SENSITIVITY ANALYSIS FOR PERIODIC ORBITS AND QUASIPERIODIC INVARIANT TORI USING THE ADJOINT METHOD

Keyphrases

• Quasi-periodic 100%
• Sensitivity Analysis 100%
• Adjoint Method 100%
• Periodic Orbits 100%
• Invariant Tori 100%
• CoCos 100%
• Boundary Value Problem 66%
• Torus 66%
• Constraint Violation 66%
• Invariant Manifolds 66%
• Regularization Parameter 33%
• Numerical Algorithms 33%
• Continuously Differentiable Function 33%
• Indicator Function 33%
• Transversal 33%
• Linearization 33%
• Degree of Regularity 33%
• Lagrange multiplier 33%
• Lagrangian 33%
• Parallel Flow 33%
• Impredicative Encodings 33%
• Simultaneous Analysis 33%
• Nonlinear Constraints 33%
• Orbital Period 33%
• Hybrid Dynamical Systems 33%
• Second Derivative 33%
• Parameter Continuation 33%
• Test Functions 33%
• Parameter Constraints 33%
• Problem Construction 33%
• Parameter Perturbation 33%
• Dual Space 33%
• Algebraic Boundary 33%
• Algebraic Equation 33%
• Asymptotic Phase 33%
• Trajectory Basis 33%
• Flow Rotation 33%
• Setup Cost 33%
• Continuous Solution 33%
• Small Divisors 33%
• Complete Code 33%
• Smooth Dynamical Systems 33%
• Normal Hyperbolicity 33%
• Rigorous Error Bounds 33%
• Continuation of Solutions 33%
• Formal Expansion 33%
• Irrational Rotation number 33%
• Fréchet Differentiable 33%
• Space of Functions of Bounded Variation 33%

Mathematics

• Periodic Orbit 100%
• Adjoints 100%
• Boundary Value Problems 66%
• Invariant Manifold 66%
• Asymptotics 33%
• Error Bound 33%
• Initial Condition 33%
• Lagrangian 33%
• Transversals 33%
• Indicator Function 33%
• Hybrid Dynamical Systems 33%
• Monograph 33%
• test function φ 33%
• Dual Space 33%
• Numerical Algorithm 33%
• Algebraic Equation 33%
• Continuously Differentiable Function 33%
• Hyperbolicity 33%
• Rotation Number 33%
• Continuous Solution 33%
• Bounded Variation Function 33%
• Irrational Rotation 33%
• Lagrange Multiplier Method 33%