Title | Bifurcation and Chaos: Analysis, Algorithms, Applications [electronic resource] / edited by R. Seydel, F. W. Schneider, T. Kรผpper, H. Troger |
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Imprint | Basel : Birkhรคuser Basel, 1991 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7004-7 |
Descript | X, 388 p. 91 illus. online resource |
A Complete Bifurcation Scenario for the 2-d Nonlinear Laplacian with Neumann Boundary Conditions on the Unit Square -- The Effect of Fluctuations on the Transition Behavior of a Nonlinear Chemical Oscillator -- Examples of Boundary Crisis Phenomenon in Structural Dynamics -- Bifurcation, Pattern Formation and Transition to Chaos in Combustion -- On the Primary and Secondary Bifurcation of Equations Involving Scalar Nonlinearities -- Periodic Solutions Leading to Chaos in an Oscillator with Quadratic and Cubic Nonlinearities -- Turing Structures in Anisotropic Media -- Regular and Chaotic Patterns of Rayleigh-Bรฉnard Convection -- Bifurcations in Slowly Rotating Systems with Spherical Geometry -- An Elastic Model with Continuous Spectrum -- Mechanistic Requirements for Chemical Oscillations -- Envelope Soliton Chans Model for Mechanical System -- Rolling Motion of Ships Treated as Bifurcation Problem -- Normal Forms for Planar Systems with Nilpotent Linear Part -- Two Methods for the Numerical Detection of Hopf Bifurcations -- Automatic Evaluation of First and Higher-Derivative Vectors -- On the Stability of a Spinning Satellite in a Central Force Field -- Codimension Two Bifurcation in an Approximate Model for Delayed Robot Control -- Lacunary Bifurcation of Multiple Solutions of Nonlinear Eigenvalue Problems -- Branches of Stationary Solutions for Parameter-dependent Reaction-Diffusion Systems from Climate Modeling -- A Note on the Detection of Chaos in Medium Sized Time Series -- An Approach for the Analysis of Spatially Localized Oscillations -- On the Application of Invariant Manifold Theory, in particular to Numerical Analysis -- Combined Analytical-Numerical Analysis of Nonlinear Dynamical Systems -- Monotony Methods and Minimal and Maximal Solutions for Nonlinear Ordinary Differential Equations -- Interior Crisis in an Electrochemical System -- Multiple Bifurcation of Free-Convection Flow Between Vertical Parallel Plates -- Description of Chaotic Motion by an Invariant Distribution at the Example of the Driven Duffing Oscillator -- Augmented Systems for Generalized Turning Points -- Numerical Analysis of the Orientability of Homoclinic Trajectories -- Qualitative and Quantitative Behaviour of Nonlinearly Elastic Rings under Hydrostatic Pressure -- Computation of Basins of Attraction for Three Coexisting Attractors -- Controllability of Lorenz Equation -- Spatially Periodic Forcing of Spatially Periodic Oscillators -- Solution Branches at Corank-Two Bifurcation Points with Symmetry -- Two-dimensional Maps Modelling Periodically Driven Strictly Dissipative Oscillators -- On Computing Coupled Turning Points of Parameter-Dependent Nonlinear Equations -- Generating Hopf Bifurcation Formulae with MAPLE -- On a Codimension Three Bifurcation Arising in an Autonomous Electronic Circuit -- Efficient Parallel Computation of Periodic Solutions of Parabolic Partial Differential Equations -- Comparison of Bifurcation Sets of Driven Strictly Dissipative Oscillators -- Echo Waves in Reaction-Diffusion Excitable Systems -- The Local Stability of Inactive Modes in Chaotic Multi-Degree-of-Freedom Systems -- Bifurcations in Dynamic Systems with Dry Friction -- The Approximate Analytical Methods in the Study of Bifurcations and Chaos in Nonlinear Oscillators -- Periodic and Homoclinic Orbits in Conservative and Reversible Systems -- On the Dynamics of a Horizontal, Rotating, Curved Shaft -- Lyapunov Exponents and Invariant Measures of Dynamic Systems -- Computation of Hopf Branches Bifurcating from Takens-Bogdanov Points for Problems with Symmetries