9781839691232, 1839691255
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Abstract The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
AbstractList The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
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SubjectTerms bifurcation
Calculus and mathematical analysis
Differential calculus and equations
fractional-order
Mathematics
Mathematics and Science
neural network
predictive maintenance
text mining
topological entropy
Title Advances in Dynamical Systems Theory, Models, Algorithms and Applications
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