Essentials of nonlinear circuit dynamics with MATLAB and laboratory experiments / Arturo Buscarino, Luigi Fortuna and Mattia Frasca

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Buscarino, Arturo [VerfasserIn]

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Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Verlag: Boca Raton ; London ; New York : CRC Press, [2017]Beschreibung: 1 Online-RessourceISBN:

9781315226309
1351849735
9781351849739

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Andere physische Formen: 1138198137. | 9781138198135. | Erscheint auch als: Essentials of nonlinear circuit dynamics with MATLAB and laboratory experiments. Druck-Ausgabe Boca Raton : CRC Press, Taylor & Francis Group, 2017. x, 289 SeitenDDC-Klassifikation:

621.3815

RVK: RVK: ZN 5405LOC-Klassifikation:

TK454

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Zusammenfassung: 2.6 Characterizing elements of chaotic behavior2.6.1 Lyapunov exponents; 2.7 Exercises; 3 Bifurcations; 3.1 Introduction to bifurcations in dynamical systems; 3.2 Elementary bifurcations; 3.2.1 Supercritical pitchfork bifurcation; 3.2.2 Subcritical pitchfork bifurcation; 3.2.3 Saddle-node bifurcation; 3.2.4 Transcritical bifurcation; 3.2.5 Perturbed subcritical pitchfork bifurcation; 3.2.6 Imperfect bifurcations; 3.3 Bifurcations towards catastrophes; 3.4 Exercises; 4 Oscillators; 4.1 Hopf bifurcation; 4.2 Examples of oscillations and oscillators; 4.3 Genesis of electronic oscillatorsZusammenfassung: 4.4 Liénard systems4.4.1 The Liénard's theorem; 4.5 Dynamics of the van der Pol oscillator; 4.6 Lur'e systems and the design of oscillators; 4.7 Describing functions: essential elements; 4.8 Hewlett oscillator; 4.9 2D maps; 4.9.1 The Henon map; 4.9.2 The Lozi map; 4.9.3 The Ikeda map; 4.10 Summary; 4.11 Exercises; 5 Strange attractors and continuous-time chaotic systems; 5.1 Features of chaos in continuous-time systems; 5.2 Genesis of chaotic oscillations: the Chua's circuit; 5.3 Canonical chaotic attractors and their bifurcation diagrams; 5.3.1 The Rössler system; 5.3.2 The Lorenz systemZusammenfassung: 5.3.3 Thomas' cyclically symmetric attractor5.4 Further essential aspects of chaotic systems; 5.4.1 Computation of the Lyapunov spectrum; 5.4.2 The dparameter; 5.4.3 Peak-to-peakdynamics; 5.4.4 Reconstruction of the attractor; 5.5 Chaotic dynamics in Lur'e systems; 5.6 Hyperchaotic circuits; 5.7 Summary; 5.8 Exercises; 6 Cellular nonlinear networks; 6.1 CNN: basic notations; 6.2 CNNs: main aspects; 6.3 Cloning templates and features of CNNs; 6.3.1 A simple software implementation of a CNN; 6.3.2 Choice of the templates; 6.4 The CNN as a generator of nonlinear dynamicsZusammenfassung: 6.4.1 Discrete component realization of SC-CNN cells6.4.2 Chua's circuit dynamics generated by the SC-CNN cells; 6.4.3 A generalized cell for realizing any multivariable non-linearities using PWL functions; 6.5 Reaction-diffusion CNN; 6.5.1 The reaction CNN cell; 6.5.2 Two layer reaction-diffusion CNN; 6.5.3 Chua's circuit reaction-diffusion CNN; 6.5.4 Reaction-diffusion CNN as a network of cells; 6.5.5 Diffusive networks of multilayer CNN; 6.6 Summary; 6.7 Exercises; 7 Synchronization and chaos control; 7.1 Introduction; 7.2 Principles of synchronization of nonlinear dynamical systemsZusammenfassung: Cover; Half Title; Title Page; Copyright Page; Contents; Preface; 1 Introduction to nonlinear systems; 1.1 Classification of complex systems; 1.2 First-order systems; 1.2.1 Graphical analysis of equilibrium points; 1.3 Numerical solutions of differential equations; 1.3.1 Runge-Kutta methods; 1.4 Exercises; 2 The logistic map and elements of complex system dynamics; 2.1 The logistic map; 2.2 Equilibrium points and periodic solutions of the logistic map; 2.3 Chaos in the logistic map; 2.4 Intermittency; 2.5 Bifurcation diagram and Feigenbaum constantPPN: PPN: 886009553Package identifier: Produktsigel: ZDB-4-NLEBK

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