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Nonlinearities in Action : Oscillations, Chaos, Order, Fractals by Andrei V. Gaponov-Grekhov, Mikhail I. Rabinovich, A. V. Gaponov-Grekhov is a book available to read on EtoBox.

What is Nonlinearities in Action : Oscillations, Chaos, Order, Fractals about?

1. Introduction -- 2. Nonlinear Oscillations And Waves. Classical Results. 2.1. Oscillators. 2.1.1. A Marble In The Chute. 2.1.2. Spring Pendulum And Nonlinear Optics. 2.1.3. Nonlinear Landau Damping And Amplification. 2.2. Solitons. 2.2.1. The Fermi-pasta-ulam Paradox. 2.2.2. Solitons As Particles. 2.2.3. Solitons And Shock Waves. 2.3. Self-excited Oscillations. 2.3.1. Examples And Definitions. 2.3.2. Competition And Synchronization. 2.3.3. Self-excited Oscillations In Chains And Continuous Systems. 2.4. Bifurcations. 2.4.1. Acquisition Of A New Quality. 2.4.2. Bifurcations Of Equilibrium States. 2.4.3. Bifurcations Of Periodic Motion. 2.4.4. Bifurcations -- Changes Of Stability In Periodic Motion. 2.5. Modulation. 2.5.1. The Role Of Small Parameters. 2.5.2. Running Mandelstam Lattices. Modulation Of Waves By Waves. 2.5.3. Generation Of Modulation. 2.5.4. Self-modulation. 2.5.5. Recurrence. 2.5.6. Modulation Solitons --^ 3. Chaos. 3.1. Historical Remarks. 3.2. Marble In An Oscillating Chute. 3.3. Stochastic Self-excited Oscillations. 3.3.1. The Lorenz Attractor. 3.3.2. Synchronization -- Beats -- Chaos. 3.3.3. Autonomous Noise Generator. 3.3.4. Scenarios For The Birth Of Strange A

Author

Andrei V. Gaponov-Grekhov, Mikhail I. Rabinovich, A. V. Gaponov-Grekhov

Publisher

Springer Spektrum. in Springer-Verlag GmbH

Published

1992

Language

EN

ISBN

9780387519883

Subjects

Science, Physics, Stem