Methods of continuation and their implementation in the COCO software platform with application to delay differential equations

Keyphrases

• Adjoint Variables 33%
• Banach Space 33%
• Boundary Value Problem 66%
• CoCos 100%
• Community-driven Development 33%
• Connecting Orbits 33%
• Construction Graph 33%
• Continuation Method 100%
• Continuation Problem 33%
• Coupled Problems 33%
• Data Assimilation 33%
• Delay Differential Equations 100%
• Graph Representation 33%
• Initial Value Problem 33%
• Lagrangian 33%
• Large Families 33%
• Multi-dimensional Manifold 33%
• Multi-segment 66%
• Near-singular Problem 33%
• Nonlinear Constrained Optimization 33%
• Nonlinear Dynamic Optimization 33%
• Nonlinear Equations 33%
• Numerical Examples 33%
• Optimal Control Problem 33%
• Orbit Problem 33%
• Parameter Continuation 33%
• Periodic Orbits 100%
• Phase Response 66%
• Problem Construction 33%
• Quasi-periodic Orbit 33%
• Response Spectrum Analysis 33%
• Scalar 33%
• Segment Boundary 66%
• Sensitivity Analysis 33%
• Simultaneous Analysis 33%
• Software Platform 100%
• Supportive Community 33%
• Time History Response 33%
• Vectorized 33%

Mathematics

• Adjoints 33%
• Banach Space 33%
• Boundary Value Problems 66%
• Constrained Optimization 33%
• Delay-Differential Equation 100%
• Dimensional Manifold 33%
• Discretization 33%
• Experimental Data 33%
• Finite Time 33%
• Initial-Value Problem 33%
• Lagrangian 33%
• Manifold 66%
• Nonlinear Equation 33%
• Numerical Example 33%
• Objective Function 33%
• Optimal Control Problem 33%
• Periodic Orbit 100%
• Phase Shift 66%