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# Advance elements of optoisolation circuits : nonlinearity applications in engineering

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Genre/Form: Electronic books (OCoLC)972862837 Document, Internet resource Internet Resource, Computer File Ofer Aluf Find more information about: Ofer Aluf 9783319553160 331955316X 987373791 1 online resource. Preface; Contents; Introduction; 1 Optoisolation Circuits with Limit Cycles; 1.1 Optoisolation Circuits with Limit Cycles; 1.2 Optoisolation Circuits with Limit Cycles Stability Analysis; 1.3 Poincare-Bendixson Stability and Limit Cycle Analysis; 1.4 Optoisolation Circuits Poincare-Bendixson Analysis; 1.5 Optoisolation Nonlinear Oscillations Lienard Circuits; 1.6 Optoisolation Circuits with Weakly Nonlinear Oscillations; 1.7 Exercises; 2 Optoisolation Circuits Bifurcation Analysis (I); 2.1 Cusp Bifurcation Analysis System; 2.2 Optoisolation Circuits Cusp Bifurcation Analysis 2.3 Bautin Bifurcation Analysis System2.4 Optoisolation Circuits Bautin Bifurcation Analysis; 2.5 Bogdanov-Takens (Double-Zero) Bifurcation System; 2.6 Optoisolation Circuits Bogdanov-Takens (Double-Zero) Bifurcation; 2.7 Exercises; 3 Optoisolation Circuits Bifurcation Analysis (II); 3.1 Fold-Hopf Bifurcation System; 3.2 Optoisolation Circuits Fold-Hopf Bifurcation; 3.3 Hopf-Hopf Bifurcation System; 3.4 Optoisolation Circuits Hopf-Hopf Bifurcation System; 3.5 Neimark-Sacker (Torus) Bifurcation System; 3.6 Optoisolation Circuits Neimark-Sacker (Torus) Bifurcation; 3.7 Exercises 4 Optoisolation Circuits Analysis Floquet Theory4.1 Floquet Theory Basic Assumptions and Definitions; 4.2 Optoisolation Circuit's Two Variables with Periodic Sources; 4.3 Optoisolation Circuit's Two Variables with Periodic Sources Limit Cycle Stability; 4.4 Optoisolation Circuit Second-Order ODE with Periodic Source; 4.5 Optoisolation Circuit Second-Order ODE with Periodic Source Stability of a Limit Cycle; 4.6 Optoisolation Circuit Hills Equations; 4.7 Exercises; 5 Optoisolation NDR Circuits Behavior Investigation by Using Floquet Theory; 5.1 OptoNDR Circuit Floquet Theory Analysis 5.2 Chua's Circuit Fixed Points and Stability Analysis5.3 Chua's Circuit with OptoNDR Element Stability Analysis; 5.4 OptoNDR Circuit's Two Variables Analysis; 5.5 OptoNDR Circuit's Two Variables Analysis by Using Floquet Theory; 5.6 OptoNDR Circuit's Second-Order ODE with Periodic Source Stability of a Limit Cycle; 5.7 Exercises; 6 Optoisolation Circuits with Periodic Limit Cycle Solutions Orbital Stability; 6.1 Planar Cubic Vector Field and Van der Pol Equation; 6.2 OptoNDR Circuit Van der Pol Limit Cycle Solution; 6.3 Glycolytic Oscillator Periodic Limit Cycle and Stability 6.4 Optoisolation Glycolytic Circuits Limit Cycle Solution6.5 Exercises; 7 Optoisolation Circuits Poincare Maps and Periodic Orbit; 7.1 Poincare Maps and Periodic Orbit Flow; 7.2 Optoisolation van der pol Circuit Poincare Map and Periodic Orbit; 7.3 Li Dynamical System Poincare Map and Periodic Orbit; 7.4 OptoNDR Negative Differential Resistance (NDR) Oscillator Circuit Poincare Map and Periodic Orbit; 7.5 Exercises; 8 Optoisolation Circuits Averaging Analysis and Perturbation from Geometric Viewpoint; 8.1 Poincare Maps and Averaging; 8.2 OptoNDR Circuit van der Pol Perturbation Method Ofer Aluf.

### Abstract:

Further, it discusses a broad range of bifurcations related to optoisolation systems: cusp-catastrophe, Bautin bifurcation, Andronov-Hopf bifurcation, Bogdanov-Takens (BT) bifurcation, fold Hopf  Read more...

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