Ebook: Elements of Applied Bifurcation Theory

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Content:
Front Matter....Pages i-xv
Introduction to Dynamical Systems....Pages 1-35
Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems....Pages 36-72
One-Parameter Bifurcations of Equilibria in Continuous-Time Systems....Pages 73-102
One-Parameter Bifurcations of Fixed Points in Discrete-Time Systems....Pages 103-137
Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Systems....Pages 138-177
Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria....Pages 178-213
Other One-Parameter Bifurcations in Continuous-Time Systems....Pages 214-251
Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems....Pages 252-346
Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems....Pages 347-413
Numerical Analysis of Bifurcations....Pages 414-475
Back Matter....Pages 477-518

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Content:
Front Matter....Pages i-xv
Introduction to Dynamical Systems....Pages 1-35
Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems....Pages 36-72
One-Parameter Bifurcations of Equilibria in Continuous-Time Systems....Pages 73-102
One-Parameter Bifurcations of Fixed Points in Discrete-Time Systems....Pages 103-137
Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Systems....Pages 138-177
Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria....Pages 178-213
Other One-Parameter Bifurcations in Continuous-Time Systems....Pages 214-251
Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems....Pages 252-346
Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems....Pages 347-413
Numerical Analysis of Bifurcations....Pages 414-475
Back Matter....Pages 477-518
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